Short-time dynamic in the Majority vote model: The ordered and disordered initial cases

TL;DR

This paper investigates the short-time dynamics of the two-dimensional Majority-vote model from different initial states, identifying pseudo-critical points and proposing a method to evaluate critical exponents based on initial condition dependence.

Contribution

It introduces a novel approach to determine pseudo-critical points and critical exponents in the Majority-vote model by analyzing initial condition effects in short-time Monte Carlo simulations.

Findings

Identified two pseudo-critical points consistent with previous methods.

Demonstrated dependence of short-time dynamics on initial states.

Proposed a new method for evaluating critical exponents from initial condition effects.

Abstract

This work presents short-time Monte Carlo simulations for the two dimensional Majority-vote model starting from ordered and disordered states. It has been found that there are two pseudo-critical points, each one within the error-bar range of previous reported values performed using fourth order cumulant crossing method. The results show that the short-time dynamic for this model has a dependence on the initial conditions. Based on this dependence a method is proposed for the evaluation of the pseudo critical points and the extraction of the dynamical critical exponent $z$ and the static critical exponent $\beta/\nu$ for this model.