Divergent thermal conductivity in three-dimensional nonlinear lattices

Hayato Shiba, Satoshi Yukawa, Nobuyasu Ito

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10 Citations (Scopus)


Heat conduction in three-dimensional nonlinear lattices is investigated using particle dynamics simulations. The system is a simple three-dimensional extension of the Fermi-Pasta-Ulam β nonlinear lattices, in which the interparticle potential has a biquadratic term together with a harmonic term. The system size is L x L x 2L, and the heat is made to flow in the 2L direction using the Nosé-Hoover method. Although a linear temperature profile is realized, the ratio of energy flux to temperature gradient shows logarithmic divergence with L. The autocorrelation function of energy flux C(t) is observed to show power-law decay as t-0.98±0.25, which is slower than the decay in conventional momentumconserving three-dimensional systems (t -3/2). Similar behavior is also observed in the four-dimensional system.

Original languageEnglish
Article number103001
Journaljournal of the physical society of japan
Issue number10
Publication statusPublished - 2006 Oct


  • Green-Kubo formula
  • Heat conduction
  • Long-time tails
  • Molecular dynamics simulation
  • Nonequilibrium statistical mechanics
  • Transport phenomena

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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