(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.