WEAKLY NONLINEAR CONDUCTIVITY OF RANDOM COMPOSITES - A SERIES EXPANSION APPROACH

Authors
Citation
O. Levy et Dj. Bergman, WEAKLY NONLINEAR CONDUCTIVITY OF RANDOM COMPOSITES - A SERIES EXPANSION APPROACH, Journal of statistical physics, 82(5-6), 1996, pp. 1327-1344
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
82
Issue
5-6
Year of publication
1996
Pages
1327 - 1344
Database
ISI
SICI code
0022-4715(1996)82:5-6<1327:WNCORC>2.0.ZU;2-Q
Abstract
We present a series expansion calculation of the bulk effective coeffi cient of weakly nonlinear behavior in some continuum composite conduct ors and in simple cubic random resistor networks. The expansion is in powers of the relative difference between the linear Ohmic conductivit ies of the components. It is carried up to third order for an independ ent random bond network and a diagrammatic scheme is used to aid in im plementing the calculation. For continuum composites, only the first t erm of the expansion can be calculated explicitly without detailed inf ormation about the microgeometry. Such information is difficult to acq uire and even more difficult to exploit.