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arXiv · 1608.07091

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

Agata Fronczak·Piotr Fronczak
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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.

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Agata Fronczak, Piotr Fronczak. 2016-08-25. Exact solution of the isotropic majority-vote model on complete graphs. https://doi.org/10.1103/physreve.96.012304

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