Site-Percolation Models Including Heterogeneous Particles on a Square Lattice
نویسندگان
چکیده
منابع مشابه
On AB bond percolation on the square lattice and AB site percolation on its line graph
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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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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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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In this paper, we study the electronic conductance of a nanoribbon with square lattice by using Green’s function theory within the tight-binding approach. For this purpose, we separate the conductance modes in the ideal parts by using a suitable unitary transformation in order to obtain the analytic formula for the corresponding self-energies. Then, we present a fast computer algorithm based on...
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ژورنال
عنوان ژورنال: Materials Transactions, JIM
سال: 1999
ISSN: 0916-1821,2432-471X
DOI: 10.2320/matertrans1989.40.1314