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.
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Ravishankar, K., Young, LS. Local Thermodynamic Equilibrium for some Stochastic Models of Hamiltonian Origin. J Stat Phys 128, 641–665 (2007). https://doi.org/10.1007/s10955-007-9335-8
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DOI: https://doi.org/10.1007/s10955-007-9335-8