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Temperature Profiles in Hamiltonian Heat Conduction

Jean-Pierre Eckmann·Lai-Sang Young
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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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Jean-Pierre Eckmann, Lai-Sang Young. 2004-05-17. Temperature Profiles in Hamiltonian Heat Conduction. https://doi.org/10.1209/epl%2Fi2004-10291-5

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