33 results on '"Mir Mehedi Faruk"'
Search Results
2. Accelerated paths and Unruh effect. Part I. Scalars and fermions in Anti De Sitter spacetime
- Author
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Shahnewaz Ahmed and Mir Mehedi Faruk
- Subjects
Classical Theories of Gravity ,Thermal Field Theory ,Nuclear and particle physics. Atomic energy. Radioactivity ,QC770-798 - Abstract
Abstract We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for the scalar field has been obtained with different levels of non-linearity in even dimensional AdS spacetime. We also showed how the response of the accelerated Unruh detector coupled quadratically to massless Dirac field in D dimensional (D ≥ 2) AdS spacetime is proportional to that of a detector linearly coupled to a massless scalar field in 2D dimensional AdS spacetime. Here, the fermionic and scalar matter field is coupled minimally and conformally to the background AdS metric, respectively. Finally, we discuss about the extension of the results for more general stationary motion.
- Published
- 2021
- Full Text
- View/download PDF
3. How a four-dimensional de Sitter solution remains outside the swampland
- Author
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Keshav Dasgupta, Maxim Emelin, Mir Mehedi Faruk, and Radu Tatar
- Subjects
Flux compactifications ,M-Theory ,String Duality ,Nuclear and particle physics. Atomic energy. Radioactivity ,QC770-798 - Abstract
Abstract We argue that, in the presence of time-dependent fluxes and quantum corrections, four-dimensional de Sitter solutions should appear in the type IIB string landscape and not in the swampland. Our construction considers generic choices of local and non-local quantum terms and satisfies the no-go and the swampland criteria, the latter being recently upgraded using the trans-Planckian cosmic censorship. Interestingly, both time-independent Newton constant and moduli stabilization may be achieved in such backgrounds even in the presence of time-dependent fluxes and internal spaces. However, once the time-dependence is switched off, any four-dimensional solution with de Sitter isometries appears to have no simple effective field theory descriptions and is back in the swampland.
- Published
- 2021
- Full Text
- View/download PDF
4. de Sitter vacua in the string landscape
- Author
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Keshav Dasgupta, Maxim Emelin, Mir Mehedi Faruk, and Radu Tatar
- Subjects
Nuclear and particle physics. Atomic energy. Radioactivity ,QC770-798 - Abstract
The late-time behavior of our universe is one of accelerated expansion, or that of a de Sitter space, and therefore motivates us to look for time-dependent backgrounds. Finding such backgrounds in string theory has always been a challenging problem. An even harder problem is to find time-dependent backgrounds that allow positive dark energies. As a first step to handle such scenarios, we study a time-dependent background in type IIB theory, with four-dimensional de Sitter isometries, by uplifting it to M-theory and then realizing it as a coherent, or squeezed-coherent, state over an appropriate solitonic configuration. While classically such a background does not solve the equations of motion, the corresponding Schwinger-Dyson equations reveal that there are deeper issues that may even prohibit a solution to exist at the quantum level, as long as the internal space remains time-independent. A more generic analysis is then called for, where both the effective four-dimensional space-time, the internal space, and the background fluxes are all time-dependent. We study in details such a background by including perturbative and non-perturbative as well as local and non-local quantum terms. Our analysis reveals a distinct possibility of the emergence of a four-dimensional positive curvature space-time with de Sitter isometries and time-independent Newton's constant in the landscape of type IIB string theory. We argue how the no-go and the swampland criteria are avoided in generating such a background, and compare it with other possibilities involving backgrounds with time-dependent Newton constants. These time-varying Newton constant backgrounds typically lead to unavoidable late time singularities, amongst other issues.
- Published
- 2021
- Full Text
- View/download PDF
5. Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation
- Author
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Shovon Biswas and Mir Mehedi Faruk
- Subjects
Physics ,QC1-999 - Abstract
Planck scale inspired theories which are also often accompanied with maximum energy and/or momentum scale predict deformed dispersion relations compared to ordinary special relativity and quantum mechanics. In this paper, we resort to the methods of statistical mechanics in order to determine the effects of a deformed dispersion relation along with an upper bound in the partition function that maximum energy and/or momentum scale can have on the thermodynamics of photon gas. We also analyzed two distinct quantum gravity models in this paper.
