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Matematicheskoe modelirovanie, 2012, Volume 24, Number 11, Pages 72–82 (Mi mm3241)  

This article is cited in 1 scientific paper (total in 1 paper)

Simulation of the bond problem of the one-dimensional percolation theory on the nondirectional count

M. A. Bureevaab, V. N. Udodova

a Khakas State University after N. F. Katanov
b Khakas Technical Institute
Full-text PDF (355 kB) Citations (1)
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Abstract: The mathematical model of the solution of an one-dimensional bond problem with use of the theory of counts is viewed at arbitrary radius of a percolation. The new algorithm of tagging-out of the clusters is offered, allowing on a matrix of a contiguity of the nondirectional count to spot course presence in a chain. Within the framework of this model there is possible a solution of an one-dimensional bond problem without construction of a coating lattice for the finite size systems. The model can be used at examination hopping conductance in semiconductors and the anomalous diffusion at low temperatures, and also at interpretation of experimental data in nanometer and mesoscopic systems.
Keywords: percolation theory, one-dimensional bond problem, cluster, theory of counts, critical exponents, scaling hypothesis.
Received: 19.04.2011
Revised: 13.03.2012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Bureeva, V. N. Udodov, “Simulation of the bond problem of the one-dimensional percolation theory on the nondirectional count”, Matem. Mod., 24:11 (2012), 72–82
Citation in format AMSBIB
\Bibitem{BurUdo12}
\by M.~A.~Bureeva, V.~N.~Udodov
\paper Simulation of the bond problem of the one-dimensional percolation theory on the nondirectional count
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 11
\pages 72--82
\mathnet{http://mi.mathnet.ru/mm3241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3112656}
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  • https://www.mathnet.ru/eng/mm3241
  • https://www.mathnet.ru/eng/mm/v24/i11/p72
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:882
    Full-text PDF :534
    References:93
    First page:23
     
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