92 results on '"Fleming, C. H."'
Search Results
2. On the estimators of autocorrelation model parameters
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Fleming, C. H. and Calabrese, J. M.
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Statistics - Methodology - Abstract
Estimation of autocorrelations and spectral densities is of fundamental importance in many fields of science, from identifying pulsar signals in astronomy to measuring heart beats in medicine. In circumstances where one is interested in specific autocorrelation functions that do not fit into any simple families of models, such as auto-regressive moving average (ARMA), estimating model parameters is generally approached in one of two ways: by fitting the model autocorrelation function to a non-parameteric autocorrelation estimate via regression analysis or by fitting the model autocorrelation function directly to the data via maximum likelihood. Prior literature suggests that variogram regression yields parameter estimates of comparable quality to maximum likelihood. In this letter we demonstrate that, as sample size is increases, the accuracy of the maximum-likelihood estimates (MLE) ultimately improves by orders of magnitude beyond that of variogram regression. For relatively continuous and Gaussian processes, this improvement can occur for sample sizes of less than 100. Moreover, even where the accuracy of these methods is comparable, the MLE remains almost universally better and, more critically, variogram regression does not provide reliable confidence intervals. Inaccurate regression parameter estimates are typically accompanied by underestimated standard errors, whereas likelihood provides reliable confidence intervals., Comment: 10 pages, 5 figures
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- 2013
3. The equilibrium states of open quantum systems in the strong coupling regime
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Subasi, Y., Fleming, C. H., Taylor, J. M., and Hu, B. L.
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Condensed Matter - Statistical Mechanics ,Quantum Physics - Abstract
In this work we investigate the late-time stationary states of open quantum systems coupled to a thermal reservoir in the strong coupling regime. In general such systems do not necessarily relax to a Boltzmann distribution if the coupling to the thermal reservoir is non-vanishing or equivalently if the relaxation timescales are finite. Using a variety of non-equilibrium formalisms valid for non-Markovian processes, we show that starting from a product state of the closed system = system + environment, with the environment in its thermal state, the open system which results from coarse graining the environment will evolve towards an equilibrium state at late-times. This state can be expressed as the reduced state of the closed system thermal state at the temperature of the environment. For a linear (harmonic) system and environment, which is exactly solvable, we are able to show in a rigorous way that all multi-time correlations of the open system evolve towards those of the closed system thermal state. Multi-time correlations are especially relevant in the non-Markovian regime, since they cannot be generated by the dynamics of the single-time correlations. For more general systems, which cannot be exactly solved, we are able to provide a general proof that all single-time correlations of the open system evolve to those of the closed system thermal state, to first order in the relaxation rates. For the special case of a zero-temperature reservoir, we are able to explicitly construct the reduced closed system thermal state in terms of the environmental correlations., Comment: 20 pages, 2 figures
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- 2012
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4. Non-Markovian Dynamics of Open Quantum Systems: Stochastic Equations and their Perturbative Solutions
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Fleming, C. H. and Hu, B. L.
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Quantum Physics - Abstract
We treat several key stochastic equations for non-Markovian open quantum system dynamics and present a formalism for finding solutions to them via canonical perturbation theory, without making the Born-Markov or rotating wave approximations (RWA). This includes master equations of the (asymptotically) stationary, periodic, and time-nonlocal type. We provide proofs on the validity and meaningfulness of the late-time perturbative master equation and on the preservation of complete positivity despite a general lack of Lindblad form. More specifically, we show how the algebraic generators satisfy the theorem of Lindblad and Gorini, Kossakowski and Sudarshan, even though the dynamical generators do not. These proofs ensure the mathematical viability and physical soundness of solutions to non-Markovian processes. Within the same formalism we also expand upon known results for non-Markovian corrections to the quantum regression theorem. Several directions where these results can be usefully applied to are also described, including the analysis of near-resonant systems where the RWA is inapplicable and the calculation of the reduced equilibrium state of open systems., Comment: 28 pages, 1 figure
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- 2011
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5. Quantum Brownian motion of multipartite systems and their entanglement dynamics
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Fleming, C. H., Roura, Albert, and Hu, B. L.
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Quantum Physics - Abstract
We solve the model of N quantum Brownian oscillators linearly coupled to an environment of quantum oscillators at finite temperature, with no extra assumptions about the structure of the system-environment coupling. Using a compact phase-space formalism, we give a rather quick and direct derivation of the master equation and its solutions for general spectral functions and arbitrary temperatures. Since our framework is intrinsically nonperturbative, we are able to analyze the entanglement dynamics of two oscillators coupled to a common scalar field in previously unexplored regimes, such as off resonance and strong coupling., Comment: 10 pages, 6 figures
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- 2011
6. Nonequilibrium Dynamics of Charged Particles in an Electromagnetic Field: Causal and Stable Dynamics from 1/c Expansion of QED
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Fleming, C. H., Johnson, P. R., and Hu, B. L.
