颗粒复合介质的非线性响应

Strongly Nonlinear Response of Granular Composite

本文应用变分的方法（１）研讨了一组经非线性导电颗粒复合介质的有效非线性响应，我们假定各组元的电流密度（Ｊ）－电场（Ｅ）关系为Ｊ＝ｘ（Ｅ）Ｅ即五次非线性响应，数值给出了在稀释极限下有效电导随浓度及各组元电导的关系，同时研究了非线性次数对系统的有效电导产生的影响。

In this paper, we use a variational approach[1] to study the bulk effective response of a class of inhomengenous media with strongly nonlinear conductivity. We assume that every constituent of the composite obeys a current - field relation of the form J=X|E|4 E. In dilute limits, we have presented some numerical results for the effective conductivity with the change of microscopic conductivities and the concentration. Meanwhile, we discuss the influence resulting from the nonlinear exponent.