Simulational study on dimensionality dependence of heat conduction

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

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

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
Volume69
Issue number10
Publication statusPublished - 2000 Oct
Externally publishedYes

Fingerprint

conductive heat transfer
baths
heat
fluids
crystals
autocorrelation
heat flux
computerized simulation
interactions
boundary conditions
harmonics

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Shimada, T., Murakami, T., Yukawa, S., Saitou, K., & Ito, N. (2000). Simulational study on dimensionality dependence of heat conduction. Journal of the Physical Society of Japan, 69(10), 3150-3153.

Simulational study on dimensionality dependence of heat conduction. / Shimada, Takashi; Murakami, Teruyoshi; Yukawa, Satoshi; Saitou, Keiji; Ito, Nobuyasu.

In: Journal of the Physical Society of Japan, Vol. 69, No. 10, 10.2000, p. 3150-3153.

Research output: Contribution to journalArticle

Shimada, T, Murakami, T, Yukawa, S, Saitou, K & Ito, N 2000, 'Simulational study on dimensionality dependence of heat conduction', Journal of the Physical Society of Japan, vol. 69, no. 10, pp. 3150-3153.
Shimada, Takashi ; Murakami, Teruyoshi ; Yukawa, Satoshi ; Saitou, Keiji ; Ito, Nobuyasu. / Simulational study on dimensionality dependence of heat conduction. In: Journal of the Physical Society of Japan. 2000 ; Vol. 69, No. 10. pp. 3150-3153.
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