Impact of site dilution and agent diffusion on the critical behavior of the majority-vote model

Abstract

In this work we study a modified version of the majority-vote model with noise. In particular, we consider a random diluted square lattice for which a site is empty with a probability $r$. In order to analyze the critical behavior of the model, we perform Monte Carlo simulations on lattices with linear sizes up to L=140. By means of a finite-size scaling analysis we estimate the critical noises $q_c$ and the critical ratios $\beta /\nu$, $\gamma /\nu$ and $1/\nu$ for some values of the probability $r$.

This paper has been withdrawn by the author due to an error in the results. Erratum will be published shortly in Physical Review E

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