The phase diagram and critical behavior of the three-state majority-vote model
Citation:
Diogo F F Melo, Luiz F C Pereira and F G B Moreira, The phase diagram and critical behavior of the three-state majority-vote model, JOURNAL OF STATISTICAL MECHANICS - THEORY AND EXPERIMENT, 2010, P11032, 2010Download Item:
Abstract:
The three-state majority-vote model with noise on Erdos-Renyi random graphs has been studied. Using Monte Carlo simulations we obtain the phase diagram, along with the critical exponents. Exact results for limiting cases are presented, and shown to be in agreement with numerical values. We find that the critical noise q(c) is an increasing function of the mean connectivity z of the graph. The critical exponents beta/(v) over bar, gamma/(v) over bar and 1/(v) over bar are calculated for several values of the connectivity. We also study the globally connected network, which corresponds to the mean-field limit z = N - 1 -> infinity. Our numerical results indicate that the correlation length scales with the number of nodes in the graph, which is consistent with an effective dimensionality equal to unity.
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Science Foundation Ireland
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http://people.tcd.ie/pereirlfhttp://people.tcd.ie/pereirlf
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PUBLISHED
Author: PEREIRA, LUIZ FELIPE CAVALCANTI
Publisher:
Institute of PhysicsType of material:
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Series/Report no:
JOURNAL OF STATISTICAL MECHANICS - THEORY AND EXPERIMENT;2010;
P11032;
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Mathematics, Erdos?Renyi modelMetadata
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