On random walks in percolation models

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Random walks on percolation clusters of any dimension consisting of both directed and undirected bonds are studied. Results conjectured to be exact and supported by Monte Carlo simulation are deduced for the critical parameters of the problem. It is shown that in the undirected case of the model the probabilities of finding the particle in the sites of a finite cluster have a uniform limit distribution.

Original languageEnglish
Article number016
Pages (from-to)1215-1220
Number of pages6
JournalJournal of Physics A: Mathematical and General
Volume16
Issue number6
DOIs
Publication statusPublished - 1983

Fingerprint

random walk
Random walk
Limit Distribution
Uniform distribution
Monte Carlo Simulation
Model
simulation
Monte Carlo simulation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

On random walks in percolation models. / Vicsek, T.

In: Journal of Physics A: Mathematical and General, Vol. 16, No. 6, 016, 1983, p. 1215-1220.

Research output: Contribution to journalArticle

@article{b950bfd8c6aa4aa8939978406e06c200,
title = "On random walks in percolation models",
abstract = "Random walks on percolation clusters of any dimension consisting of both directed and undirected bonds are studied. Results conjectured to be exact and supported by Monte Carlo simulation are deduced for the critical parameters of the problem. It is shown that in the undirected case of the model the probabilities of finding the particle in the sites of a finite cluster have a uniform limit distribution.",
author = "T. Vicsek",
year = "1983",
doi = "10.1088/0305-4470/16/6/016",
language = "English",
volume = "16",
pages = "1215--1220",
journal = "Journal Physics D: Applied Physics",
issn = "0022-3727",
publisher = "IOP Publishing Ltd.",
number = "6",

}

TY - JOUR

T1 - On random walks in percolation models

AU - Vicsek, T.

PY - 1983

Y1 - 1983

N2 - Random walks on percolation clusters of any dimension consisting of both directed and undirected bonds are studied. Results conjectured to be exact and supported by Monte Carlo simulation are deduced for the critical parameters of the problem. It is shown that in the undirected case of the model the probabilities of finding the particle in the sites of a finite cluster have a uniform limit distribution.

AB - Random walks on percolation clusters of any dimension consisting of both directed and undirected bonds are studied. Results conjectured to be exact and supported by Monte Carlo simulation are deduced for the critical parameters of the problem. It is shown that in the undirected case of the model the probabilities of finding the particle in the sites of a finite cluster have a uniform limit distribution.

UR - http://www.scopus.com/inward/record.url?scp=36149039443&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36149039443&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/16/6/016

DO - 10.1088/0305-4470/16/6/016

M3 - Article

AN - SCOPUS:36149039443

VL - 16

SP - 1215

EP - 1220

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 6

M1 - 016

ER -