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Quantum Physics - Abstract
We derive from a microscopic Hamiltonian a set of stochastic equations of motion for a system of spinless charged particles in an electromagnetic (EM) field based on a consistent application of a dimensionful 1/c expansion of quantum electrodynamics (QED). All relativistic corrections up to order 1/c^3 are captured by the dynamics, which includes electrostatic interactions (Coulomb), magnetostatic backreaction (Biot-Savart), dissipative backreaction (Abraham-Lorentz) and quantum field fluctuations at zero and finite temperatures. With self-consistent backreaction of the EM field included we show that this approach yields causal and runaway-free equations of motion, provides new insights into charged particle backreaction, and naturally leads to equations consistent with the (classical) Darwin Hamiltonian and has quantum operator ordering consistent with the Breit Hamiltonian. To order 1/c^3 the approach leads to a nonstandard mass renormalization which is associated with magnetostatic self-interactions, and no cutoff is required to prevent runaways. Our new results also show that the pathologies of the standard Abraham-Lorentz equations can be seen as a consequence of applying an inconsistent (i.e. incomplete, mixed-order) expansion in 1/c, if, from the start, the analysis is viewed as generating a low-energy effective theory rather than an exact solution. Finally, we show that the 1/c expansion within a Hamiltonian framework yields well-behaved noise and dissipation, in addition to the multiple-particle interactions., Comment: 17 pages, 2 figures
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- 2011
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7. Initial state preparation with dynamically generated system-environment correlations
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Fleming, C. H., Hu, B. L., and Roura, Albert
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Quantum Physics - Abstract
The dependence of the dynamics of open quantum systems upon initial correlations between the system and environment is an utterly important yet poorly understood subject. For technical convenience most prior studies assume factorizable initial states where the system and its environments are uncorrelated, but these conditions are not very realistic and give rise to peculiar behaviors. One distinct feature is the rapid build up or a sudden jolt of physical quantities immediately after the system is brought in contact with its environments. The ultimate cause of this is an initial imbalance between system-environment correlations and coupling. In this note we demonstrate explicitly how to avoid these unphysical behaviors by proper adjustments of correlations and/or the coupling, for setups of both theoretical and experimental interest. We provide simple analytical results in terms of quantities that appear in linear (as opposed to affine) master equations derived for factorized initial states., Comment: 6 pages, 2 figures
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- 2011
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8. Non-Markovian Dynamics and Entanglement of Two-level Atoms in a Common Field
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Fleming, C. H., Cummings, N. I., Anastopoulos, Charis, and Hu, B. L.
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Quantum Physics - Abstract
We derive the stochastic equations and consider the non-Markovian dynamics of a system of multiple two-level atoms in a common quantum field. We make only the dipole approximation for the atoms and assume weak atom-field interactions. From these assumptions we use a combination of non-secular open- and closed-system perturbation theory, and we abstain from any additional approximation schemes. These more accurate solutions are necessary to explore several regimes: in particular, near-resonance dynamics and low-temperature behavior. In detuned atomic systems, small variations in the system energy levels engender timescales which, in general, cannot be safely ignored, as would be the case in the rotating-wave approximation (RWA). More problematic are the second-order solutions, which, as has been recently pointed out, cannot be accurately calculated using any second-order perturbative master equation, whether RWA, Born-Markov, Redfield, etc.. This latter problem, which applies to all perturbative open-system master equations, has a profound effect upon calculation of entanglement at low temperatures. We find that even at zero temperature all initial states will undergo finite-time disentanglement (sometimes termed "sudden death"), in contrast to previous work. We also use our solution, without invoking RWA, to characterize the necessary conditions for Dickie subradiance at finite temperature. We find that the subradiant states fall into two categories at finite temperature: one that is temperature independent and one that acquires temperature dependence. With the RWA there is no temperature dependence in any case., Comment: 17 pages, 13 figures, v2 updated references, v3 clarified results and corrected renormalization, v4 further clarified results and new Fig. 8-10
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- 2010
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9. The strong-coupling master equation of quantum open systems
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Fleming, C. H.
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Quantum Physics - Abstract
In this paper we demonstrate how to generate the strong-coupling master equations for open quantum systems of continuous variables. These are the dissipative master equations of quantum Brownian particles for which the environmental noise is stronger than other system forces. Our strong-coupling master equations are very different from other so-called "strong-coupling" master equations (e.g. the quantum Smoluchowski equation) which are perturbing off a limit in which the system energy is taken to be perturbative and thus the dynamics is principally Markovian. Such approximations also require the system mass to be asymptotically large (even as compared to the ratio of noise and induced system frequencies) and thus they do not fully categorize the regime of what one might consider to be strong coupling. Our master equations are highly non-Markovian and radically different for different system potentials, admitting no apparent generic form. This result is quite exciting as it brings forth a new regime for theoretical exploration: the regime of strong noise and dissipation yet non-Markovian, such as strong coupling to a low-temperature environment with large 1/f fluctuations., Comment: 9 pages, no figures
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- 2010
10. Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle
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Fleming, C. H., Hu, B. L., and Roura, Albert
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Quantum Physics - Abstract
The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for an open quantum system interacting with a non-equilibrium environment, where temperature is no longer a valid notion, a fluctuation-dissipation inequality exists. Clearly stated, quantum fluctuations are bounded below by quantum dissipation, whereas classically the fluctuations can be made to vanish. The lower bound of this inequality is exactly satisfied by (zero-temperature) quantum noise and is in accord with the Heisenberg uncertainty principle, both in its microscopic origins and its influence upon systems. Moreover, it is shown that the non-equilibrium fluctuation-dissipation relation determines the non-equilibrium uncertainty relation in the weak-damping limit., Comment: 6 pages, no figures
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- 2010
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11. Decoherence Strength of Multiple Non-Markovian Environments
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Fleming, C. H., Hu, B. L., and Roura, Albert
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Quantum Physics - Abstract
It is known that one can characterize the decoherence strength of a Markovian environment by the product of its temperature and induced damping, and order the decoherence strength of multiple environments by this quantity. We show that for non-Markovian environments in the weak coupling regime there also exists a natural (albeit partial) ordering of environment-induced irreversibility within a perturbative treatment. This measure can be applied to both low-temperature and non-equilibrium environments., Comment: 6 pages, 1 figure, v3 included figure, appendix, and clarification of results
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- 2010
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12. Exact analytical solutions to the master equation of quantum Brownian motion for a general environment
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Fleming, C. H., Roura, Albert, and Hu, B. L.
