Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
Statistical Mechanics
2013-12-04 v2 Mathematical Physics
math.MP
Abstract
In the context of Markov evolution, we present two original approaches to obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic derivatives and by using a family of exponential martingales functionals. We show that GFDT are perturbative versions of relations verified by these exponential martingales. Along the way, we prove GFDT and Fluctuation Relations (FR) for general Markov processes, beyond the usual proof for diffusion and pure jump processes. Finally, we relate the FR to a family of backward and forward exponential martingales.
Keywords
Cite
@article{arxiv.1009.0707,
title = {Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale},
author = {Raphael Chetrite and Shamik Gupta},
journal= {arXiv preprint arXiv:1009.0707},
year = {2013}
}
Comments
41 pages, 7 figures; version2: 45 pages, 7 figures, minor revisions, new results in Section 6