Rigidity 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 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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The randomly diluted elastic network with central force interactions is simulated on the triangular lattice using a constraint analysis of cluster displacement vectors. The exponents for the percolation of splay and total rigidity are found to be the same, ν=1.14±0.1, γ=1.6±0.3, and β=0.46±0.4. The concentration of bonds that are in clusters rigid only with respect to a splay deformation is eva...
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We prove the statement in the title of the paper.
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2011
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/96/54002