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Quantum Physics - Abstract
We revisit the model of a quantum Brownian oscillator linearly coupled to an environment of quantum oscillators at finite temperature. By introducing a compact and particularly well-suited formulation, we give a rather quick and direct derivation of the master equation and its solutions for general spectral functions and arbitrary temperatures. The flexibility of our approach allows for an immediate generalization to cases with an external force and with an arbitrary number of Brownian oscillators. More importantly, we point out an important mathematical subtlety concerning boundary-value problems for integro-differential equations which led to incorrect master equation coefficients and impacts on the description of nonlocal dissipation effects in all earlier derivations. Furthermore, we provide explicit, exact analytical results for the master equation coefficients and its solutions in a wide variety of cases, including ohmic, sub-ohmic and supra-ohmic environments with a finite cut-off., Comment: 37 pages (26 + appendices), 14 figures; this paper is an evolution of arXiv:0705.2766v1, but contains far more general and significant results; v2 minor changes, double column, improved Appendix C
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- 2010
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13. Solutions to Master Equations of Quantum Brownian Motion in a General Environment with External Force
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Fleming, C. H., Hu, B. L., and Roura, Albert
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Quantum Physics - Abstract
We revisit the model of a system made up of a Brownian quantum oscillator under the influence of an external classical force and linearly coupled to an environment made up of many quantum oscillators at zero or finite temperature. We show that the HPZ master equation for the reduced density matrix derived earlier [B.L. Hu, J.P. Paz, Y. Zhang, Phys. Rev. D 45, 2843 (1992)] with coefficients obtained from solutions of integro-differential equations can assume closed functional forms for a fairly general class of spectral densities of the environment at arbitrary temperature and coupling strength. As an illustration of these new results we solve the corresponding master equation and calculate, among other physical quantities, the uncertainty function whose late time behavior can be obtained fully. This produces a formula for investigating the standard quantum limit which is central to addressing many theoretical issues in macroscopic quantum phenomena and experimental concerns related to low temperature precision measurements. We find that any initial state always settles down to a Gaussian density matrix whose covariance is determined by the thermal reservoir and whose mean is determined by the external force. For more general spectra we show that the solution of the master equation can be reduced to solving for the motion of a classical parametric oscillator with parametric frequency determined by the unsolved for master equation coefficients. States in these systems experience evolution that is parametrically similar to the simpler evolution explicitly determined for in the case of Laurent-series spectra., Comment: 48 pages, 9 figures, REVTeX4
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- 2007
14. Estimating where and how animals travel: an optimal framework for path reconstruction from autocorrelated tracking data
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Fleming, C. H., Fagan, W. F., Mueller, T., Olson, K. A., Leimgruber, P., and Calabrese, J. M.
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- 2016
15. movedesign: Shiny R app to evaluate sampling design for animal tracking movement studies
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(0000-0003-4850-6193) Simoes Silva, I. M., (0000-0002-9356-6518) Fleming, C. H., (0000-0003-4512-0535) Noonan, M. J., (0000-0003-2433-9052) Fagan, W. F., (0000-0003-0575-6408) Calabrese, J., (0000-0003-4850-6193) Simoes Silva, I. M., (0000-0002-9356-6518) Fleming, C. H., (0000-0003-4512-0535) Noonan, M. J., (0000-0003-2433-9052) Fagan, W. F., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
Projects focused on movement behavior and home range are commonplace, but beyond a focus on choosing appropriate research questions, there are no clear guidelines for such studies. The estimation of space-use and movement properties is often necessary to answer basic movement ecology questions, but designing an animal tracking study to produce reliable estimates is often done in an ad hoc manner. We developed 'movedesign', a user-friendly Shiny application, which can be utilized to investigate the precision of three estimates regularly reported in movement and spatial ecology studies: home range area, speed, and distance traveled. Conceptually similar to statistical power analysis, this application enables users to assess the degree of estimate precision that may be achieved with a given sampling design. Leveraging the 'ctmm' R package, we utilize two methods proven to handle many common biases in animal movement datasets: autocorrelated Kernel Density Estimators (AKDE) and continuous-time speed and distance (CTSD) estimators. Longer sampling durations are required to reliably estimate home range areas via the detection of a sufficient number of home range crossings. In contrast, speed and distance estimation requires a sampling interval short enough to ensure that a statistically significant signature of the animal's velocity remains in the data. This application addresses key challenges faced by researchers when designing tracking studies, including the trade-off between long battery life and high resolution of GPS devices, which may result in a compromise between reliably estimating home range or speed and distance. 'movedesign' has broad applications for researchers and decision-makers, supporting them to focus efforts and resources in achieving the optimal sampling design strategy for their research questions, prioritizing the correct deployment decisions for insightful and reliable outputs, while understanding the trade-off associated with these choices.
