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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 54, Number 2, Pages 268–276
(Mi tmf2119)
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This article is cited in 4 scientific papers (total in 4 papers)
Recursive models in percolation theory
V. P. Bovin, V. V. Vas'kin, I. Ya. Shneiberg Udmurt State University
Abstract:
Lattice models of the conductivity of random media with uncorrelated bonds are considered. Geometrical and physical conductivity functions are introduced. It is shown by means of the Moore–Shannon inequality for recursive models that the critical points of these functions coincide. Simple estimates are made for the physical conductivity function. The obtained results are compared with known data on the conductivity of homogeneous lattices.
Received: 25.02.1982
Citation:
V. P. Bovin, V. V. Vas'kin, I. Ya. Shneiberg, “Recursive models in percolation theory”, TMF, 54:2 (1983), 268–276; Theoret. and Math. Phys., 54:2 (1983), 175–181
Linking options:
https://www.mathnet.ru/eng/tmf2119 https://www.mathnet.ru/eng/tmf/v54/i2/p268
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