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

TL;DR

This study investigates the phase transition behavior of the majority-vote model with noise on Archimedean lattices, confirming its universality class and emphasizing the importance of precise critical noise determination.

Contribution

The paper provides the first high-precision analysis of critical noise and exponents for the majority-vote model on all Archimedean lattices, confirming its universality class.

Findings

Majority-vote model belongs to the 2D Ising universality class on Archimedean lattices.

Critical noise values were determined with unprecedented accuracy.

Precise critical noise estimation is essential for correct critical exponent values.

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.