Simulational study on dimensionality dependence of heat conduction

Takashi Shimada, Teruyoshi Murakami, Satoshi Yukawa, Keiji Saito, Nobuyasu Ito

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38 Citations (Scopus)


Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional systems of the size Lx × Ly × Lz (Lz ≫ Lx, Ly) are simulated. Heat baths are put in both ends: one has a higher temperature than the other. In the case of the crystal, the interaction potential V has a fourth-order nonlinear term in addition to the harmonic term, and the Nosé-Hoover method is used for the heat baths. In the case of the fluid, the stochastic boundary condition is charged, which performs the function of the heat baths. Fourier-type heat conduction is reproduced in both crystal and fluid models in a three-dimensional system, but it is not observed in lower-dimensional systems. The autocorrelation function of heat flux is also observed and long-time tails of the form ∼ t-d/2, where d denotes the dimensionality of the system, are confirmed.

Original languageEnglish
Pages (from-to)3150-3153
Number of pages4
JournalJournal of the Physical Society of Japan
Issue number10
Publication statusPublished - 2000 Oct
Externally publishedYes


  • Hard-core fluids
  • Heat conduction
  • Nonequilibrium thermodynamics
  • Nonlinear lattice

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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