- Published
- 2018
- Full Text
- View/download PDF
6. On Boundedness of Entropy of Photon Gas in Noncommutative Spacetime
- Author
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Kazi Ashraful Alam and Mir Mehedi Faruk
- Subjects
Physics ,QC1-999 - Abstract
Entropy bound for the photon gas in a noncommutative (NC) spacetime where phase space is with compact spatial momentum space, previously studied by Nozari et al., has been reexamined with the correct distribution function. While Nozari et al. have employed Maxwell-Boltzmann distribution function to investigate thermodynamic properties of photon gas, we have employed the correct distribution function, that is, Bose-Einstein distribution function. No such entropy bound is observed if Bose-Einstein distribution is employed to solve the partition function. As a result, the reported analogy between thermodynamics of photon gas in such NC spacetime and Bekenstein-Hawking entropy of black holes should be disregarded.
- Published
- 2017
- Full Text
- View/download PDF
7. de Sitter Space as a Glauber-Sudarshan State: II
- Author
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Radu Tatar, Heliudson Bernardo, Suddhasattwa Brahma, Keshav Dasgupta, and Mir-Mehedi Faruk
- Subjects
Physics ,High Energy Physics - Theory ,010308 nuclear & particles physics ,De Sitter space ,FOS: Physical sciences ,General Physics and Astronomy ,General Relativity and Quantum Cosmology (gr-qc) ,State (functional analysis) ,String theory ,01 natural sciences ,General Relativity and Quantum Cosmology ,High Energy Physics - Theory (hep-th) ,De Sitter universe ,0103 physical sciences ,010306 general physics ,Glauber ,Mathematical physics - Abstract
We provide further evidence to support the fact that a four-dimensional effective field theory description with de Sitter isometries in IIB string theory, overcoming the no-go and the swampland criteria, can only exist if de Sitter space is realized as a Glauber-Sudarshan state. We show here that this result is independent of the choice of de Sitter slicings. The Glauber-Sudarshan state, constructed by shifting the interacting vacuum in the M-theory uplift of the scenario, differs from a standard coherent state in QFT in the sense that the shape and size of the state changes with respect to time, implying changes in the graviton and the flux quanta. Despite this, the expectation values of the graviton and flux operators in such a state reproduce the exact de Sitter background, as long as we are within the temporal bound set by the onset of the strong coupling in the dual type IIA side, and satisfy the corresponding Schwinger-Dyson's equations in the presence of hierarchically controlled perturbative and non-perturbative quantum corrections. Additionally, we provide a detailed study of the fluxes supporting the Glauber-Sudarshan state in the M-theory uplift of the IIB scenario. We show explicitly how the Bianchi identities, anomaly cancellation and flux quantization conditions, along-with the constraints from the Schwinger-Dyson's equations, conspire together to provide the necessary temporal dependences to support such a state in full M-theory. We also discuss how our analysis points towards a surprising connection to the four-dimensional null energy condition, for a Friedman-Lemaitre-Robertson-Walker state in the IIB side, as a consistency condition for the existence of an effective field theory description in M-theory., 188 pages, 33 tables, LaTex; comments welcome. v2: Typos corrected and reference updated; Matches version to appear in "Fortschritte der Physik"
- Published
- 2021
8. How a four-dimensional de Sitter solution remains outside the swampland
- Author
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Mir Mehedi Faruk, Keshav Dasgupta, Maxim Emelin, and Radu Tatar
- Subjects
High Energy Physics - Theory ,Physics ,Nuclear and High Energy Physics ,010308 nuclear & particles physics ,Cosmic censorship hypothesis ,FOS: Physical sciences ,M-Theory ,QC770-798 ,General Relativity and Quantum Cosmology (gr-qc) ,Swampland ,01 natural sciences ,String (physics) ,General Relativity and Quantum Cosmology ,Moduli ,Theoretical physics ,High Energy Physics - Theory (hep-th) ,De Sitter universe ,Flux compactifications ,Nuclear and particle physics. Atomic energy. Radioactivity ,0103 physical sciences ,Effective field theory ,String Duality ,010306 general physics ,Constant (mathematics) ,Quantum - Abstract
We argue that, in the presence of time-dependent fluxes and quantum corrections, four-dimensional de Sitter solutions should appear in the type IIB string landscape and not in the swampland. Our construction considers generic choices of local and non-local quantum terms and satisfies the no-go and the swampland criteria, the latter being recently upgraded using the trans-Planckian cosmic censorship. Interestingly, both time-independent Newton constant and moduli stabilization may be achieved in such backgrounds even in the presence of time-dependent fluxes and internal spaces. However, once the time-dependence is switched off, any four-dimensional solution with de Sitter isometries appears to have no simple effective field theory descriptions and is back in the swampland., 30 pages, 4 figures; v2: Typos corrected and references added; v3: Typos corrected and more references added
- Published
- 2021
9. de Sitter Vacua in the String Landscape: La Petite Version
- Author
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Mir Mehedi Faruk, Radu Tatar, Maxim Emelin, and Keshav Dasgupta
- Subjects
M-theory ,Physics ,Theoretical physics ,De Sitter universe ,Degrees of freedom ,Effective field theory ,Swampland ,String theory ,String (physics) ,Moduli - Abstract
In this review we argue that four-dimensional effective field theory descriptions with de Sitter isometries are allowed in the presence of time-dependent internal degrees of freedom in type IIB string landscape. Both moduli stabilizations and time-independent Newton constants are possible in such backgrounds. However once the time-dependences are switched off, there appear no possibilities of effective field theory descriptions and these backgrounds are in the swampland.
