Critical phenomena of the Majority voter model in a three dimensional cubic lattice

TL;DR

This study examines the critical behavior of the three-dimensional Majority voter model on a cubic lattice, using numerical simulations to accurately determine the critical point and critical exponents.

Contribution

It provides a more precise estimate of the critical point and confirms that the critical exponents match those of the 3D Ising model, enhancing understanding of phase transitions in voter models.

Findings

Critical point determined with higher accuracy.

Critical exponents match those of the 3D Ising model.

Supports universality class equivalence.

Abstract

In this work we investigate the critical behavior of the three dimensional simple-cubic Majority voter model. Using numerical simulations and a combination of two different cumulants we evaluated the critical point with a higher accuracy than the previous numerical result found by Yang et al. [J.- S. Yang, I.-M. Kim and W. Kwak, Phys. Rev. E 77, 051122 (2008)]. Using standard Finite Size Scaling theory and scaling corrections we find that the critical exponents {\nu}, {\gamma} and {\beta} are the same as those of the three dimensional Ising model.