Iranian Journal of Physics Research

Percolation Transition for Random Walk with Non-local Movements

Document Type : Original Article

Authors

M Feshanjerdi
A A Saberi

Department of Physics, University of Tehran, Tehran 14395-547, Iran

https://doi.org/10.47176/ijpr.21.3.21171
Abstract
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.

Keywords

Percolation Theory
Universality Class
Random Walk
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