Transport Phenomena at a Critical Point -- Thermal Conduction in the Creutz Cellular Automaton --

Abstract

Nature of energy transport around a critical point is studied in the Creutz cellular automaton. 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 phase transition by the use of the Kubo formula. As the 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.

27 pages including 14figures

References in corpus (2)

• On the anomalous thermal conductivity of one-dimensional lattices
• Heat conduction in the diatomic Toda lattice revisited

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