Mm. Tomadakis et Sv. Sotirchos, TRANSPORT THROUGH RANDOM ARRAYS OF CONDUCTIVE CYLINDERS DISPERSED IN A CONDUCTIVE MATRIX, The Journal of chemical physics, 104(17), 1996, pp. 6893-6900
We present computer simulation results for the effective conductivitie
s of random dispersions of cylinders of arbitrary conductivity relativ
e to that of the matrix phase. The cylinders are randomly positioned i
n space with their axes parallel to a line, parallel to a plane, or wi
thout preferred orientation. Effective conductivities are computed fro
m the mean square displacement of carriers traveling in the two-phase
medium according to a discrete step-by-step random walk mechanism. The
probability that a carrier colliding with the interface will be refle
cted back into its phase of travel or cross into the other phase is de
termined on the basis of the conductivities of the two phases meeting
at the interface. The computed values of effective conductivity are co
mpared with variational bounds and analytical approximations of the li
terature. (C) 1996 American Institute of Physics.