Potts model with q=3 and 4 states on directed Small-World network

Monte Carlo simulations are performed to study the two-dimensional Potts models with q=3 and 4 states on directed Small-World network. The disordered system is simulated applying the Heat bath Monte Carlo update algorithm. A first-order and second-order phase transition is found for q=3 depending on...

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Bibliographic Details
Published inarXiv.org
Main Authors P R O da Silva, Lima, F W S, Costa Filho, R N
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.07.2012
Subjects
Algorithms
Computer simulation
Diffraction
Phase transitions
Physics - Disordered Systems and Neural Networks
Physics - Statistical Mechanics
Rewiring
Two dimensional models
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Summary:Monte Carlo simulations are performed to study the two-dimensional Potts models with q=3 and 4 states on directed Small-World network. The disordered system is simulated applying the Heat bath Monte Carlo update algorithm. A first-order and second-order phase transition is found for q=3 depending on the rewiring probability \(p\), but for q=4 the system presents only a first-order phase transition for any value \(p\) . This critical behavior is different from the Potts model on a square lattice, where the second-order phase transition is present for \(q\le4\) and a first-order phase transition is present for q>4.
ISSN:2331-8422
DOI:10.48550/arxiv.1207.4430