B. Berkowitz et R. Knight, CONTINUUM PERCOLATION CONDUCTIVITY EXPONENTS IN RESTRICTED DOMAINS, Journal of statistical physics, 80(5-6), 1995, pp. 1415-1423
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.