APPROXIMATE POWER-LAW CONDUCTIVITY IN THE MULTIPLE-HOPPING REGIME
APPROXIMATE POWER-LAW CONDUCTIVITY IN THE MULTIPLE-HOPPING REGIME
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DOI：
10.1016/0022-3093(94)00556-7
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发表时间：
1995-04-01
影响因子：
3.5
通讯作者：
HUNT, A
中科院分区：
文献类型：
--
作者：
HUNT, A
应用逾渗理论的交流电导率，西格玛（Ω），无序系统需要一个描述的微观转变占主导地位的响应在任何特定的频率。这些是在高频率下的对弛豫，在中频下的小集群（在对弛豫的重整化版本中处理）和在低频率下的大集群，低于损耗峰值。最近的结果给出了定量表示的频率，ω（0），定义对和小集群之间的交叉松弛应用于定量计算的功率，s，在西格玛（ω）的ω正好在多跳制度的损失峰值以上。
Application of percolation theory to the ac conductivity, sigma(omega), of disordered systems requires a description of the microscopic transitions dominating the response at any particular frequency. These are pair relaxation at high frequencies, small clusters at intermediate frequencies (treated in a renormalized version of pair relaxation) and large clusters at low frequencies, below the loss peak. Recent results giving a quantitative representation of the frequency, omega(0), defining the crossover between pair and small cluster relaxation are applied to a quantitative calculation of the power, s, of omega in sigma(omega) just above the loss peak in the multiple-hopping regime.