非欧姆逾渗导电的数值模拟与Poole Frenkel定律
Numerical modeling of nonohmic percolation conduction and Poole Frenkel laws
摘要：
我们提出了一个数值模型，模拟的电流-电压（I-V）特性的材料表现出逾渗传导。该模型由一个二维网格的指数不同的电阻在外部电场的存在下。我们获得了指数非欧姆I-V特性验证早期的分析预测和一致的非晶材料中的普尔-弗伦克尔定律的多个实验观察。对于小于逾渗团簇相关长度L的样品，指数与电压呈线性关系;对于大于L的样品，指数与电压的平方根呈线性关系。
英文摘要：
We present a numerical model that simulates the current-voltage (I-V) characteristics of materials that exhibit percolation conduction. The model consists of a two dimensional grid of exponentially different resistors in the presence of an external electric field. We obtained exponentially non-ohmic I-V characteristics validating earlier analytical predictions and consistent with multiple experimental observations of the Poole-Frenkel laws in non-crystalline materials. The exponents are linear in voltage for samples smaller than the correlation length of percolation cluster L, and square root in voltage for samples larger than L.
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