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Local Thermodynamic Equilibrium for some Stochastic Models of Hamiltonian Origin
Authors:K Ravishankar  Lai-Sang Young
Institution:(1) Department of Math., SUNY at New Paltz, New Paltz, NY 12561, USA;(2) Courant Institute of Math. Science, 251 Mercer St., New York, NY 10012, USA
Abstract:We consider a class of 1-D stochastic models that are realizations of Hamiltonian models of heat conduction and prove that in the infinite volume limit local thermodynamic equilibrium is attained with linear energy profile.
Keywords:local thermodynamic equilibrium  Hamiltonian systems  scaling limits  random walks  Martingales  interacting particle systems
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