Temperature Profiles in Hamiltonian Heat Conduction

Details Temperature Profiles in Hamiltonian Heat Conduction Temperature Profiles in Hamiltonian Heat Conduction

2004-01-19

arxiv.org/abs/cond-mat/0401320v3

Physics

Condensed Matter

Statistical Mechanics

Revised text, same results Second revision

Scientific paper

10.1209/epl/i2004-10291-5

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 $\alpha$, and is linear only when $\alpha=1$. The value of $\alpha$ depends on energy-exchange mechanisms, including the range of motion of tracer particles and their times of flight.

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