- Published
- 2021
10. Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime
- Author
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Mir Mehedi Faruk and Shahnewaz Ahmed
- Subjects
High Energy Physics - Theory ,Physics ,Nuclear and High Energy Physics ,Field (physics) ,Spacetime ,Computer Science::Information Retrieval ,Scalar (mathematics) ,FOS: Physical sciences ,Fermion ,QC770-798 ,General Relativity and Quantum Cosmology (gr-qc) ,General Relativity and Quantum Cosmology ,Massless particle ,Unruh effect ,High Energy Physics - Theory (hep-th) ,Nuclear and particle physics. Atomic energy. Radioactivity ,Anti-de Sitter space ,Thermal Field Theory ,Scalar field ,Classical Theories of Gravity ,Mathematical physics - Abstract
We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for the scalar field has been obtained with different levels of non-linearity in even dimensional AdS spacetime. We also showed how the response of the accelerated Unruh detector coupled quadratically to massless Dirac field in $D$ dimensional $(D \geq 2)$ AdS spacetime is proportional to that of a detector linearly coupled to a massless scalar field in $2D$ dimensional AdS spacetime. Here, the fermionic and scalar matter field is coupled minimally and conformally to the background AdS metric, respectively. Finally, we discuss about the extension of the results for more general stationary motion., Comment: 35 pages, 6 figures
- Published
- 2020
- Full Text
- View/download PDF
11. On Boundedness of Entropy of Photon Gas in Noncommutative Spacetime
- Author
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Mir Mehedi Faruk and Kazi Alam
- Subjects
Physics ,Nuclear and High Energy Physics ,Article Subject ,Spacetime ,010308 nuclear & particles physics ,Entropy (statistical thermodynamics) ,Photon gas ,Position and momentum space ,01 natural sciences ,Noncommutative geometry ,lcsh:QC1-999 ,General Relativity and Quantum Cosmology ,Distribution function ,Phase space ,Quantum mechanics ,0103 physical sciences ,010306 general physics ,Black hole thermodynamics ,lcsh:Physics - Abstract
Entropy bound for the photon gas in a noncommutative (NC) spacetime where phase space is with compact spatial momentum space, previously studied by Nozari et al., has been reexamined with the correct distribution function. While Nozari et al. have employed Maxwell-Boltzmann distribution function to investigate thermodynamic properties of photon gas, we have employed the correct distribution function, that is, Bose-Einstein distribution function. No such entropy bound is observed if Bose-Einstein distribution is employed to solve the partition function. As a result, the reported analogy between thermodynamics of photon gas in such NC spacetime and Bekenstein-Hawking entropy of black holes should be disregarded.
