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arXiv · 1612.03503

Phase transition in the majority-vote model on the Archimedean lattices

Unjong Yu
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Abstract

The majority-vote model with noise was studied on the eleven Archimedean lattices by the Monte-Carlo method and the finite-size scaling. The critical noises and the critical exponents were obtained with unprecedented precision. Contrary to some previous reports, we confirmed that the majority-vote model on the Archimedean lattices belongs to the two-dimensional Ising universality class. It was shown that very precise determination of the critical noise is required to obtain proper values of the critical exponents.

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Unjong Yu. 2016-12-12. Phase transition in the majority-vote model on the Archimedean lattices. https://doi.org/10.1103/physreve.95.012101

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