Percolation Transition for Random Walk with Non-local Movements

In this paper, we introduce a percolation model consisting of random walk movements on a lattice. Random walk not only has local movements, but also has non-local movements on the lattice. We obtain the percolation transitions and critical exponents for this model. Our findings show that the percola...

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Bibliographic Details
Published in:	Iranian Journal of Physics Research Vol. 21; no. 3; pp. 489 - 494
Main Authors:	M Feshanjerdi, A A Saberi
Format:	Journal Article
Language:	English
Published:	Isfahan University of Technology 01-11-2021
Subjects:	percolation theory random walk universality class
Online Access:	Get full text
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Summary:	In this paper, we introduce a percolation model consisting of random walk movements on a lattice. Random walk not only has local movements, but also has non-local movements on the lattice. We obtain the percolation transitions and critical exponents for this model. Our findings show that the percolation threshold decreases with increasing non-local movements. Also, we find the universal scaling functions for the size of the largest gap and biggest cluster by the extreme value theory.
ISSN:	1682-6957 2345-3664