TY - JOUR

T1 - Mean field theory for weakly nonlinear composites

AU - Zeng, X. C.

AU - Hui, P. M.

AU - Bergman, D. J.

AU - Stroud, D.

N1 - Funding Information:
This work was supported by the US National Science Foundation under Grant DMR-87-18874 (DS, XCZ, DJB), the Defense Advanced Research Projects Agency under ONR Contract NOO014-86-K-003(3P MH), and the US-Israel Binational Science Foundation under Grant No. 354/85 (DJB).

PY - 1989/5/1

Y1 - 1989/5/1

N2 - We discuss the nonlinear behavior of a random composite material characterized by a weakly nonlinear relation between the electric displacement of the form D = ε{lunate}E + χ|E|2E, where ε{lunate} and χ are position dependent. A general expression for the effective nonlinear susceptibility to first order in the nonlinear susceptibility of the constituents in the composite is given. A general method of approximation is introduced which gives the effective nonlinear susceptibility in terms of the solution of the linear dielectric function of the random composite. Various applications of the proposed approximation are demonstrated.

AB - We discuss the nonlinear behavior of a random composite material characterized by a weakly nonlinear relation between the electric displacement of the form D = ε{lunate}E + χ|E|2E, where ε{lunate} and χ are position dependent. A general expression for the effective nonlinear susceptibility to first order in the nonlinear susceptibility of the constituents in the composite is given. A general method of approximation is introduced which gives the effective nonlinear susceptibility in terms of the solution of the linear dielectric function of the random composite. Various applications of the proposed approximation are demonstrated.

UR - http://www.scopus.com/inward/record.url?scp=0005365319&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(89)90300-2

DO - 10.1016/0378-4371(89)90300-2

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AN - SCOPUS:0005365319

SN - 0378-4371

VL - 157

SP - 192

EP - 197

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1

ER -