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Matematicheskoe modelirovanie, 2015, Volume 27, Number 12, Pages 88–95 (Mi mm3680)  
Mixed problem in the one-dimensional percolation theory for finite systems

M. G. Usatova, R. A. Kozlitin, V. N. Udodov

Katanov Khakas State University
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Abstract: The mathematical model of a one-dimensional mixed problem with use of the theory of counts is viewed at arbitrary radius of a percolation. A new algorithm to determine the percolation threshold of the mixed problem of the one-dimensional percolation theory. The model can be use at interpretation of results in quasi-one-dimensional nanometer systems.
Keywords: percolation theory, bond problem, site problem, mixed problem, theory of counts, cluster, critical exponent of specific heat.
Received: 10.11.2014
Bibliographic databases:
Document Type: Article
UDC: 531.19,519.24
Language: Russian
Citation: M. G. Usatova, R. A. Kozlitin, V. N. Udodov, “Mixed problem in the one-dimensional percolation theory for finite systems”, Mat. Model., 27:12 (2015), 88–95
Citation in format AMSBIB
\Bibitem{UsaKozUdo15}
\by M.~G.~Usatova, R.~A.~Kozlitin, V.~N.~Udodov
\paper Mixed problem in the one-dimensional percolation theory for finite systems
\jour Mat. Model.
\yr 2015
\vol 27
\issue 12
\pages 88--95
\mathnet{http://mi.mathnet.ru/mm3680}
\elib{https://elibrary.ru/item.asp?id=25707590}
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