Heat conduction in one dimensional nonintegrable systems

Abstract

Two classes of 1D nonintegrable systems represented by the Fermi-Pasta-Ulam (FPU) model and the discrete ${\varphi }^4$ 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 ${\varphi }^4$ model has a normal thermal conductivity and the class represented by the FPU model does not even though the temperature gradient can be established.

4 Revtex Pages, 4 Eps figures included, to appear in Phys. Rev. E, March 2000

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