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- 2023
16. The search behavior of terrestrial mammals
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Noonan, M. J., (0000-0003-2765-8147) Martinez Garcia, R., Fleming, C. H., Garcia De Figueiredo, B., Ali, A. H., Attias, N., Belant, J. L., Beyer Jr., D. E., Berteaux, D., Bidner, L. R., Boone, R., Boutin, S., Brito, J., Brown, M., Carter, A., Castellanos, A., Castellanos, F. X., Chitwood, C., Darlington, S., Antonio De La Torre, J., Dekker, J., Deperno, C., Droghini, A., Farhadinia, M., Fennessy, J., Fichtel, C., Ford, A., Gill, R., Goheen, J. R., Gustavo R. Oliveira-Santos, L., Hebblewhite, M., Hodges, K. E., Isbell, L. A., Janssen, R., Kappeler, P., Kays, R., Kaczensky, P., Kauffman, M., Lapoint, S., Alan Lashley, M., Leimgruber, P., Little, A., Macdonald, D. W., Masiaine, S., T. McBride Jr., R., Patricia Medici, E., Mertes, K., Moorman, C., Morato, R. G., Mourão, G., Mueller, T., Neilson, E. W., Pastorini, J., Patterson, B. D., Pereira, J., Petroelje, T. R., Piecora, K., John Power, R., Rachlow, J., Ranglack, D. H., Roshier, D., Safford, K., Scott, D. M., Serrouya, R., Songer, M., Songsasen, N., Stabach, J., Stacy-Dawes, J., Swingen, M. B., Thompson, J., Tucker, M. A., Velilla, M., Yarnell, R. W., Young, J., Fagan, W. F., (0000-0003-0575-6408) Calabrese, J., Noonan, M. J., (0000-0003-2765-8147) Martinez Garcia, R., Fleming, C. H., Garcia De Figueiredo, B., Ali, A. H., Attias, N., Belant, J. L., Beyer Jr., D. E., Berteaux, D., Bidner, L. R., Boone, R., Boutin, S., Brito, J., Brown, M., Carter, A., Castellanos, A., Castellanos, F. X., Chitwood, C., Darlington, S., Antonio De La Torre, J., Dekker, J., Deperno, C., Droghini, A., Farhadinia, M., Fennessy, J., Fichtel, C., Ford, A., Gill, R., Goheen, J. R., Gustavo R. Oliveira-Santos, L., Hebblewhite, M., Hodges, K. E., Isbell, L. A., Janssen, R., Kappeler, P., Kays, R., Kaczensky, P., Kauffman, M., Lapoint, S., Alan Lashley, M., Leimgruber, P., Little, A., Macdonald, D. W., Masiaine, S., T. McBride Jr., R., Patricia Medici, E., Mertes, K., Moorman, C., Morato, R. G., Mourão, G., Mueller, T., Neilson, E. W., Pastorini, J., Patterson, B. D., Pereira, J., Petroelje, T. R., Piecora, K., John Power, R., Rachlow, J., Ranglack, D. H., Roshier, D., Safford, K., Scott, D. M., Serrouya, R., Songer, M., Songsasen, N., Stabach, J., Stacy-Dawes, J., Swingen, M. B., Thompson, J., Tucker, M. A., Velilla, M., Yarnell, R. W., Young, J., Fagan, W. F., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
Animals moving through landscapes need to strike a balance between finding sufficient resources to grow and reproduce while minimizing encounters with predators 1,2. Because encounter rates are determined by the average distance over which directed motion persists 1,3–5, this trade-off should be apparent in individuals’ movement. Using GPS data from 1,396 individuals across 62 species of terrestrial mammals, we show how predators maintained directed motion ~7 times longer than for similarly-sized prey, revealing how prey species must trade off search efficiency against predator encounter rates. Individual search strategies were also modulated by resource abundance, with prey species forced to risk higher predator encounter rates when resources were scarce. These findings highlight the interplay between encounter rates and resource availability in shaping broad patterns mammalian movement strategies.
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- 2023
17. Intraspecific encounters can induce home-range shifts
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Fagan, W. F., Garani Krishnan, A., Liao, Q., Fleming, C. H., Liao, D. F., Lamb, C., Patterson, B., Wheeldon, T., (0000-0003-2765-8147) Martinez Garcia, R., (0000-0003-2224-9758) Saraiva De Menezes, J. F., Noonan, M. J., Gurarie, E., (0000-0003-0575-6408) Calabrese, J., Fagan, W. F., Garani Krishnan, A., Liao, Q., Fleming, C. H., Liao, D. F., Lamb, C., Patterson, B., Wheeldon, T., (0000-0003-2765-8147) Martinez Garcia, R., (0000-0003-2224-9758) Saraiva De Menezes, J. F., Noonan, M. J., Gurarie, E., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
Direct encounters, in which two or more individuals are physically close to one another, are a topic of increasing interest as more and better movement data become available. Recent progress, including the development of statistical tools for estimating robust measures of changes in animals’ space use over time, facilitates opportunities to link direct encounters between individuals with the long-term consequences of those encounters. Working with movement data for coyotes (Canis latrans) and grizzly bears (Ursus arctos horribilis), we investigate whether close intraspecific encounters were associated with spatial shifts in the animals’ range distributions, as might be expected if one or both of the individuals involved in an encounter were seeking to reduce or avoid conflict over space. We analyze the movement data of a pair of coyotes in detail, identifying how a shift in home range location resulting from altered movement behavior was apparently a consequence of a close intraspecific encounter. With grizzly bear 50 movement data, we approach the problem from the perspective of a set of encounter pairs within a population. We find support for the hypotheses that 1) close intraspecific encounters between bears are, on average, associated with subsequent shifts in range distributions and 2) encounters defined at finer spatial scales are followed by greater changes in space use. Our results suggest that animals can undertake long-term, large-scale spatial shifts in response to close intraspecific encounters that have the potential for conflict. These results lend support for existing theory on the evolution of territories and space use (e.g., Maynard-Smith’s bourgeois strategy regarding low-conflict coexistence). Overall, we find that analyses of movement data in a pairwise context can 1) identify distances at which individuals’ proximity to one another may alter behavior and 2) facilitate testing of population-level hypotheses concerning the potential for direct enc
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- 2023
18. Introducing Relative Encounter Rates: a scale-invariant home range measure of animal interaction
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(0000-0003-2224-9758) Saraiva De Menezes, J. F., Fleming, C. H., (0000-0003-2765-8147) Martinez Garcia, R., Belant, J. L., Medici, E. P., Morato, R. G., (0000-0003-0575-6408) Calabrese, J., (0000-0003-2224-9758) Saraiva De Menezes, J. F., Fleming, C. H., (0000-0003-2765-8147) Martinez Garcia, R., Belant, J. L., Medici, E. P., Morato, R. G., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
