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...

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Detalles Bibliográficos
Autores principales: Monetti, Roberto Adrián, Albano, Ezequiel Vicente
Formato: Articulo
Lenguaje:Inglés
Publicado: 1993
Materias:
Física
Spectroscopy
Neural Network
State Physics
Complex System
Nonlinear Dynamics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/146216
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-146216
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Spectroscopy
Neural Network
State Physics
Complex System
Nonlinear Dynamics
spellingShingle Física
Spectroscopy
Neural Network
State Physics
Complex System
Nonlinear Dynamics
Monetti, Roberto Adrián
Albano, Ezequiel Vicente
Percolation on the square lattice in a LxM geometry : Analysis of percolation clusters properties
topic_facet Física
Spectroscopy
Neural Network
State Physics
Complex System
Nonlinear Dynamics
description 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.
format Articulo
Articulo
author Monetti, Roberto Adrián
Albano, Ezequiel Vicente
author_facet Monetti, Roberto Adrián
Albano, Ezequiel Vicente
author_sort Monetti, Roberto Adrián
title Percolation on the square lattice in a LxM geometry : Analysis of percolation clusters properties
title_short Percolation on the square lattice in a LxM geometry : Analysis of percolation clusters properties
title_full Percolation on the square lattice in a LxM geometry : Analysis of percolation clusters properties
title_fullStr Percolation on the square lattice in a LxM geometry : Analysis of percolation clusters properties
title_full_unstemmed Percolation on the square lattice in a LxM geometry : Analysis of percolation clusters properties
title_sort percolation on the square lattice in a lxm geometry : analysis of percolation clusters properties
publishDate 1993
url http://sedici.unlp.edu.ar/handle/10915/146216
work_keys_str_mv AT monettirobertoadrian percolationonthesquarelatticeinalxmgeometryanalysisofpercolationclustersproperties
AT albanoezequielvicente percolationonthesquarelatticeinalxmgeometryanalysisofpercolationclustersproperties
bdutipo_str Repositorios
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