Majority-vote model on a dynamic small-world network

Thomas E. Stone and Susan R. McKay

Physica A: Statistical Mechanics and its Applications, 2015, vol. 419, issue C, 437-443

Abstract: Dynamic small-world networks combine short-range interactions within a fixed neighborhood with stochastic long-range interactions. The probability of a long-range link occurring instead of a short-range one is a measure of the mobility of a population. Here, the critical properties of the majority-vote model with noise on a two-dimensional dynamic small-world lattice are investigated via Monte Carlo simulation and finite size scaling analyses. We construct the order–disorder phase diagram and find the critical exponents associated with the continuous phase transition. Findings are consistent with previous results indicating that a model’s transitions on static and dynamic small-world networks are in the same universality class.

Keywords: Majority-vote model; Dynamic small-world network; Universality; Finite-size scaling (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:419:y:2015:i:c:p:437-443

DOI: 10.1016/j.physa.2014.10.032

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