Heat conduction in the disordered Fermi-Pasta-Ulam chain

Abhishek Dhar, Keiji Saito

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

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, 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∼1N2/3. We also present interesting results on the binary-mass ordered FPU chain.

Original languageEnglish
Article number061136
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume78
Issue number6
DOIs
Publication statusPublished - 2008 Dec 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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