Einstein’s fluctuation relation and Gibbs states far from equilibrium
| Autor: | Alexandre Lazarescu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Physics General Physics and Astronomy Non-equilibrium thermodynamics Statistical and Nonlinear Physics Function (mathematics) 01 natural sciences Conserved quantity Symmetry (physics) 010305 fluids & plasmas symbols.namesake Modeling and Simulation 0103 physical sciences symbols Large deviations theory Statistical physics Boundary value problem Einstein 010306 general physics Mathematical Physics Stationary state |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 53:40LT02 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8121/abae40 |
| Popis: | We examine a class of one-dimensional lattice-gases characterised by a gradient condition which guarantees the existence of Gibbs-type homogeneous stationary states. We show how, defining appropriate boundary conditions, this leads to a special symmetry of the system under time and space reversal which, rephrased in terms of the large deviations function of stationary currents of conserved quantities, yields a novel fluctuation relation under reservoir exchange, unrelated to the Gallavotti-Cohen symmetry. We then show that this relation can be interpreted as a nonequilibrium and nonlinear generalisation Einstein's relation, leading to Onsager reciprocity relations in the limit of a small reservoir imbalance. Finally, we illustrate our results with two examples. |
| Databáze: | OpenAIRE |
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