Influence of heat bath on the heat conductivity in disordered anharmonic chain

H. Zhao (), L. Yi, F. Liu and B. Xu

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 54, issue 2, 185-188

Abstract: We study heat conduction in a one-dimensional disordered anharmonic chain with arbitrary heat bath by using extended Ford, Kac and Mazur (FKM) formulation, which satisfy the fluctuation-dissipation theorem. A simple formal expression for the heat conductivity κ is obtained, from which the asymptotic system-size (N) dependence is extracted. It shows κ∼N α . As a special case we give the expression that κ∼N 1/2 for free boundaries, and κ∼ N -1/2 for fixed boundaries, from which we can get the conclusion that the momentum conservation is a key factor of the anomalous heat conduction. Comparing with different ∇T, the heat conductivity shows large difference between the linear system and the nonlinear system. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 44.10.+i Heat conduction; 05.70.Ln Nonequilibrium and irreversible thermodynamics; 05.60.Gg Quantum transport; 05.45.Ac Low-dimensional chaos (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00442-0

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