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

preprint2009arXivOpen access

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 zz and the static critical exponent β/νβ/ν for this model.

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