- Published
- 2017
12. de Sitter Vacua in the String Landscape
- Author
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Radu Tatar, Maxim Emelin, Mir Mehedi Faruk, and Keshav Dasgupta
- Subjects
Physics ,High Energy Physics - Theory ,Nuclear and High Energy Physics ,010308 nuclear & particles physics ,De Sitter space ,media_common.quotation_subject ,Equations of motion ,FOS: Physical sciences ,QC770-798 ,General Relativity and Quantum Cosmology (gr-qc) ,String theory ,01 natural sciences ,String (physics) ,Universe ,General Relativity and Quantum Cosmology ,Theoretical physics ,High Energy Physics - Theory (hep-th) ,De Sitter universe ,Nuclear and particle physics. Atomic energy. Radioactivity ,0103 physical sciences ,Gravitational singularity ,010306 general physics ,Constant (mathematics) ,media_common - Abstract
The late-time behavior of our universe is one of accelerated expansion, or that of a de Sitter space, and therefore motivates us to look for time-dependent backgrounds. Finding such backgrounds in string theory has always been a challenging problem. An even harder problem is to find time-dependent backgrounds that allow positive dark energies. As a first step to handle such scenarios, we study a time-dependent background in type IIB theory, with four-dimensional de Sitter isometries, by uplifting it to M-theory and then realizing it as a coherent, or squeezed-coherent, state over an appropriate solitonic configuration. While classically such a background does not solve the equations of motion, the corresponding Schwinger-Dyson equations reveal that there are deeper issues that may even prohibit a solution to exist at the quantum level, as long as the internal space remains time-independent. A more generic analysis is then called for, where both the effective four-dimensional space-time, the internal space, and the background fluxes are all time-dependent. We study in details such a background by including perturbative and non-perturbative as well as local and non-local quantum terms. Our analysis reveals a distinct possibility of the emergence of a four-dimensional positive curvature space-time with de Sitter isometries and time-independent Newton's constant in the landscape of type IIB string theory. We argue how the no-go and the swampland criteria are avoided in generating such a background, and compare it with other possibilities involving backgrounds with time-dependent Newton constants. These time-varying Newton constant backgrounds typically lead to unavoidable late time singularities, amongst other issues., 188 pages, LaTex, no figures; For the benefit of the reader, a detailed summary of our results appears in section 1.1; Mathematica files for all the Einstein's EOMs may be downloaded from https://www.dropbox.com/sh/hvadxy7jn29cx8l/AACclqm-G-hndl7P0qlRlwsKa?dl=0; v3: Two new sections added, some sections elaborated, typos corrected and references added; v4: Minor corrections, Nucl. Phys B version
- Published
- 2019
13. Virial Coefficients from Unified Statistical Thermodynamics of Quantum Gases Trapped under Generic Power Law Potential in d Dimension and Equivalence of Quantum Gases
- Author
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Mir Mehedi Faruk and Shah Mohammad Bahauddin
- Subjects
Condensed Matter::Quantum Gases ,Physics ,Physics and Astronomy (miscellaneous) ,Quantum gas ,Thermodynamics ,Harmonic potential ,Astrophysics::Cosmology and Extragalactic Astrophysics ,01 natural sciences ,Power law ,010305 fluids & plasmas ,Virial coefficient ,0103 physical sciences ,010306 general physics ,Equivalence (measure theory) ,Astrophysics::Galaxy Astrophysics ,Fermi Gamma-ray Space Telescope - Abstract
From the unified statistical thermodynamics of quantum gases, the virial coefficients of ideal Bose and Fermi gases, trapped under generic power law potential are derived systematically. From the general result of virial coefficients, one can produce the known results in d = 3 and d = 2. But more importantly we found that, the virial coefficients of Bose and Fermi gases become identical (except the second virial coefficient, where the sign is different) when the gases are trapped under harmonic potential in d = 1. This result suggests the equivalence between Bose and Fermi gases established in d = 1 (J. Stat. Phys. DOI 10.1007/s10955-015-1344-4). Also, it is found that the virial coefficients of two-dimensional free Bose (Fermi) gas are equal to the virial coefficients of one-dimensional harmonically trapped Bose (Fermi) gas.
- Published
- 2016
14. Energy Fluctuation of Ideal Fermi Gas Trapped under Generic Power Law Potential $U=\sum_{i=1}^{d} c_i\vert x_{i}/a_{i}\vert^{n_{i} }$ in d Dimensions
- Author
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Md. Sakhawat Hossain Himel, Mir Mehedi Faruk, Dwaipayan Debnath, and Md. Muktadir Rahman
- Subjects
Physics ,Physics and Astronomy (miscellaneous) ,010308 nuclear & particles physics ,Degenerate energy levels ,01 natural sciences ,Power law ,Quantum mechanics ,Quantum electrodynamics ,0103 physical sciences ,Limit (mathematics) ,Ideal (ring theory) ,010306 general physics ,Fermi gas ,Energy (signal processing) ,Sommerfeld expansion ,Curse of dimensionality - Abstract
Energy fluctuation of ideal Fermi gas trapped under generic power law potential has been calculated in arbitrary dimensions. Energy fluctuation is scrutinized further in the degenerate limit μ KBT with the help of Sommerfeld expansion. The dependence of energy fluctuation on dimensionality and power law potential is studied in detail. Most importantly our general result can not only exactly reproduce the recently published result regarding free and harmonically trapped ideal Fermi gas in d = 3 but also can describe the outcome for any power law potential in arbitrary dimension.
