Level 2.5 large deviations for continuous time Markov chains with time periodic rates
Probability
2018-10-17 v3 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We consider an irreducible continuous time Markov chain on a finite state space and with time periodic jump rates and prove the joint large deviation principle for the empirical measure and flow and the joint large deviation principle for the empirical measure and current. By contraction we get the large deviation principle of three types of entropy production flow. We derive some Gallavotti-Cohen duality relations and discuss some applications.
Cite
@article{arxiv.1710.08001,
title = {Level 2.5 large deviations for continuous time Markov chains with time periodic rates},
author = {L. Bertini and R. Chetrite and A. Faggionato and D. Gabrielli},
journal= {arXiv preprint arXiv:1710.08001},
year = {2018}
}
Comments
37 pages. corrected version