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Heat conduction in one dimensional nonintegrable systems

Bambi Hu·Baowen Li·Hong Zhao
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Abstract

Two classes of 1D nonintegrable systems represented by the Fermi-Pasta-Ulam (FPU) model and the discrete $ϕ^4$ model are studied to seek a generic mechanism of energy transport in microscopic level sustaining macroscopic behaviors. The results enable us to understand why the class represented by the $ϕ^4$ model has a normal thermal conductivity and the class represented by the FPU model does not even though the temperature gradient can be established.

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Bambi Hu, Baowen Li, Hong Zhao. 2000-02-14. Heat conduction in one dimensional nonintegrable systems. https://doi.org/10.1103/physreve.61.3828

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