Abstract
Within the field formulation of the renormalization group (RG) method, an expression for the Fourier transform of the integral kernel of the effective conductivity of a randomly heterogeneous porous medium is obtained. In the large-scale limit, the result obtained corresponds to the well-known Landau-Lifshits-Matheron formula. The validity of the technical tricks applied to the calculations performed within the RG approach is discussed.
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 1, 2002, pp. 79–89.
Original Russian Text Copyright © 2002 by Teodorovich.
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Teodorovich, E.V. Renormalization group method in the problem of the effective conductivity of a randomly heterogeneous porous medium. J. Exp. Theor. Phys. 95, 67–76 (2002). https://doi.org/10.1134/1.1499903
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DOI: https://doi.org/10.1134/1.1499903