- Published
- 2016
15. Duality between the massive sine-Gordon and the massive Schwinger models at finite temperature
- Author
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Mir Mehedi Faruk
- Subjects
Physics ,High Energy Physics - Theory ,010308 nuclear & particles physics ,Complex system ,General Physics and Astronomy ,Duality (optimization) ,FOS: Physical sciences ,01 natural sciences ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,Path integral formulation ,Sine ,010306 general physics ,Mathematical physics - Abstract
The massive Schwinger and the massive sine-Gordon models are proved to be equivalent at finite temperature, using the path-integral framework. The well known relations among the parameters of these models to establish the duality at $T=0$, also remain valid at non zero temperature.
- Published
- 2018
- Full Text
- View/download PDF
16. Repulsive Casimir force in Bose-Einstein Condensate
- Author
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Shovon Biswas and Mir Mehedi Faruk
- Subjects
Statistics and Probability ,Physics ,Condensed Matter::Quantum Gases ,Bose gas ,Statistical Mechanics (cond-mat.stat-mech) ,FOS: Physical sciences ,Statistical and Nonlinear Physics ,Mathematical Physics (math-ph) ,01 natural sciences ,Power law ,010305 fluids & plasmas ,law.invention ,Casimir effect ,Classical mechanics ,law ,0103 physical sciences ,Neumann boundary condition ,Boundary value problem ,Statistics, Probability and Uncertainty ,Exponential decay ,010306 general physics ,Bose–Einstein condensate ,Condensed Matter - Statistical Mechanics ,Mathematical Physics ,Sign (mathematics) - Abstract
We study the Casimir effect for a three dimensional system of ideal free massive Bose gas in a slab geometry with Zaremba and anti-periodic boundary conditions. It is found that for these type of boundary conditions the resulting Casimir force is repulsive in nature, in contrast with usual periodic, Dirichlet or Neumann boundary condition where the Casimir force is attractive (Martin P. A. and Zagrebnov V. A., Europhys. Lett., 73 (2006) 15.). Casimir forces in these boundary conditions also maintain a power law decay function below condensation temperature and exponential decay function above the condensation temperature albeit with a positive sign, identifying the repulsive nature of the force.
- Published
- 2017
17. Unified Statistical Thermodynamics of Quantum Gases Trapped Under Generic Power Law Potential in d Dimension and Their Equivalence in $$d=1$$ d = 1
- Author
-
Mir Mehedi Faruk
- Subjects
Condensed Matter::Quantum Gases ,Physics ,Grand potential ,Polylogarithm ,Dimension (graph theory) ,Statistical and Nonlinear Physics ,Ideal (ring theory) ,Space (mathematics) ,Power law ,Equivalence (measure theory) ,Mathematical Physics ,Fermi Gamma-ray Space Telescope ,Mathematical physics - Abstract
A unified description for the Bose and Fermi gases trapped in an external generic power law potential \(U=\sum _{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}\) is presented using the grandpotential of the system in d dimensional space. The thermodynamic quantities of the quantum gases are derived from the grand potential. An equivalence between the trapped Bose and Fermi gases is constructed from the thermodynamic quantities in one dimension (\(d=1\)) using the Landen relation. It is also found that the established equivalence between the ideal free Bose and Fermi gases in \(d=2\) (Lee in Phys Rev E 55:1518, 1997) is lost when external potential is applied.
- Published
- 2015
18. Noncommutative scalar fields in compact spaces: quantization and implications
- Author
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Arup Barua Apu, Muktadir Rahman, Mishkat Al Alvi, Mir Mehedi Faruk, and Wasif Ahmed
- Subjects
Physics ,High Energy Physics - Theory ,Statistical Mechanics (cond-mat.stat-mech) ,010308 nuclear & particles physics ,FOS: Physical sciences ,General Physics and Astronomy ,General Relativity and Quantum Cosmology (gr-qc) ,Mathematical Physics (math-ph) ,01 natural sciences ,Noncommutative geometry ,General Relativity and Quantum Cosmology ,Quantization (physics) ,High Energy Physics - Phenomenology ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Theory (hep-th) ,0103 physical sciences ,010306 general physics ,Condensed Matter - Statistical Mechanics ,Mathematical Physics ,Mathematical physics - Abstract
In this paper we consider a two component scalar field theory, with noncommutativity in its conjugate momentum space. We quantize such a theory in a compact space with the help of dressing transformations and we reveal a significant effect of introducing such noncommutativity as the splitting of the energy levels of each individual mode that constitutes the whole system. We further compute the thermal partition function exactly with predicted deformed dispersion relations from noncommutative theories and compare the results with usual results. It is found that thermodynamic quantities in noncommutative models, irrespective of whether the model is more deformed in infrared/UV region, show deviation from standard results in high temperature region., 13 pages
- Published
- 2017
19. Investigation of segregation for AlxIn1-x liquid binary alloys
- Author
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Mir Mehedi Faruk and G. M. Bhuiyan
- Subjects
Pseudopotential ,Materials science ,Spinodal decomposition ,Thermodynamics ,Perturbation (astronomy) ,Binary number ,Electrical and Electronic Engineering ,Total energy ,Condensed Matter Physics ,Electronic, Optical and Magnetic Materials ,Electronic theory - Abstract
Segregation of Al x In 1-x liquid binary alloys is systematically investigated from the energetic point of view using the electronic theory of metals. The free energy of mixing is calculated at different thermodynamic states characterized by temperatures for the full range of concentration by using the perturbation approach. The interionic interaction is described by a local pseudopotential. This study enables us to predict the correct miscibility gap as well as critical temperature (T=1160 K) and critical concentration (x=0.5) of segregation for the concerned alloys. These results agree well with available experimental data. Most importantly, results of our calculations have precisely identified for the first time that, the volume dependent term of the energy of mixing is mostly responsible for the total energy of mixing to be positive, which is one of the most significant indicators of segregation of liquid metals in binary alloys.
