Entropic fluctuations in Gaussian dynamical systems

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.

References in corpus (5)

• An Extension of the Fluctuation Theorem
• Work fluctuations for a Brownian particle between two thermostats
• Fluctuation symmetries for work and heat
• Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
• Entropic fluctuations in thermally driven harmonic networks

Cited by in corpus (6)

• Dynamical large deviations of linear diffusions
• Entropic fluctuations in thermally driven harmonic networks
• Large Deviations of the Entropy Production Rate for a Class of Gaussian Processes
• Control of fluctuations and heavy tails for heat variation in the two-time measurement framework
• Large deviations for quadratic functionals of stable Gauss-Markov chains and entropy production
• Energy statistics in open harmonic networks