Animal encounters are key components of population dynamics, community dynamics, and evolutionary processes. Consequently, measuring encounter rates (i.e. encounters per time) can be insightful. Encounter rates can be measured from animal tracking data, using metrics that can be split into two groups. The first group consists of trajectory-based metrics, i.e. measures based on serial records of animal locations. This first group includes PROX, the number of observed per number of samples. The second group, in contrast, consists of metrics based on home range overlap, including the Bhattacharyya coefficient (BC). In this study, we argue both types of metrics are limited. Trajectory-based metrics are direct measures of encounter rates but have statistical estimation issues due to their dependency on the frequency of location sampling. Meanwhile, home-rangebased metrics are statistically sound but are not proportional to encounter rates. To overcome both challenges, we proposed a new metric, Relative Encounter Rate (RER). RER increases linearly with the number of encounters and does not depend on the frequency of sampling (i.e. it is scale-invariant). In an individual-based simulation, we measured how RER, BC, and PROX relative error under different sample sizes and sampling frequencies. Further, we compared these metrics in three empirical case studies. We tested Jaguars for polygyny, deforestation effects on tapir connectivity, and an extension of the dearest enemy hypothesis with brown bears. We also compared partner hierarchy according to BC and RER in Jaguar mating clusters. In the simulation study, we found PROX overestimates the encounter rate when data has a low sampling frequency. The simulation also indicates BC overestimated encounters. Furthermore, PROX led to false positives in the Tapir and Bear case studies. In addition, PROX was incapable of detecting many individual relationships in the jaguar polygyny study. RER does not depend on sampling frequency (
- Published
- 2023
19. Optimizing animal movement studies: developing an application to evaluate study design
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(0000-0003-4850-6193) Simoes Silva, I. M., Fleming, C. H., Noonan, M. J., Fagan, W. F., (0000-0003-0575-6408) Calabrese, J., (0000-0003-4850-6193) Simoes Silva, I. M., Fleming, C. H., Noonan, M. J., Fagan, W. F., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
The study of movement behavior and home range in animals is fundamental to understanding ecological dynamics, yet designing efficient tracking studies remains a challenge due to the lack of clear guidelines. To address this knowledge gap we created 'movedesign,' a user-friendly application that enables researchers to evaluate the precision of three commonly reported movement and spatial ecology estimates: home range area, speed, and distance traveled. Leveraging the 'ctmm' R package, our application employs autocorrelated kernel density estimators (AKDEs) and continuous-time speed and distance (CTSD) estimators, effectively addressing biases inherent in animal movement datasets. By evaluating the interplay between data resolution and battery life, 'movedesign' guides researchers in making informed decisions to achieve reliable estimates of home range and velocity while considering trade-offs. With broad applications for researchers and decision-makers, this tool empowers efficient deployment strategies, optimizing sampling design for insightful and robust outcomes in movement ecology studies.
- Published
- 2023
20. movedesign: Study design of movement ecology studies
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(0000-0003-4850-6193) Simoes Silva, I. M., Fleming, C. H., Noonan, M. J., Fagan, W. F., (0000-0003-0575-6408) Calabrese, J., (0000-0003-4850-6193) Simoes Silva, I. M., Fleming, C. H., Noonan, M. J., Fagan, W. F., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
A Shiny R application that aims to assist researchers in designing animal tracking projects related to two main research questions: the estimation of home range and of speed and distance traveled. The application makes use of simulations to assess the degree of estimate precision that may be achieved with a given sampling design; that is, the choices regarding data resolution (sampling interval) and battery life (sampling duration).
- Published
- 2023
21. Rigorous home range estimation with movement data: a new autocorrelated kernel density estimator
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Fleming, C. H., Fagan, W. F., Mueller, T., Olson, K. A., Leimgruber, P., and Calabrese, J. M.
- Published
- 2015
22. New analytical tools for studying habitat selection in terrestrial mammals
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(0000-0001-5309-7625) Alston, J., Fleming, C. H., Calabrese, J., (0000-0001-5309-7625) Alston, J., Fleming, C. H., and Calabrese, J.
- Abstract
The study of habitat selection is a foundational component of basic and applied animal ecology. Today, habitat selection in mammals is primarily studied using resource selection functions, a class of models that uses logistic regression to compare “used” to “available” habitat. However, these models have several statistical problems, including rampant pseudoreplication from failing to account for autocorrelation in modern animal movement data, no clear guidelines for sampling available habitat, and large amounts of numerical error from sampling too few available points. These problems are widely acknowledged but have no generally accepted solutions, so we propose three new methods for addressing them: likelihood weighting, Gaussian availability sampling, and numerical convergence checks. We demonstrate the practical advantages of these methods over conventional approaches using simulations and empirical data on a water mongoose (Atilax paludinosus), a caracal (Caracal caracal), and a serval (Leptailurus serval), and briefly demonstrate how to apply our methods to animal tracking data using the ‘ctmm’ R package. Broad uptake of these methods could substantially improve our estimates of habitat selection in mammals.
- Published
- 2022
23. Autocorrelation-informed home range estimation: a review and practical guide
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(0000-0003-4850-6193) Simoes Silva, I. M., (0000-0002-9356-6518) Fleming, C. H., (0000-0003-4512-0535) Noonan, M. J., (0000-0001-5309-7625) Alston, J., Folta, C., (0000-0003-2433-9052) Fagan, W. F., (0000-0003-0575-6408) Calabrese, J., (0000-0003-4850-6193) Simoes Silva, I. M., (0000-0002-9356-6518) Fleming, C. H., (0000-0003-4512-0535) Noonan, M. J., (0000-0001-5309-7625) Alston, J., Folta, C., (0000-0003-2433-9052) Fagan, W. F., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
1. Modern tracking devices allow for the collection of high-volume animal tracking data at improved sampling rates over VHF radiotelemetry. Home range estimation is a key output from these tracking datasets, but the inherent properties of animal movement can lead traditional statistical methods to under- or overestimate home range areas. 2. The Autocorrelated Kernel Density Estimation (AKDE) family of estimators were designed to be statistically efficient while explicitly dealing with the complexities of modern movement data: autocorrelation, small sample sizes, and missing or irregularly sampled data. Although each of these estimators has been described in separate technical papers, here we review how these estimators work and provide a user-friendly guide on how they may be combined to reduce multiple biases simultaneously. 3. We describe the magnitude of the improvements offered by these estimators and their impact on home range area estimates, using both empirical case studies and simulations, contrasting their computational costs. 4. Finally, we provide guidelines for researchers to choose among alternative estimators and an R script to facilitate the application and interpretation of AKDE home range estimates.
