Anomalous Heat Conduction in Quasi-One-Dimensional Gases

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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} g g L_{y}, L_{z}

. The necessary condition for such a size dependence is derived as

p h i e q u i v L_{x} / (n^{1 / 2} L_{y}^{5 / 4} L_{z}^{5 / 4}) g g 1

, where

p h i

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.

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