二维费密液体理论(Ⅲ) 输运性质和声传播特性

THEORY OF TWO-DIMENSIONAL FERMI LIQUIDS (Ⅲ) TRA-NSPORT PROPERTIES AND SOUND PROPAGATION

本文研究了二维费密液体的输运性质和声传播特性,得到了扩散系数、粘滞系数和热导率的微观表达式以及零声和第一声的有关结果。通过对碰撞积分的讨论,认为须用一系列弛豫时间参数来描述二维液体,这与在三维情形可用一个唯象参数来描述不同。

We discuss transport properties and sound propagation of 2-D Fermi liquids. Microscopic expressions for the coefficients of diffusion, viscosity and thermal conductivity are derived using Resibois method. Velocities of the zeroth and first sounds are calculated. Based on an analysis of collision integral, it is shown that a series of relaxtion time parameters is necessary to define precisely the sound propagation properties in 2-D Fermi liquids, in contrast to the 3-D case.