Heat conduction in the disordered Fermi-Pasta-Ulam chain

Details Heat conduction in the disordered Fermi-Pasta-Ulam chain Heat conduction in the disordered Fermi-Pasta-Ulam chain

2008-06-25

arxiv.org/abs/0806.4067v1

Phys. Rev. E vol. 78, 061136 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.78.061136

We address the question of the effect of disorder on heat conduction in an anharmonic chain with interactions given by the Fermi-Pasta-Ulam (FPU) potential. In contrast to the conclusions of an earlier paper [Phys. Rev. Lett. 86, 63 (2001)] which found that disorder could induce a finite thermal conductivity at low temperatures, we find no evidence of a finite temperature transition in conducting properties. Instead, we find that at low temperatures, small system size transport properties are dominated by disorder but the asymptotic system size dependence of current is given by the usual FPU result J ~ 1/N^{2/3}. We also present new interesting results on the binary-mass ordered FPU chain.

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