Phys. Rev. E 61, 3828–3831 (2000)

Heat conduction in one-dimensional nonintegrable systems

Abstract

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Bambi Hu^1,2, Baowen Li^1,3,*, and Hong Zhao^1,4
¹Department of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Hong Kong, China
²Department of Physics, University of Houston, Houston Texas 77204-5506
³Department of Physics, National University of Singapore, 119260 Singapore
⁴Department of Physics, Lanzhou University, 730000 Lanzhou, China

Received 17 June 1999; revised 24 November 1999; published in the issue dated April 2000

Two classes of one-dimensional nonintegrable systems represented by the Fermi-Pasta-Ulam (FPU) model and the discrete φ⁴ model are studied to seek a generic mechanism of energy transport on a microscopic level sustaining macroscopic behaviors. The results enable us to understand why the class represented by the φ⁴ model has a normal thermal conductivity and the class represented by the FPU model does not even though the temperature gradient can be established.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.61.3828

DOI:

10.1103/PhysRevE.61.3828

PACS:

44.10.+i, 05.45.-a, 05.70.Ln, 66.70.+f

^*Author to whom correspondence should be addressed. Electronic address: bwli@phibm.hkbu.edu.hk

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Phys. Rev. E 61, 3828–3831 (2000)

Heat conduction in one-dimensional nonintegrable systems