Percolation Transition for Random Walk with Non-local Movements

Autor: M Feshanjerdi, A A Saberi
Jazyk: English<br />Persian
Rok vydání: 2021
Předmět:
Zdroj: Iranian Journal of Physics Research, Vol 21, Iss 3, Pp 489-494 (2021)
Druh dokumentu: article
ISSN: 1682-6957
2345-3664
Popis: 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.
Databáze: Directory of Open Access Journals