EFFECTIVE CONDUCTIVITY OF NONLINEAR COMPOSITES OF SPHERICAL-PARTICLES - A PERTURBATION APPROACH

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/39315

Title:	EFFECTIVE CONDUCTIVITY OF NONLINEAR COMPOSITES OF SPHERICAL-PARTICLES - A PERTURBATION APPROACH
Authors:	YU,KW;WANG,YC;HUI,PM;GU,GQ
Contributors:	物理研究所
Keywords:	FIELD
Date:	1993
Issue Date:	2010-07-08 14:11:50 (UTC+8)
Publisher:	中央大學
Abstract:	The perturbation expansion method is employed to compute the effective nonlinear conductivity of a random composite material characterized by a weakly nonlinear relation between the current density J and the electric field E of the form J = sigmaE + chi Absolute value of E 2E, where sigma and chi take on different values in the inclusion and in the host. We develop perturbation expansions to obtain analytic formulas of the potential to arbitrary order in chi. As an example, we apply the method to deal with a spherical inclusion in a host, both of either linear or nonlinear J-E relations, and obtain the potential to second order in chi. For low inclusion concentrations, we derive the effective conductivity to the first, the third, and the fifth order.
Relation:	PHYSICAL REVIEW B
Appears in Collections:	[Graduate Institute of Physics] journal & Dissertation

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