Percolation on the square lattice in a LxM geometry : Analysis of percolation clusters properties
A study of the site percolation model on the square lattice in a L×M geometry at critically is presented. For L≪M one observes the growth of numerous percolation colation clusters in the L-direction in contrast to the absence of percolation in the M-direction. Consequently, relevant properties of th...
Guardado en:
| Autores principales: | , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
1993
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/146216 |
| Aporte de: |
| Sumario: | A study of the site percolation model on the square lattice in a L×M geometry at critically is presented. For L≪M one observes the growth of numerous percolation colation clusters in the L-direction in contrast to the absence of percolation in the M-direction. Consequently, relevant properties of these clusters such us for example the average number of clusters (NCL), the cluster length distribution (P(l,L), with l=cluster length in the M direction) and average cluster length (lCL), are studied by means of the Monte Carlo technique and analyzed on the basis of finite-size scaling arguments. The following behavior is found:NCL≅(3/8) (L/M)−δ, with δ=1; andlCL≅2.0L. Also the distribution P(l, L) is of the exponential-exponential type and their characteristic exponents are evaluated. |
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