Transport phenomena at a critical point: Thermal conduction in the Creutz cellular automaton
Transport phenomena at a critical point: Thermal conduction in the Creutz cellular automaton
复制标题
临界点的传输现象：Creutz 元胞自动机中的热传导
DOI：
10.1103/physreve.59.2783
复制
发表时间：
1998
影响因子：
2.4
通讯作者：
S. Miyashita
中科院分区：
文献类型：
--
作者：
K. Saitō;S. Takesue;S. Miyashita
研究了克鲁茨元胞自动机中临界点附近能量输运的性质。通过对温度梯度下的热流的直接测量，证实了傅里叶热定律在该模型中是成立的。利用Kubo公式仔细研究了临界点附近的导热系数。结果发现，导热系数在临界点处取有限值，这与以往的一些工作相反。用平均场近似法分析了热流的等时相关关系，探讨了导热系数的温度依赖性。本文还研究了一种叫做Q2R的克鲁茨元胞自动机的变体，并得到了类似的结果。
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.