Three-state Potts model on non-local directed small-world lattices

Carlos Handrey Araujo Ferraz and José Luiz Sousa Lima

Physica A: Statistical Mechanics and its Applications, 2017, vol. 484, issue C, 488-498

Abstract: In this paper, we study the non-local directed Small-World (NLDSW) disorder effects in the three-state Potts model as a form to capture the essential features shared by real complex systems where non-locality effects play a important role in the behavior of these systems. Using Monte Carlo techniques and finite-size scaling analysis, we estimate the infinite lattice critical temperatures and the leading critical exponents in this model. In particular, we investigate the first- to second-order phase transition crossover when NLDSW links are inserted. A cluster-flip algorithm was used to reduce the critical slowing down effect in our simulations. We find that for a NLDSW disorder densities pKeywords: Small-World lattices; Potts model; Disorder density; Critical exponents; Monte Carlo method (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:484:y:2017:i:c:p:488-498

DOI: 10.1016/j.physa.2017.05.016

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