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 email@example.com
Revised: 25 September 2006
Published online: 22 December 2006
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∼Nα. As a special case we give the expression that κ∼N1/2 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.
PACS: 44.10.+i – Heat conduction / 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.60.Gg – Quantum transport / 05.45.Ac – Low-dimensional chaos
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006