S. A. Bagnich and A. V. Konash
Institute of Molecular and Atomic Physics, Belarussian Academy of Sciences, Minsk, 220072 Belarus
e-mail: bagnich@imaph.bas-net.by
Received January 23, 2001; in final form, March 27, 2001
Abstract—The percolation process in a two-dimensional inhomogeneous lattice is studied by the Monte Carlo
method. The inhomogeneous lattice is simulated by a random distribution of inhomogeneities differing in size
and number. The influence of inhomogeneities on the parameters (critical concentration, average number of
sites in finite clusters, percolation probability, critical exponents, and fractal dimension of an infinite cluster)
characterizing the percolation in the system is analyzed. It is demonstrated that all these parameters essentially
depend on the linear size of inhomogeneities and their relative area. © 2001 MAIK “Nauka/Interperiodica”.
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