Frequency response of unified dielectric and conductive systems involving an exponential distribution of activation energies
Frequency response of unified dielectric and conductive systems involving an exponential distribution of activation energies
复制标题
涉及活化能指数分布的统一介电和导电系统的频率响应
DOI：
10.1063/1.336003
复制
发表时间：
1985
影响因子：
3.2
通讯作者：
J. Macdonald
中科院分区：
文献类型：
--
作者：
J. Macdonald
当已知电介质或导电系统的小信号交流频率响应时，无论是函数还是数据，都表明可以通过使用新的对偶关系立即获得相关导电或电介质系统的相应响应。一个特定的模型被认为是涉及热激活电容和/或电阻，与激活能概率密度指数依赖于能量。以前的频率响应分析这样一个连续分布的模型涉及不充分的近似，并导致错误的预测。正确的导抗结果以三种方式呈现：解析、通过复平面图以及通过使用三维透视图。结果以一般形式给出，但适用于介电和导电系统，涉及相同的功能依赖于激活能。低-和高-频率限制响应为一个给定的系统被发现与…
When the small‐signal ac frequency response of a dielectric or conductive system is known, either functionally or as data, it is shown that the corresponding response of an associated conductive or dielectric system may be immediately obtained through the use of new duality relations. A specific model is considered which involves thermally activated capacitance and/or resistance, with an activation energy probability density exponentially dependent on energy. Previous frequency response analyses of such a continuously distributed model involve inadequate approximations and lead to erroneous predictions. Correct immittance results are presented in three ways: analytically, by means of complex plane plots, and through the use of three‐dimensional perspective plots. Results are given in general form but apply to both dielectric and conductive systems which involve the same functional dependence on activation energies. Low‐ and high‐frequency‐limiting responses for a given system are found to be associated wi...