Energy fluctuations in simple conduction models
نویسنده
چکیده
We introduce a class of stochastic weakly coupled map lattices, as models for studying heat conduction in solids. Each particle on the lattice evolves according to an internal dynamics that depends on its energy, and exchanges energy with its neighbors at a rate that depends on its internal state. We study energy fluctuations at equilibrium in a diffusive scaling. In some cases, we derive the hydrodynamic limit of the fluctuation field. ∗CEREMADE, Université de Paris-Dauphine, Place du Maréchal De Lattre De Tassigny, 75775 PARIS CEDEX 16 FRANCE. E-mail: [email protected]. Supported by the European Advanced Grant Macroscopic Laws and Dynamical Systems (MALADY) (ERC AdG 246953)
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