Entropic fluctuations in Gaussian dynamical systems
Mathematical Physics
2016-08-03 v1 Dynamical Systems
math.MP
Probability
Abstract
We study non-equilibrium statistical mechanics of a Gaussian dynamical system and compute in closed form the large deviation functionals describing the fluctuations of the entropy production observable with respect to the reference state and the non-equilibrium steady state. The entropy production observable of this model is an unbounded function on the phase space, and its large deviation functionals have a surprisingly rich structure. We explore this structure in some detail.
Keywords
Cite
@article{arxiv.1509.03244,
title = {Entropic fluctuations in Gaussian dynamical systems},
author = {Vojkan Jaksic and Claude-Alain Pillet and Armen Shirikyan},
journal= {arXiv preprint arXiv:1509.03244},
year = {2016}
}