English

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

Statistical Mechanics 2017-01-26 v1

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.

Keywords

Cite

@article{arxiv.1612.03503,
  title  = {Phase transition in the majority-vote model on the Archimedean lattices},
  author = {Unjong Yu},
  journal= {arXiv preprint arXiv:1612.03503},
  year   = {2017}
}

Comments

6 pages, 6 figures, 1 table