- Published
- 2022
24. Data and code for: Mitigating pseudoreplication and bias in resource selection functions with autocorrelation-informed weighting
- Author
-
(0000-0001-5309-7625) Alston, J. M., Fleming, C. H., Kays, R., Streicher, J. P., Downs, C. T., Ramesh, T., Reineking, B., (0000-0003-0575-6408) Calabrese, J., (0000-0001-5309-7625) Alston, J. M., Fleming, C. H., Kays, R., Streicher, J. P., Downs, C. T., Ramesh, T., Reineking, B., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
Data and code that can be used to reproduce the analyses underlying 'Mitigating pseudoreplication and bias in resource selection functions with autocorrelation-informed weighting' by Alston, Fleming, et al. (Preprint: https://doi.org/10.1101/2022.04.21.489059) For more detailed information, please visit the README file.
- Published
- 2022
25. Additional file 2 of Movement ecology of vulnerable lowland tapirs between areas of varying human disturbance
- Author
-
Medici, E. P., Mezzini, S., Fleming, C. H., Calabrese, J. M., and Noonan, M. J.
- Subjects
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING - Abstract
Additional file 2: Details on the R scripts used to generate the results presented in the main text.
- Published
- 2022
- Full Text
- View/download PDF
26. New analytical tools for studying habitat selection in terrestrial mammals
- Author
-
Alston, J., Fleming, C. H., and Calabrese, J.
- Abstract
The study of habitat selection is a foundational component of basic and applied animal ecology. Today, habitat selection in mammals is primarily studied using resource selection functions, a class of models that uses logistic regression to compare “used” to “available” habitat. However, these models have several statistical problems, including rampant pseudoreplication from failing to account for autocorrelation in modern animal movement data, no clear guidelines for sampling available habitat, and large amounts of numerical error from sampling too few available points. These problems are widely acknowledged but have no generally accepted solutions, so we propose three new methods for addressing them: likelihood weighting, Gaussian availability sampling, and numerical convergence checks. We demonstrate the practical advantages of these methods over conventional approaches using simulations and empirical data on a water mongoose (Atilax paludinosus), a caracal (Caracal caracal), and a serval (Leptailurus serval), and briefly demonstrate how to apply our methods to animal tracking data using the ‘ctmm’ R package. Broad uptake of these methods could substantially improve our estimates of habitat selection in mammals.
- Published
- 2022
27. Data and code for: Mitigating pseudoreplication and bias in resource selection functions with autocorrelation-informed weighting
- Author
-
Alston, J. M., Fleming, C. H., Kays, R., Streicher, J. P., Downs, C. T., Ramesh, T., Reineking, B., and Calabrese, J.
- Abstract
Data and code that can be used to reproduce the analyses underlying 'Mitigating pseudoreplication and bias in resource selection functions with autocorrelation-informed weighting' by Alston, Fleming, et al. (Preprint: https://doi.org/10.1101/2022.04.21.489059) For more detailed information, please visit the README file.
- Published
- 2022
- Full Text
- View/download PDF
28. ctmmweb: A graphical user interface for autocorrelation-informed home range estimation
- Author
-
Calabrese, J., Fleming, C. H., Noonan, M. J., and Dong, X.
- Subjects
AKDE ,tracking data ,autocorrelation ,telemetry ,ctmm ,animal movement - Abstract
Estimating animal home ranges is a primary purpose of collecting tracking data. Many widely used home range estimators, including conventional kernel density estimators, assume independently sampled data. In stark contrast, modern GPS animal tracking datasets are almost always strongly autocorrelated. The incongruence between estimator assumptions and empirical reality often leads to systematically underestimated home ranges. Autocorrelated kernel density estimation (AKDE) directly models the observed autocorrelation structure of tracking data during home range estimation, and has been shown to perform accurately across a broad range of tracking datasets. However, compared to conventional estimators, AKDE requires additional modeling steps and has heretofore only been accessible via the command-line ctmm R package. Here, we introduce ctmmweb, which provides a point-and-click graphical interface to ctmm and streamlines AKDE, its prerequisite autocorrelation modeling steps, and a number of additional movement analyses. We demonstrate ctmmweb’s capabilities, including AKDE home range estimation and subsequent home range overlap analysis, on a dataset of four jaguars from the Brazilian Pantanal. We intend ctmmweb to open AKDE and related autocorrelation-explicit analyses to a wider audience of wildlife and conservation professionals.
- Published
- 2021
29. Autocorrelation-informed home range estimation: a review and practical guide
- Author
-
Simoes Silva, I. M., Fleming, C. H., Noonan, M. J., Alston, J., Folta, C., Fagan, W. F., and Calabrese, J.
- Subjects
AKDE ,tracking data ,movement process ,telemetry ,autocorrelation ,home range ,ctmm ,kernel density estimation ,ecology - Abstract
1. Modern tracking devices allow for the collection of high-volume animal tracking data at improved sampling rates over VHF radiotelemetry. Home range estimation is a key output from these tracking datasets, but the inherent properties of animal movement can lead traditional statistical methods to under- or overestimate home range areas. 2. The Autocorrelated Kernel Density Estimation (AKDE) family of estimators were designed to be statistically efficient while explicitly dealing with the complexities of modern movement data: autocorrelation, small sample sizes, and missing or irregularly sampled data. Although each of these estimators has been described in separate technical papers, here we review how these estimators work and provide a user-friendly guide on how they may be combined to reduce multiple biases simultaneously. 3. We describe the magnitude of the improvements offered by these estimators and their impact on home range area estimates, using both empirical case studies and simulations, contrasting their computational costs. 4. Finally, we provide guidelines for researchers to choose among alternative estimators and an R script to facilitate the application and interpretation of AKDE home range estimates.
