Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats
arXiv:0802.1104 · doi:10.1007/s10955-008-9601-4
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.
Revised version, published in Journal of Statistical Physics
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