Short time dynamics of a two dimensional majority vote model

TL;DR

This paper investigates the short-time dynamics of a two-dimensional majority vote model, confirming its critical behavior aligns with the kinetic Ising universality class through Monte Carlo simulations.

Contribution

It demonstrates the existence of an initial critical slip regime and measures dynamic exponents, establishing the model's universality class.

Findings

Initial critical slip regime verified

Dynamic exponents match kinetic Ising model

Model exhibits expected universality class behavior

Abstract

Short time Monte Carlo methods are used to study the nonequilibrium ferromagnetic phase transition in a majority vote model in two dimensions. The existance of an initial critical slip regime is verified. The measured values of dyamic exponents $z=2.170(5)$ and $\theta = 0.191(2)$ are in excellent agreement with those of the kinetic Ising model universality class.