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This article is cited in 1 scientific paper (total in 1 paper)
The coherent potential method in the diffusion problem on a random substitution lattice
M. P. Fateev National Science Centre Kharkov Institute of Physics and Technology
Abstract:
Based on the balance equation, we consider the diffusion problem
on a hyperlattice with randomly distributed inaccessible sites. Using diagram
methods, we find a self-consistent expression for the configurationally
averaged Green's function in the coherent potential approximation. We show
that this approach is applicable in a broad range of concentrations of
accessible sites. Using this approximation, we find the exact asymptotic form
of the static diffusion coefficient for a low concentration of blocked sites.
This allows making good estimates of the percolation threshold in the random-site
diffusion problem on an arbitrary hyperlattice.
Keywords:
coherent potential method, Green's function, diffusion, percolation, random site problem, diagram method.
Received: 01.05.2006
Citation:
M. P. Fateev, “The coherent potential method in the diffusion problem on a random substitution lattice”, TMF, 149:2 (2006), 252–261; Theoret. and Math. Phys., 149:2 (2006), 1519–1526
Linking options:
https://www.mathnet.ru/eng/tmf4232https://doi.org/10.4213/tmf4232 https://www.mathnet.ru/eng/tmf/v149/i2/p252
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