Temperature Profiles in Hamiltonian Heat Conduction

Abstract

We study heat transport in the context of Hamiltonian and related stochastic models with nearest-neighbor coupling, and derive a universal law for the temperature profiles of a large class of such models. This law contains a parameter α, and is linear only when α=1. The value of α depends on energy-exchange mechanisms, including the range of motion of tracer particles and their times of flight.

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