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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2009 Volume 21, Number 8, Pages 100–107 (Mi mm2870)

This article is cited in 1 paper

Directional percolation of dimer on simple cubic lattice

V. A. Cherkasova, Yu. Yu. Tarasevich

Astrakhan State University

Abstract: We consider the model dimer (extended objects of the size 2) of site directional percolation on simple cubic lattice. The percolation threshold is estimated as $p_c=0.27961\pm0.00004$ for unidirectional percolation problem, and $p_c=0.26192\pm0.00004$ for bidirectional percolation problem. The jamming threshold is estimated as $p_\mathrm{jam}=0.827\pm0.002$ for unidirectional percolation problem, and $p_\mathrm{jam}=0.839\pm0.001$ for bidirectional percolation problem.

Received: 09.06.2008



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