Temperature profiles in Hamiltonian heat conduction

J. P. Eckmann; L. S. Young

doi:10.1209/epl/i2004-10291-5

Temperature profiles in Hamiltonian heat conduction

J. P. Eckmann, L. S. Young

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	790-796
Number of pages	7
Journal	Europhysics Letters
Volume	68
Issue number	6
DOIs	https://doi.org/10.1209/epl/i2004-10291-5
State	Published - Dec 2004

ASJC Scopus subject areas

General Physics and Astronomy

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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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AB - 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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Temperature profiles in Hamiltonian heat conduction

Abstract

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