A formal view on 2.5 large deviations and fluctuation relations
Statistical Mechanics
2015-08-04 v2 Mathematical Physics
math.MP
Abstract
We obtain the rate function for the level 2.5 of large deviations for pure jump and diffusion processes. This result is proved by two methods: tilting, for which a tilted process with an appropriate typical behavior is considered, and a spectral method, for which the scaled cumulant generating function is used. We also briefly discuss fluctuation relations, pointing out their connection with large deviations at the level 2.5.
Keywords
Cite
@article{arxiv.1408.5033,
title = {A formal view on 2.5 large deviations and fluctuation relations},
author = {Andre C. Barato and Raphael Chetrite},
journal= {arXiv preprint arXiv:1408.5033},
year = {2015}
}
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16 pages