Anomalous Heat Conduction in Quasi-One-Dimensional Gases(Condensed Matter and Statistical Physics)

概要

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From three-dimensional linearized hydrodynamic equations, it is found that the heat conductivity is proportional to (L_x/(L^2_yL^2_z))^<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≫L_y, L_z. The necessary condition for such a size dependence is derived as φ≡L_x/(n^<1/2>L^<5/4>_yL^<5/4>_z)≫1, where φ 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.
理論物理学刊行会の論文
2007-10-25