Anomalous Heat Conduction in Quasi-One-Dimensional Gases

Abstract

From three-dimensional linearized hydrodynamic equations, it is found that the heat conductivity is proportional to $(L_x/(L_y^2{L}_z^2){)}^{1/3}$, where $L_x$, $L_y$ and $L_z$ are the lengths of the system along the $x$, $y$ and $z$ directions, and we consider the case in which $L_x\gg L_y,L_z$. The necessary condition for such a size dependence is derived as $\varphi \equiv L_x/(n^{1/2}{L}_y^{5/4}{L}_z^{5/4})\gg 1$, where $\varphi$ is the critical condition parameter and $n$ is the number density. This size dependence of the heat conductivity has been confirmed by molecular dynamics simulation.

10 pages, 4 figures

Cited by in corpus (1)

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