## Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats. (802)

Citations: | 6 - 0 self |

### BibTeX

@MISC{Bodineau802largedeviations,

author = {Thierry Bodineau and Raphaël Lefevere},

title = {Large deviations of lattice Hamiltonian dynamics coupled to stochastic thermostats.},

year = {802}

}

### OpenURL

### 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. 1 Introduction. Attempts to study large systems out of equilibrium through fluctuation theory has received a lot of attention in recent years [2, 3, 4, 5, 16, 18, 19, 20]. In a recent series of papers [27, 8, 28, 29, 30], it has been understood that in random systems driven out of equilibrium, the theory of large deviations provides naturally a variational