Abstract:
In this paper we consider the structure of site percolation models on three-dimensional square lattices with various shapes of (1, π)-neighborhood. For these models, are proposed iso- and anisotropic modifications of the invasion percolation algorithm with (1, 0)- and (1, π)-neighborhoods. All the above algorithms are special cases of the anisotropic invasion percolation algorithm on the n-dimensional lattice with a (1, π)-neighborhood. This algorithm is the basis for the package SPSL, released under GNU GPL-3 using the free programming language R.
Keywords:
site percolation, n-dimensional square lattice, non-metric Minkowski distance, R programming language, SPSL package.
Received: 23.05.2013 Revised: 04.07.2013
Document Type:
Article
UDC:519.676
Language: Russian
Citation:
P. V. Moskalev, “The structure of site percolation models on three-dimensional square lattices”, Computer Research and Modeling, 5:4 (2013), 607–622
\Bibitem{Mos13}
\by P.~V.~Moskalev
\paper The structure of site percolation models on three-dimensional square lattices
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 4
\pages 607--622
\mathnet{http://mi.mathnet.ru/crm422}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-4-607-622}
Linking options:
https://www.mathnet.ru/eng/crm422
https://www.mathnet.ru/eng/crm/v5/i4/p607
This publication is cited in the following 5 articles:
D. V. Alekseev, G. A. Kazunina, “Soputstvuyuschaya klasternaya struktura, formiruemaya algoritmom Khammersli–Lisa–Aleksandrovitsa pri generatsii perkolyatsionnykh klasterov”, PDM, 2020, no. 47, 117–127
P.V. Moskalev, “Convergence of percolation probability functions to cumulative distribution functions on square lattices with (1,0)-neighborhood”, Physica A: Statistical Mechanics and its Applications, 553 (2020), 124657
Iraida Stanovska, Oleksandr Stanovskyi, Igor Saukh, “INFORMATION TECHNOLOGY OF PROBLEMS SOLUTIONS SUPPORT IN A COMPLEX SYSTEM MANAGEMENT”, EUREKA: Physics and Engineering, 3 (2020), 30
P. V. Moskalev, “Perkolyatsionnoe modelirovanie gidravlicheskogo gisterezisa v poristoi srede”, Kompyuternye issledovaniya i modelirovanie, 6:4 (2014), 543–558
P. V. Moskalev, “Estimates of threshold and strength of percolation clusters on squarelattices with (1, π)-neighborhood”, Computer Research and Modeling, 6:3 (2014), 405–414
Citation in format AMSBIB
Contact us: