Percolation under rotational constraint is studied on the square and triangular lattices by three different methods: finite-size scaling study, Monte Carlo simulation and series expansion. The critical percolation probability p<SUB>c</SUB> and some critical exponents are determined. Evidence is obtained for a scaling form of the cluster distribution function. For the square lattice, the average cluster size exponent gamma is found to be equal to that of directed percolation
We show that for critical site percolation on the triangular lattice two new observables have confor...
The understanding of site percolation on the triangular lattice progressed greatly in the last decad...
この論文は国立情報学研究所の電子図書館事業により電子化されました。In this paper, we briefly review our recent results in the calculat...
The scaling behaviour of the percolation hull rotationally constrained site percolation on the squar...
A new site percolation model, directed spiral percolation (DSP), under both directional and rotation...
A percolation model, spiral percolation, in which a rotational constraint is operative is studied by...
Directed spiral percolation (DSP), percolation under both directional and rotational constraints, is...
A generalization of the pure site and pure bond percolation problems called site–bond percolation on...
Abstract. We have derived long-series expansions of the percolation probability for site, bond and s...
Abstract. Cluster statistics in two- and three-dimensional site percolation problems are derived her...
Shifting of percolation threshold of an elongated lattice towards higher values is shown by the stat...
The critical probability for site percolation on the square lattice is not known exactly. Several au...
We derive scaling laws for the percolation properties of an elongated lattice, i.e., those with dime...
We derive three critical exponents for Bernoulli site percolation on the Uniform Infinite Planar Tri...
A study of the site percolation model on the square lattice in a L×M geometry at critically is prese...
We show that for critical site percolation on the triangular lattice two new observables have confor...
The understanding of site percolation on the triangular lattice progressed greatly in the last decad...
この論文は国立情報学研究所の電子図書館事業により電子化されました。In this paper, we briefly review our recent results in the calculat...
The scaling behaviour of the percolation hull rotationally constrained site percolation on the squar...
A new site percolation model, directed spiral percolation (DSP), under both directional and rotation...
A percolation model, spiral percolation, in which a rotational constraint is operative is studied by...
Directed spiral percolation (DSP), percolation under both directional and rotational constraints, is...
A generalization of the pure site and pure bond percolation problems called site–bond percolation on...
Abstract. We have derived long-series expansions of the percolation probability for site, bond and s...
Abstract. Cluster statistics in two- and three-dimensional site percolation problems are derived her...
Shifting of percolation threshold of an elongated lattice towards higher values is shown by the stat...
The critical probability for site percolation on the square lattice is not known exactly. Several au...
We derive scaling laws for the percolation properties of an elongated lattice, i.e., those with dime...
We derive three critical exponents for Bernoulli site percolation on the Uniform Infinite Planar Tri...
A study of the site percolation model on the square lattice in a L×M geometry at critically is prese...
We show that for critical site percolation on the triangular lattice two new observables have confor...
The understanding of site percolation on the triangular lattice progressed greatly in the last decad...
この論文は国立情報学研究所の電子図書館事業により電子化されました。In this paper, we briefly review our recent results in the calculat...
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