ASYMPTOTIC SCREENING AND NETWORK MODELS
FOR CLOSELY PACKED PARTICLES

A. G. Kolpakov

UDC 519.6:517.58

The asymptotics of the conductivity (capacitance) of 
a medium with a system of perfectly conductive particles with a small 
spacing between them (close packing of particles) has been investigated. 
A sufficient condition for the appearance of the asymptotic screening 
effect has been obtained. It has been shown that for this effect to 
be present for pairs of neighboring particles the continuous problem 
can be approximated by a finite-dimensional (network) problem.

Novosibirsk State Architecture and Civil Engineering 
University, Russia; email: algk@ngs.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 79, No. 2, pp. 39-47, March-April, 2006. Original 
article submitted May 5, 2005.