The structure of site percolation models on three-dimensional square lattices

Moskalev P.V.
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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
Citation in English: Moskalev P.V. The structure of site percolation models on three-dimensional square lattices // Computer Research and Modeling, 2013, vol. 5, no. 4, pp. 607-622
Citation in English: Moskalev P.V. The structure of site percolation models on three-dimensional square lattices // Computer Research and Modeling, 2013, vol. 5, no. 4, pp. 607-622
DOI: 10.20537/2076-7633-2013-5-4-607-622
URL: http://crm-en.ics.org.ru/journal/article/2070/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • Pavel Valentinovich Moskalev. Percolation modeling of hydraulic hysteresis in a porous media. // Computer Research and Modeling. — 2014. — V. 6, no. 4. — P. 543. DOI: 10.20537/2076-7633-2014-6-4-543-558
  • Pavel Valentinovich Moskalev. Estimates of threshold and strength of percolation clusters on square lattices with (1,)-neighborhood. // Computer Research and Modeling. — 2014. — V. 6, no. 3. — P. 405. DOI: 10.20537/2076-7633-2014-6-3-405-414
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