- Published
- 2013
20. Planck scale effect on the thermodynamics of photon gas
- Author
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Mir Mehedi Faruk and Md. Muktadir Rahman
- Subjects
High Energy Physics - Theory ,Physics ,Photon ,Internal energy ,Spacetime ,010308 nuclear & particles physics ,Lorentz transformation ,Photon gas ,Thermodynamics ,FOS: Physical sciences ,01 natural sciences ,Entropy (classical thermodynamics) ,symbols.namesake ,High Energy Physics - Theory (hep-th) ,Doubly special relativity ,Quantum electrodynamics ,Quantum mechanics ,0103 physical sciences ,symbols ,Quantum gravity ,010306 general physics - Abstract
A particular framework for quantum gravity is the doubly special relativity (DSR) formalism that introduces a new observer independent scale (the Planck scale). We resort to the methods of statistical mechanics in this framework to determine how the deformed dispersion relation affects the thermodynamics of a photon gas. The ensuing modifications to the density of states, partition function, pressure, internal energy, entropy, free energy and specific heat are calculated. These results are compared with the outcome obtained in the Lorentz violating model of Camacho and Marcias (Gen. Relativ. Gravit. 39: 1175-1183, 2007). The two types of models predict different results due to different spacetime structure near the Planck scale. The resulting modifications can be interpreted as a consequence of the deformed Lorentz symmetry present in the particular model we have considered. In the low energy limit, our calculation coincides with usual results of photon thermodynamics in special relativity (SR) theory, in contrast to the study presented in (Phys. Rev. D81, 085039 (2010)).
- Published
- 2016
- Full Text
- View/download PDF
21. Investigation of Bose condensation in ideal Bose gas trapped under generic power law potential in $d$ dimension
- Author
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Mir Mehedi Faruk, Md. Muktadir Rahman, and Md. Sazzad Hossain
- Subjects
Physics ,Condensed Matter::Quantum Gases ,Physics and Astronomy (miscellaneous) ,Hierarchy (mathematics) ,Bose gas ,Condensed Matter::Other ,Condensation ,FOS: Physical sciences ,01 natural sciences ,Power law ,010305 fluids & plasmas ,Condensed Matter - Other Condensed Matter ,Volume (thermodynamics) ,Quantum Gases (cond-mat.quant-gas) ,Quantum mechanics ,0103 physical sciences ,Ideal (order theory) ,010306 general physics ,Constant (mathematics) ,Condensed Matter - Quantum Gases ,Other Condensed Matter (cond-mat.other) ,Curse of dimensionality - Abstract
The changes in characteristics of Bose condensation of ideal Bose gas due to an external generic power law potential $U=\sum_{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}$ are studied carefully. Detailed calculation of Kim $et$ $al.$ (S. H. Kim, C. K. Kim and K. Nahm, J Phys. Condens. Matter 11 10269 (1999).) yielded the hierarchy of condensation transitions with changing fractional dimensionality. In this manuscript, some theorems regarding specific heat at constant volume $C_V$ are presented. Careful examination of these theorems reveal the existence of hidden hierarchy of the condensation transition in trapped systems as well.
