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

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.

6 pages, 6 figures, 1 table

References in corpus (6)

• Social applications of two-dimensional Ising models
• Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices
• Ising antiferromagnet on the Archimedean lattices
• The importance of the Ising model
• Majority-vote model on triangular, honeycomb and Kagome lattices
• Critical phenomena of the Majority voter model in a three dimensional cubic lattice

Cited by in corpus (3)

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