Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats

Details Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats

2008-02-08

arxiv.org/abs/0802.1104v2

Physics

Mathematical Physics

Revised version, published in Journal of Statistical Physics

Scientific paper

10.1007/s10955-008-9601-4

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.

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