Exact solution of the isotropic majority-vote model on complete graphs

Abstract

The isotropic majority-vote (MV) model which, apart from the one-dimensional case, is thought to be non-equilibrium and violating the detailed balance condition. We show that this is not true, when the model is defined on a complete graph. In the stationary regime, the MV model on a fully connected graph fulfills the detailed balance. We derive the exact expression for the probability distribution of finding the system in a given spin configuration. We show that it only depends on the absolute value of magnetization. Our theoretical predictions are validated by numerical simulations.

11 pages, 3 figures

References in corpus (5)

• Critical noise of majority-vote model on complex networks
• Majority-vote model on triangular, honeycomb and Kagome lattices
• Critical phenomena of the Majority voter model in a three dimensional cubic lattice
• Phase transition in the majority-vote model on the Archimedean lattices
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