Energy fluctuations in simple conduction models
Huveneers, François (2013), Energy fluctuations in simple conduction models, Stochastic Processes and their Applications, 123, 10, p. 3753-3769. http://dx.doi.org/10.1016/j.spa.2013.05.008
TypeArticle accepté pour publication ou publié
External document linkhttp://fr.arxiv.org/abs/1112.0512
Journal nameStochastic Processes and their Applications
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Abstract (EN)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 neighboors 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 hydordynamic limit of the fluctuation field.
Subjects / KeywordsWeak interactions; Energy transfer; Fluctuations (Physics); Heat Transmission
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Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems Huveneers, François; Abanin, Dmitry A.; De Roeck, Wojciech; Wen-Wei, Ho (2017) Article accepté pour publication ou publié