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Simulational Study on Dimensionality-Dependence of Heat Conduction

Takashi Shimada·Teruyoshi Murakami·Satoshi Yukawa·Keiji Saito·Nobuyasu Ito
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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 system of the size of $L_x\times L_y\times L_z(L_z\gg L_x,L_y)$ is simulated. Heat baths are put in both end: one has higher temperature than the other. In the crystal case, the interaction potential $V$ has fourth-order non-linear term in addition to the harmonic term, and Nose-Hoover method is used for the heat baths. In the fluid case, stochastic boundary condition is charged, which works as the heat baths. Fourier-type heat conduction is reproduced both in crystal and fluid models in three-dimensional system, but it is not observed in lower dimensional system. Autocorrelation function of heat flux is also observed and long-time tails of the form of $\sim t^{-d/2}$, where $d$ denotes the dimensionality of the system, are confirmed.

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Takashi Shimada, Teruyoshi Murakami, Satoshi Yukawa, Keiji Saito, Nobuyasu Ito. 2000-06-01. Simulational Study on Dimensionality-Dependence of Heat Conduction. https://doi.org/10.1143/jpsj.69.3150

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