渗流理论
电导率
渗透(认知心理学)
塞贝克系数
统计物理学
凝聚态物理
主方程
极限(数学)
定向渗流
态密度
物理
数学
电阻率和电导率
渗流阈值
量子力学
数学分析
量子
生物
神经科学
作者
B. Movaghar,Walter Schirmacher
出处
期刊:Journal of Physics C: Solid State Physics
[IOP Publishing]
日期:1981-02-28
卷期号:14 (6): 859-880
被引量:165
标识
DOI:10.1088/0022-3719/14/6/012
摘要
Starting with the linearised master equation, the authors present a first-principles theory of conductivity for disordered systems. The theory is valid for all situations to which the master equation description applies. The path summation and configurational average are evaluated by generalising relations obtained from exactly soluble models. Both symmetric and asymmetric energy-dependent transition frequencies are considered. In the latter case they are able to define an energy-dependent conductivity from which it is possible to evaluate the thermopower. All electronic transport properties, including the frequency-dependent conductivity can be evaluated self-consistently, the only input parameter being the density of states. Numerical results for the DC conductivity and thermopower are presented using several model density-of-states functions. For random statistics, the results are in complete agreement with percolation theory for low densities (temperature). The theory is exact in the high-density (temperature) limit.
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