Directed spiral site percolation on the square lattice
نویسندگان
چکیده
منابع مشابه
Temporally Disordered Bond Percolation on the Directed Square Lattice.
Simple models of directed bond percolation with temporal disorder are introduced and studied via series expansions and Monte Carlo simulations. Series have been derived for the percolation probability on the directed square lattice. Analysis of the series revealed that the critical exponent b and critical point pc change continuously with the strength of the disorder. Monte Carlo simulation con...
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We prove that AB site percolation occurs on the line graph of the square lattice when p ∈ (1− √ 1− pc, √ 1− pc), where pc is the critical probability for site percolation in Z. Also, we prove that AB bond percolation does not occur on Z for p = 1 2 .
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We report site percolation thresholds for square lattice with neighbor bonds at various increasing ranges. Using Monte Carlo techniques we found that nearest neighbors (NN), next-nearest neighbors (NNN), next-next-nearest neighbors (4N), and fifth-nearest neighbors (6N) yield the same pc = 0.592... . The fourth-nearest neighbors (5N) give pc = 0.298... . This equality is proved to be mathematic...
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We study directed percolation on a 2D triangular lattice where the forward direction is perpendicular to one of the lattice axes. In addition to the geometrical description, an equivalent dynamic description of the model is presented. Simulations are performed based on an algorithm from the dynamic description to obtain the critical probability of bond occupation as pc ≈ 0.522. A mean field the...
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Vertices (sites), open with the smallest probability pH , percolate when they form an infinite open path from graph’s origin v0, [2]. Usually, pH values are approximated, but there are a few instances of special lattices with the exact results, [1]. In finite graph Z k , d pairs of opposite arcs are k edges away from v0, Fig. 1 (left). Basis of edges B(Z) and the integers ai(v) assign the place...
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ژورنال
عنوان ژورنال: The European Physical Journal B - Condensed Matter
سال: 2003
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2003-00143-2