Transport phenomena at a critical point

Thermal conduction in the Creutz cellular automaton

Keiji Saitou, S. Takesue, S. Miyashita

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The nature of energy transport around a critical point is studied in the Creutz cellular automaton. The Fourier heat law is confirmed to hold in this model by a direct measurement of heat flow under a temperature gradient. The thermal conductivity is carefully investigated near the critical point by the use of the Kubo formula. As a result, the thermal conductivity is found to take a finite value at the critical point, contrary to some previous works. Equal-time correlation of the heat flow is also analyzed by a mean-field type approximation to investigate the temperature dependence of thermal conductivity. A variant of the Creutz cellular automaton called the Q2R is also investigated and similar results are obtained.

Original languageEnglish
Pages (from-to)2783-2794
Number of pages12
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number3 PART A
Publication statusPublished - 1999 Mar
Externally publishedYes

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Transport Phenomena
cellular automata
Thermal Conductivity
Conduction
Cellular Automata
Critical point
critical point
thermal conductivity
Heat Flow
heat transmission
conduction
Energy Transport
Temperature Dependence
Mean Field
temperature gradients
Heat
Gradient
heat
temperature dependence
Approximation

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Transport phenomena at a critical point : Thermal conduction in the Creutz cellular automaton. / Saitou, Keiji; Takesue, S.; Miyashita, S.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 59, No. 3 PART A, 03.1999, p. 2783-2794.

Research output: Contribution to journalArticle

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