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Absence of dissipation in trajectory ensembles biased by currents
- Source :
- Jack, R L & Evans, M 2016, ' Absence of dissipation in trajectory ensembles biased by currents ', Journal of Statistical Mechanics-Theory and Experiment, vol. 2016, no. 9, pp. 093305 . https://doi.org/10.1088/1742-5468/2016/09/093305
- Publication Year :
- 2016
- Publisher :
- arXiv, 2016.
-
Abstract
- We consider biased ensembles of trajectories associated with large deviations of currents in equilibrium systems. The biased ensembles are characterised by non-zero currents and lack the time-reversal symmetry of the equilibrium state, but we show that they retain a generalised time-reversal symmetry, involving a spatial transformation that inverts the current. This means that these ensembles lack dissipation. Hence, they differ significantly from non-equilibrium steady states where currents are induced by external forces. One consequence of this result is that maximum entropy assumptions (MaxEnt/MaxCal), widely used for modelling thermal systems away from equilibrium, have quite unexpected implications, including apparent superfluid behaviour in a classical model of shear flow.<br />Comment: 16 pages, 4 figs
- Subjects :
- Statistics and Probability
Physics
Statistical Mechanics (cond-mat.stat-mech)
Thermodynamic equilibrium
Principle of maximum entropy
Point reflection
FOS: Physical sciences
Statistical and Nonlinear Physics
Dissipation
01 natural sciences
Symmetry (physics)
010305 fluids & plasmas
Superfluidity
0103 physical sciences
Large deviations theory
Statistical physics
Statistics, Probability and Uncertainty
010306 general physics
Shear flow
Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Jack, R L & Evans, M 2016, ' Absence of dissipation in trajectory ensembles biased by currents ', Journal of Statistical Mechanics-Theory and Experiment, vol. 2016, no. 9, pp. 093305 . https://doi.org/10.1088/1742-5468/2016/09/093305
- Accession number :
- edsair.doi.dedup.....831a5e40bc34ed104415cf2f69bf8a97
- Full Text :
- https://doi.org/10.48550/arxiv.1602.03815