Percolation Transition for Random Walk with Non-local Movements
Autor: | M Feshanjerdi, A A Saberi |
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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 |
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