CONTINUUM PERCOLATION CONDUCTIVITY EXPONENTS IN RESTRICTED DOMAINS

Citation
B. Berkowitz et R. Knight, CONTINUUM PERCOLATION CONDUCTIVITY EXPONENTS IN RESTRICTED DOMAINS, Journal of statistical physics, 80(5-6), 1995, pp. 1415-1423
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
80
Issue
5-6
Year of publication
1995
Pages
1415 - 1423
Database
ISI
SICI code
0022-4715(1995)80:5-6<1415:CPCEIR>2.0.ZU;2-8
Abstract
Conductivity behavior of continuum percolation in restricted two-dimen sional domains is simulated by considering systems of randomly distrib uted disks. The domain is restricted in that conducting objects are pe rmitted to lie in only a portion of the domain. Such a restricted doma in might better approximate some natural systems. Simulations of two-d imensional systems, based on three distributions of local conductances , are examined and found to demonstrate a power-law behavior with cond uctivity exponents smaller than those arising in regular lattice and c ontinuum percolation.