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

Nuno Crokidakis; Paulo Murilo Castro de Oliveira

doi:10.1103/PhysRevE.85.041147

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

Physics and Society 2012-07-06 v2 Disordered Systems and Neural Networks Statistical Mechanics

Authors: Nuno Crokidakis , Paulo Murilo Castro de Oliveira

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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 $r$ .

Keywords

majority-vote model site dilution agent diffusion critical behavior Monte Carlo simulations finite-size scaling critical noise

Cite

@article{arxiv.1204.3885,
  title  = {Impact of site dilution and agent diffusion on the critical behavior of the majority-vote model},
  author = {Nuno Crokidakis and Paulo Murilo Castro de Oliveira},
  journal= {arXiv preprint arXiv:1204.3885},
  year   = {2012}
}

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This paper has been withdrawn by the author due to an error in the results.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

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

Abstract

Keywords

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