- Published
- 2021
30. Population-level inference for home-range areas
- Author
-
Fleming, C. H., primary, Deznabi, I., additional, Alavi, S., additional, Crofoot, M. C., additional, Hirsch, B. T., additional, Medici, E. P., additional, Noonan, M. J., additional, Kays, R., additional, Fagan, W. F., additional, Sheldon, D., additional, and Calabrese, J. M., additional
- Published
- 2021
- Full Text
- View/download PDF
31. Autocorrelation-informed home range estimation: a review and practical guide
- Author
-
(0000-0003-4850-6193) Simoes Silva, I. M., (0000-0002-9356-6518) Fleming, C. H., (0000-0003-4512-0535) Noonan, M. J., (0000-0001-5309-7625) Alston, J., Folta, C., (0000-0003-2433-9052) Fagan, W. F., (0000-0003-0575-6408) Calabrese, J., (0000-0003-4850-6193) Simoes Silva, I. M., (0000-0002-9356-6518) Fleming, C. H., (0000-0003-4512-0535) Noonan, M. J., (0000-0001-5309-7625) Alston, J., Folta, C., (0000-0003-2433-9052) Fagan, W. F., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
1. Modern tracking devices allow for the collection of high-volume animal tracking data at improved sampling rates over VHF radiotelemetry. Home range estimation is a key output from these tracking datasets, but the inherent properties of animal movement can lead traditional statistical methods to under- or overestimate home range areas. 2. The Autocorrelated Kernel Density Estimation (AKDE) family of estimators were designed to be statistically efficient while explicitly dealing with the complexities of modern movement data: autocorrelation, small sample sizes, and missing or irregularly sampled data. Although each of these estimators has been described in separate technical papers, here we review how these estimators work and provide a user-friendly guide on how they may be combined to reduce multiple biases simultaneously. 3. We describe the magnitude of the improvements offered by these estimators and their impact on home range area estimates, using both empirical case studies and simulations, contrasting their computational costs. 4. Finally, we provide guidelines for researchers to choose among alternative estimators and an R script to facilitate the application and interpretation of AKDE home range estimates.
- Published
- 2021
32. ctmmweb: A graphical user interface for autocorrelation-informed home range estimation
- Author
-
(0000-0003-0575-6408) Calabrese, J., Fleming, C. H., Noonan, M. J., Dong, X., (0000-0003-0575-6408) Calabrese, J., Fleming, C. H., Noonan, M. J., and Dong, X.
- Abstract
Estimating animal home ranges is a primary purpose of collecting tracking data. Many widely used home range estimators, including conventional kernel density estimators, assume independently sampled data. In stark contrast, modern GPS animal tracking datasets are almost always strongly autocorrelated. The incongruence between estimator assumptions and empirical reality often leads to systematically underestimated home ranges. Autocorrelated kernel density estimation (AKDE) directly models the observed autocorrelation structure of tracking data during home range estimation, and has been shown to perform accurately across a broad range of tracking datasets. However, compared to conventional estimators, AKDE requires additional modeling steps and has heretofore only been accessible via the command-line ctmm R package. Here, we introduce ctmmweb, which provides a point-and-click graphical interface to ctmm and streamlines AKDE, its prerequisite autocorrelation modeling steps, and a number of additional movement analyses. We demonstrate ctmmweb’s capabilities, including AKDE home range estimation and subsequent home range overlap analysis, on a dataset of four jaguars from the Brazilian Pantanal. We intend ctmmweb to open AKDE and related autocorrelation-explicit analyses to a wider audience of wildlife and conservation professionals.
- Published
- 2021
33. A semi-variance approach to visualising phylogenetic autocorrelation
- Author
-
Noonan, M. J., primary, Fagan, W. F., additional, and Fleming, C. H., additional
- Published
- 2021
- Full Text
- View/download PDF
34. A comprehensive framework for handling location error in animal tracking data
- Author
-
Fleming, C. H., primary, Drescher-Lehman, J., additional, Noonan, M. J., additional, Akre, T. S. B., additional, Brown, D. J., additional, Cochrane, M. M., additional, Dejid, N., additional, DeNicola, V., additional, DePerno, C. S., additional, Dunlop, J. N., additional, Gould, N. P., additional, Harrison, A.-L., additional, Hollins, J., additional, Ishii, H., additional, Kaneko, Y., additional, Kays, R., additional, Killen, S. S., additional, Koeck, B., additional, Lambertucci, S. A., additional, LaPoint, S. D., additional, Medici, E. P., additional, Meyburg, B.-U., additional, Miller, T. A., additional, Moen, R. A., additional, Mueller, T., additional, Pfeiffer, T., additional, Pike, K. N., additional, Roulin, A., additional, Safi, K., additional, Séchaud, R., additional, Scharf, A. K., additional, Shephard, J. M., additional, Stabach, J. A., additional, Stein, K., additional, Tonra, C. M., additional, Yamazaki, K., additional, Fagan, W. F., additional, and Calabrese, J. M., additional
- Published
- 2020
- Full Text
- View/download PDF
35. How range residency and long-range perception change encounter rates
- Author
-
(0000-0003-2765-8147) Martinez-Garcia, R., (0000-0002-9356-6518) Fleming, C. H., Seppelt, R., (0000-0003-2433-9052) Fagan, W. F., (0000-0003-0575-6408) Calabrese, J., (0000-0003-2765-8147) Martinez-Garcia, R., (0000-0002-9356-6518) Fleming, C. H., Seppelt, R., (0000-0003-2433-9052) Fagan, W. F., and (0000-0003-0575-6408) Calabrese, J.
- Abstract
Encounter rates link movement strategies to intra- and inter-specific interactions, and therefore translate individual movement behavior into higher-level ecological processes. Indeed, a large body of interacting population theory rests on the law of mass action, which can be derived from assumptions of Brownian motion in an enclosed container with exclusively local perception. These assumptions imply completely uniform space use, individual home ranges equivalent to the population range, and encounter dependent on movement paths actually crossing. Mounting empirical evidence, however, suggests that animals use space non-uniformly, occupy home ranges substantially smaller than the population range, and are of- ten capable of nonlocal perception. Here, we explore how these empirically supported behaviors change pairwise encounter rates. Specifically, we derive novel analytical expressions for encounter rates under Ornstein-Uhlenbeck motion, which features non-uniform space use and allows individual home ranges to differ from the population range. We compare OU-based encounter predictions to those of Reflected Brownian Motion, from which the law of mass action can be derived. For both models, we further explore how the interplay between the scale of perception and home-range size affects encounter rates. We find that neglecting realistic movement and perceptual behaviors can lead to systematic, non-negligible biases in encounter-rate predictions.