- Published
- 2015
22. Thermodynamics of ideal Fermi gas under generic power law potential in $d$-dimension
- Author
-
G. M. Bhuiyan and Mir Mehedi Faruk
- Subjects
Physics ,Theoretical physics ,Ideal (set theory) ,Quantum Gases (cond-mat.quant-gas) ,FOS: Physical sciences ,General Physics and Astronomy ,Fermi gas ,Condensed Matter - Quantum Gases ,Power law - Abstract
Thermodynamics of ideal Fermi gas trapped in an external generic power law potential $U=\sum_{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}$ are investigated systematically from the grand thermodynamic potential in $d$ dimensional space. These properties are explored deeply in the degenerate limit ($��>> K_BT$), where the thermodynamic properties are greatly dominated by Pauli exclusion principle. Pressure and energy along with the isothermal compressibilty is non zero at $T=0K$, denoting trapped Fermi system is quite live even at absolute zero temperature. The nonzero value of compressibilty denotes zero point pressure is not just a constant but depends on volume., arXiv admin note: text overlap with arXiv:1502.07054
- Published
- 2015
23. Thermodynamics of ideal Bose gas under generic power law potential in $d$-dimension
- Author
-
Mir Mehedi Faruk
- Subjects
Physics ,Condensed Matter::Quantum Gases ,Ideal (set theory) ,Bose gas ,Condensed Matter::Other ,Gas laws ,General Physics and Astronomy ,Thermodynamics ,FOS: Physical sciences ,Power law ,Heat capacity ,Ideal gas ,Thermodynamic potential ,Volume (thermodynamics) ,Quantum Gases (cond-mat.quant-gas) ,Statistical physics ,Condensed Matter - Quantum Gases - Abstract
Thermodynamic properties of ideal Bose gas trapped in an external generic power law potential are investigated systematically from the grand thermodynamic potential in $d$ dimensional space. The most general conditions for Bose-Einstein condensate and the discontinuous conditions of heat capacity at the critical temperature in presence of generic power law potential are presented in this manuscript. The dependence of the physical quantities on external potential, particle characteristics and space dimensionality are discussed. The more general results obtained in this paper presents an unified illustration of Bose-Einstein condensation of ideal Bose systems as they reduces to the expressions and conclusions available in the literature with appropiate choice of power law exponent.
- Published
- 2015
- Full Text
- View/download PDF
24. Study of microscopic origin of segregation for Fe(x)Cu(1-x) and Cu(x)Co(1-x) liquid binary alloys
- Author
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Mir Mehedi Faruk, Md. Sazzad Hossain, G. M. Bhuiyan, and Amitabh Biswas
- Subjects
Metallic alloy ,Work (thermodynamics) ,Materials science ,Volume (thermodynamics) ,Metallurgy ,Iron alloys ,General Physics and Astronomy ,Thermodynamics ,Binary number ,Physical and Theoretical Chemistry ,Mixing (physics) ,Electronic theory - Abstract
The segregating properties for FexCu1-x and CuxCo1-x liquid-liquid binary alloys are investigated theoretically. Here, the free energy of mixing is calculated by using the electronic theory of metals within the framework of the perturbative approach. The calculated results such as the critical temperature and the critical concentration agree well with the available experimental data. Most importantly, the present work confirms our previous finding [M. Mehedi Faruk and G. M. Bhuiyan, Physica B 422, 56 (2013)] that the volume dependent part of the energy of mixing is mostly responsible for segregation of metallic alloys.
- Published
- 2014
25. A proof of the Biswas–Mitra–Bhattacharyya conjecture for the ideal quantum gas trapped under the generic power law potential $U=\sum\nolimits_{i=1}^{d}{{c}_{i}}\left\vert \frac{{{x}_{i}}}{{{a}_{i}}}\right\vert^{{{n}_{i}}}$ inddimensions
- Author
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Muktadir Rahman and Mir Mehedi Faruk
- Subjects
Statistics and Probability ,Physics ,Ideal (set theory) ,Conjecture ,Degenerate energy levels ,Statistical and Nonlinear Physics ,01 natural sciences ,Power law ,Classical limit ,010305 fluids & plasmas ,Connection (mathematics) ,Discontinuity (linguistics) ,0103 physical sciences ,Statistics, Probability and Uncertainty ,010306 general physics ,Quantum ,Mathematical physics - Abstract
The well known relation for the ideal classical gas , which does not remain valid for quantum systems, is revisited. A new connection is established between the energy fluctuation and specific heat for quantum gases, which is valid in both the classical limit and the degenerate quantum regime. Most importantly, the proposed Biswas–Mitra–Bhattacharyya conjecture (Biswas et al 2015 J. Stat. Mech. P03013) relating the hump in energy fluctuation and the discontinuity of specific heat is essentially proved and made precise in this manuscript.
