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Title: Potts Model in One-Dimension on Directed Small-World Networks

Abstract

The critical properties of the Potts model with q=3 and 8 states in one-dimension on directed small-world networks are investigated. This disordered system is simulated by updating it with the Monte Carlo heat bath algorithm. The Potts model on these directed small-world networks presents in fact a second-order phase transition with a new set of critical exponents for q=3 considering a rewiring probability p=0.1. For q=8 the system exhibits only a first-order phase transition independent of p.

Authors:
;  [1]
  1. Universidade Federal do Piauí, Dietrich Stauffer Computational Physics Lab, Departamento de Física (Brazil)
Publication Date:
OSTI Identifier:
22788114
Resource Type:
Journal Article
Journal Name:
Journal of Statistical Physics
Additional Journal Information:
Journal Volume: 171; Journal Issue: 6; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-4715
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; COMPUTERIZED SIMULATION; LOCAL AREA NETWORKS; MONTE CARLO METHOD; PHASE TRANSFORMATIONS; PROBABILITY

Citation Formats

Aquino, Édio O., Lima, F. W. S.,, Araújo, Ascânio D., E-mail: ascanio@fisica.ufc.br, and Costa Filho, Raimundo N., E-mail: rai@fisica.ufc.br. Potts Model in One-Dimension on Directed Small-World Networks. United States: N. p., 2018. Web. doi:10.1007/S10955-018-2046-5.
Aquino, Édio O., Lima, F. W. S.,, Araújo, Ascânio D., E-mail: ascanio@fisica.ufc.br, & Costa Filho, Raimundo N., E-mail: rai@fisica.ufc.br. Potts Model in One-Dimension on Directed Small-World Networks. United States. https://doi.org/10.1007/S10955-018-2046-5
Aquino, Édio O., Lima, F. W. S.,, Araújo, Ascânio D., E-mail: ascanio@fisica.ufc.br, and Costa Filho, Raimundo N., E-mail: rai@fisica.ufc.br. Fri . "Potts Model in One-Dimension on Directed Small-World Networks". United States. https://doi.org/10.1007/S10955-018-2046-5.
@article{osti_22788114,
title = {Potts Model in One-Dimension on Directed Small-World Networks},
author = {Aquino, Édio O. and Lima, F. W. S., and Araújo, Ascânio D., E-mail: ascanio@fisica.ufc.br and Costa Filho, Raimundo N., E-mail: rai@fisica.ufc.br},
abstractNote = {The critical properties of the Potts model with q=3 and 8 states in one-dimension on directed small-world networks are investigated. This disordered system is simulated by updating it with the Monte Carlo heat bath algorithm. The Potts model on these directed small-world networks presents in fact a second-order phase transition with a new set of critical exponents for q=3 considering a rewiring probability p=0.1. For q=8 the system exhibits only a first-order phase transition independent of p.},
doi = {10.1007/S10955-018-2046-5},
url = {https://www.osti.gov/biblio/22788114}, journal = {Journal of Statistical Physics},
issn = {0022-4715},
number = 6,
volume = 171,
place = {United States},
year = {2018},
month = {6}
}