Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats
Mathematical Physics
2009-11-13 v2 Statistical Mechanics
math.MP
Probability
Abstract
We discuss the Donsker-Varadhan theory of large deviations in the framework of Hamiltonian systems thermostated by a Gaussian stochastic coupling. We derive a general formula for the Donsker-Varadhan large deviation functional for dynamics which satisfy natural properties under time reversal. Next, we discuss the characterization of the stationary state as the solution of a variational principle and its relation to the minimum entropy production principle. Finally, we compute the large deviation functional of the current in the case of a harmonic chain thermostated by a Gaussian stochastic coupling.
Cite
@article{arxiv.0802.1104,
title = {Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats},
author = {T. Bodineau and R. Lefevere},
journal= {arXiv preprint arXiv:0802.1104},
year = {2009}
}
Comments
Revised version, published in Journal of Statistical Physics