- Published
- 2016
26. A note on the Fermi energy of an ideal Fermi gas trapped under a generic power law potential in d -dimension
- Author
-
Mir Mehedi Faruk
- Subjects
Condensed Matter::Quantum Gases ,Physics ,Dimension (vector space) ,Quantum mechanics ,Free system ,General Physics and Astronomy ,Fermi energy ,Fermion ,Ideal (ring theory) ,Fermi gas ,Power law ,Energy (signal processing) - Abstract
The average energy per fermion in the case of a Fermi gas with any kinematic characteristic, trapped under the most general power law potential in d-dimension has been calculated at zero temperature. In a previous paper (Acharyya M 2010 Eur. J Phys. 31 L89) it was shown, in the case of a free ideal Fermi gas, as the dimension increases the average energy approaches the Fermi energy and in infinite dimension the average energy becomes equal to the Fermi energy at T = 0. In this letter it is shown that, for a trapped system at finite dimension the average energy depends on a power law exponent, but as the dimension tends to infinity the average energy coincides with the Fermi energy for any power law exponent. The result obtained in this manuscript is more general, as we can describe the free system as well as any trapped system with an appropriate choice of power law exponent, and is true for any kinematic parameter.
- Published
- 2015
27. Repulsive Casimir force in Bose–Einstein Condensate.
- Author
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Mir Mehedi Faruk and Shovon Biswas
- Published
- 2018
- Full Text
- View/download PDF
28. A proof of the Biswas–Mitra–Bhattacharyya conjecture for the ideal quantum gas trapped under the generic power law potential in d dimensions.
- Author
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Mir Mehedi Faruk and Md Muktadir Rahman
- Published
- 2016
- Full Text
- View/download PDF
29. Virial Coefficients from Unified Statistical Thermodynamics of Quantum Gases Trapped under Generic Power Law Potential in d Dimension and Equivalence of Quantum Gases.
- Author
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Shah Mohammad Bahauddin and Mir Mehedi Faruk
- Published
- 2016
- Full Text
- View/download PDF
30. Energy Fluctuation of Ideal Fermi Gas Trapped under Generic Power Law Potential in d Dimensions.
- Author
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Mir Mehedi Faruk, Md. Muktadir Rahman, Dwaipayan Debnath, and Md. Sakhawat Hossain Himel
- Published
- 2016
- Full Text
- View/download PDF
31. Investigation of Bose Condensation in Ideal Bose Gas Trapped under Generic Power Law Potential in d Dimension.
- Author
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Mir Mehedi Faruk, Md. Sazzad Hossain, and Md. Muktadir Rahman
- Published
- 2016
- Full Text
- View/download PDF
32. The inheritance of energy conditions: Revisiting no-go theorems in string compactifications
- Author
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Heliudson Bernardo, Suddhasattwa Brahma, Mir Mehedi Faruk
- Subjects
Physics ,QC1-999 - Abstract
One of the fundamental challenges in string theory is to derive realistic four-dimensional cosmological backgrounds from it despite strict consistency conditions that constrain its possible low-energy backgrounds. In this work, we focus on energy conditions as covariant and background-independent consistency requirements in order to classify possible backgrounds coming from low-energy string theory in two steps. Firstly, we show how supergravity actions obey many relevant energy conditions under some reasonable assumptions. Remarkably, we find that the energy conditions are satisfied even in the presence of objects which individually violate them due to the tadpole cancellation condition. Thereafter, we list a set of conditions for a higher-dimensional energy condition to imply the corresponding lower-dimensional one, thereby categorizing the allowed low-energy solutions. As for any no-go theorem, our aim is to highlight the assumptions that must be circumvented for deriving four-dimensional spacetimes that necessarily violate these energy conditions, with emphasis on cosmological backgrounds.
- Published
- 2023
- Full Text
- View/download PDF
33. Late-time correlators and complex geodesics in de Sitter space
- Author
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Lars Aalsma, Mir Mehedi Faruk, Jan Pieter van der Schaar, Manus Visser, Job de Witte
- Subjects
Physics ,QC1-999 - Abstract
We study two-point correlation functions of a massive free scalar field in de Sitter space using the heat kernel formalism. Focusing on two operators in conjugate static patches we derive a geodesic approximation to the two-point correlator valid for large mass and at late times. This expression involves a sum over two complex conjugate geodesics that correctly reproduces the large-mass, late-time limit of the exact two-point function in the Bunch-Davies vacuum. The exponential decay of the late-time correlator is associated to the timelike part of the complex geodesics. We emphasize that the late-time exponential decay is in tension with the finite maximal entropy of empty de Sitter space, and we briefly discuss how non-perturbative corrections might resolve this paradox.
- Published
- 2023
- Full Text
- View/download PDF
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