Large Deviations of Lattice Hamiltonian Dynamics Coupled to Stochastic Thermostats |
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Authors: | Thierry Bodineau Raphaël Lefevere |
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Institution: | 1. Ecole Normale Supérieure, DMA, 45 rue d’Ulm, 75230, Paris Cedex 05, France 2. LPMA, Université Denis Diderot (P7), Bo?te courrier 7012, 75251, Paris Cedex 05, France
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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 states 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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Keywords: | Hamiltonian systems Large deviations Current |
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