Eur. Phys. J. B 54, 185-188 (2006)
https://doi.org/10.1140/epjb/e2006-00442-0

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

Department of Physics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China

Corresponding author: ^a zhaohuahust@163.com

Received: 12 June 2006
Revised: 25 September 2006
Published online: 22 December 2006

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.