Path-integral approach to strongly nonlinear composites

被引:5
作者
Barthélémy, M [1 ]
机构
[1] Ctr Etud Bruyeres Le Chatel, Serv Phys Mat Condensee, CEA, F-91680 Bruyeres Le Chatel, France
来源
PHYSICAL REVIEW B | 2000年 / 62卷 / 13期
关键词
D O I
10.1103/PhysRevB.62.8576
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study strongly nonlinear disordered media using a functional method. We solve exactly the problem of a nonlinear impurity in a linear host and we obtain a Bruggeman-like formula for the effective nonlinear susceptibility. This formula reduces to the usual Bruggeman effective medium approximation in the linear case and has the following features: (i) It reproduces the weak contrast expansion to the second order and (ii) the effective medium exponent near-the percolation threshold are s = i, t = 1 + kappa. where kappa is the nonlinearity exponent. Finally, we give analytical expressions for previously numerically calculated quantities.
引用
收藏
页码:8576 / 8579
页数:4
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