ISSN:
1434-6036
Keywords:
PACS. 72.20.Ht High-field and nonlinear effects - 77.84.Lf Composite materials
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: In this article, we propose a new method to compute the effective properties of non-linear disordered media. We use the fact that the effective constants can be defined through the minimum of an energy functional. We express this minimum in terms of a path integral allowing us to use many-body techniques. We obtain the perturbation expansion of the effective constants to second order in disorder, for any kind of non-linearity. We apply our method to the case of strong non-linearities (i.e. , where is fluctuating from point to point), and to the case of weak non-linearity (i.e. where and fluctuate from point to point). Our results are in agreement with previous ones, and could be easily extended to other types of non-linear problems in disordered systems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100510050581
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