Finite thermal conductivity in 1D lattices

C Giardina, R Livi, A Politi, M Vassalli

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Abstract

We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1D nonlinear lattice exhibiting normal transport properties in the absence of an on-site potential. Numerical estimates obtained by simulating a chain in contact with two thermal baths at different temperatures are found to be consistent with those based on linear response theory. The dynamics of the Fourier modes provides direct evidence of energy diffusion. The finiteness of the conductivity is traced back to the occurrence of phase jumps. Our conclusions are confirmed by the analysis of two variants of this model.

Original languageEnglish
Pages (from-to)2144-2147
Number of pages4
JournalPhysical Review Letters
Volume84
Issue number10
DOIs
Publication statusPublished - 6 Mar 2000

Keywords

  • heat-conduction
  • oscillators
  • dynamics
  • systems
  • chains

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