Ising model with spins S = 1/2 and 1 on directed and undirected Erdös–Rényi random graphs

Lima, F. W. and Sumour, Muneer A. (2012) Ising model with spins S = 1/2 and 1 on directed and undirected Erdös–Rényi random graphs. Physica A, 391 (4). pp. 948-953. ISSN 0378-4371

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Abstract

Using Monte Carlo simulations, we study the Ising model with spin S = 1/2 and 1 on directed and undirected Erdös–Rényi (ER) random graphs, with z neighbors for each spin. In the case with spin S = 1/2, the undirected and directed ER graphs present a spontaneous magnetization in the universality class of mean field theory, where in both directed and undirected ER graphs the model presents a spontaneous magnetization at p = z/N(z = 2, 3, . . . , N), but no spontaneous magnetization at p = 1/N which is the percolation threshold. For both directed and undirected ER graphs with spin S = 1, we find a first-order phase transition for z = 4 and 9 neighbors

Item Type: Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering, Science and Mathematics > School of Physics
Depositing User: د. منير احمد عبد القادر سمور
Date Deposited: 02 Apr 2018 07:41
Last Modified: 02 Apr 2018 07:41
URI: http://scholar.alaqsa.edu.ps/id/eprint/584

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