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

K. Saito·S. Takesue·S. Miyashita
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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.

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K. Saito, S. Takesue, S. Miyashita. 1998-11-12. Transport Phenomena at a Critical Point -- Thermal Conduction in the Creutz Cellular Automaton --. https://doi.org/10.1103/physreve.59.2783

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