- Published
- 2020
36. Moving in the Anthropocene: Global reductions in terrestrial mammalian movements
- Author
-
Tucker, M A, Bohning-Gaese, K, Fagan, W F, Fryxell, J M, Van Moorter, B, Alberts, S C, Ali, A H, Allen, A M, Attias, N, Avgar, T, Bartlam-Brooks, H L A, Bayarbaatar, B, Belant, J L, Bertassoni, A, Beyer, D, Bidner, L, Van Beest, F M, Blake, S, Blaum, N, Bracis, C, Brown, D, De Bruyn, P J N, Cagnacci, F, Calabrese, J M, Camilo-Alves, C, Chamaille-Jammes, S, Chiaradia, A, Davidson, S C, Dennis, T, DeStefano, S, Diefenbach, D, Douglas-Hamilton, I, Fennessy, J, Fichtel, C F, Fiedler, W, Fischer, C, Fischhoff, I, Fleming, C H, Ford, A T, Fritz, S A, Gehr, B, Goheen, J R, Gurarie, E, Hebblewhite, M, Heurich, M, Hewison, A J M, Hof, C, Hurme, E, Isbell, L A, Janssen, R, Jeltsch, F, Kaczensky, P, Kane, A, Kappeler, P M, and Kauffman, M
- Published
- 2018
37. Correcting for missing and irregular data in home‐range estimation
- Author
-
Fleming, C. H., primary, Sheldon, D., additional, Fagan, W. F., additional, Leimgruber, P., additional, Mueller, T., additional, Nandintsetseg, D., additional, Noonan, M. J., additional, Olson, K. A., additional, Setyawan, E., additional, Sianipar, A., additional, and Calabrese, J. M., additional
- Published
- 2018
- Full Text
- View/download PDF
38. Estimating where and how animals travel: An optimal framework for path reconstruction from autocorrelated tracking data
- Author
-
Fleming, C. H., primary, Fagan, W. F., additional, Mueller, T., additional, Olson, K. A., additional, Leimgruber, P., additional, and Calabrese, J. M., additional
- Published
- 2015
- Full Text
- View/download PDF
39. Nonequilibrium fluctuation-dissipation inequality and nonequilibrium uncertainty principle
- Author
-
Fleming, C. H., primary, Hu, B. L., additional, and Roura, Albert, additional
- Published
- 2013
- Full Text
- View/download PDF
40. Equilibrium states of open quantum systems in the strong coupling regime
- Author
-
Subaşı, Y., primary, Fleming, C. H., additional, Taylor, J. M., additional, and Hu, B. L., additional
- Published
- 2012
- Full Text
- View/download PDF
41. Nonequilibrium dynamics of charged particles in a quantized electromagnetic field: causal, stable and self-consistent dynamics from 1/cexpansion
- Author
-
Fleming, C H, primary, Johnson, P R, additional, and Hu, B L, additional
- Published
- 2012
- Full Text
- View/download PDF
42. Non-Markovian dynamics and entanglement of two-level atoms in a common field
- Author
-
Fleming, C H, primary, Cummings, N I, additional, Anastopoulos, Charis, additional, and Hu, B L, additional
- Published
- 2012
- Full Text
- View/download PDF
43. Initial-state preparation with dynamically generated system-environment correlations
- Author
-
Fleming, C. H., primary, Roura, Albert, additional, and Hu, B. L., additional
- Published
- 2011
- Full Text
- View/download PDF
44. Accuracy of perturbative master equations
- Author
-
Fleming, C. H., primary and Cummings, N. I., additional
- Published
- 2011
- Full Text
- View/download PDF
45. Integrated Dynamic Reservoir Modeling for Multilayered Tight Gas Sand Development
- Author
-
Diomampo, G. P., additional, Roach, H.., additional, Chapin, M.., additional, Ugueto, G. A., additional, Brandon, N.., additional, and Fleming, C. H., additional
- Published
- 2010
- Full Text
- View/download PDF
46. Electron capture by protons and electron loss from hydrogen atoms in collisions with hydrocarbon and hydrogen molecules in the 60–120 keV energy range
- Author
-
Sanders, J M, primary, Varghese, S L, additional, Fleming, C H, additional, and Soosai, G A, additional
- Published
- 2003
- Full Text
- View/download PDF
47. Determination of Original Gas in Place in Ballycotton, Offshore Ireland
- Author
-
Chu, Wei-Chun, primary, Fleming, C. H., additional, and Carroll, K. M., additional
- Published
- 2001
- Full Text
- View/download PDF
48. Electron capture and loss cross sections for neutral projectiles colliding with atoms and molecules.
- Author
-
Sanders, J. M., Varghese, S. L., and Fleming, C. H.
- Subjects
ELECTRON capture ,NUCLEAR cross sections ,COLLISIONS (Nuclear physics) - Abstract
Collisions of neutral projectiles with atoms and molecules arise in a number of situations: in the magnetosphere of the earth, in heating or diagnostics of fusion plasma, in neutral-beam injection into accelerators, and when ion beams come to a stop in solids. Scaling relations for capture cross sections will be presented for collisions involving He targets. Recent results for electron loss in collisions of neutrals with hydrocarbon molecules will also be discussed. It is found that the additivity rule holds for these molecular targets. [ABSTRACT FROM AUTHOR]
- Published
- 2001
49. Determination of Original Gas in Place in Ballycotton, Offshore Ireland
- Author
-
Chu, Wei-Chun, additional, Fleming, C. H., additional, and Carroll, K. M., additional
- Published
- 2000
- Full Text
- View/download PDF
50. Electron capture by protons and electron loss from hydrogen atoms in collisions with hydrocarbon and hydrogen molecules in the 60120 keV energy range.
- Author
-
Sanders, J. M., Varghese, S. L., Fleming, C. H., and Soosai, G. A.
- Published
- 2003
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