Einstein’s fluctuation relation and Gibbs states far from equilibrium
(2020) Journal of Physics A: Mathematical and Theoretical — Vol. 53, n° 40 (2020)
Files
Einstein_s_fluctuation_relation_and_Gibbs_states_far_from_equilibrium.pdf
Open Access - Adobe PDF
- 307.64 KB
Details
- Authors
Lazarescu, Alexandre 
- Abstract
- We examine a class of one-dimensional lattice-gases characterised by a gradient condition which is a necessary and sufficient condition for the existence of Gibbs-type homogeneous stationary states. We show how, defining appropriate boundary conditions, this condition leads to a novel fluctuation relation under reservoir exchange, unrelated to the Gallavotti-Cohen symmetry. We show that it can be interpreted as a nonequilibrium and nonlinear generalisation of Einstein's relation, leading to Onsager reciprocity relations in the limit of a small reservoir imbalance. We illustrate these results with two examples.
- Affiliations
Citations
Lazarescu, A. (2020). Einstein’s fluctuation relation and Gibbs states far from equilibrium. Journal of Physics A: Mathematical and Theoretical, 53(40). https://doi.org/10.1088/1751-8121/abae40 (Original work published 2020)