Critical short-time behavior of majority-vote model on scale-free networks

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Abstract
We discuss the short-time behavior of the majority vote dynamics on scale-free networks at the critical threshold. A heterogeneous mean-field theory on the critical short-time behavior of the majority-vote model on scale-free networks is introduced. In addition, the heterogeneous mean-field predictions are compared with extensive Monte Carlo simulations of the short-time dependencies of the order parameter and the susceptibility. Closed expressions of the dynamical exponent z and the time correlation exponent nu(||) are obtained. The short-time scaling is compatible with a nonuniversal critical behavior for 5/2 < gamma < 7/2. However, for gamma >= 7/2, we have the mean-field Ising criticality with additional logarithmic corrections for gamma = 7/2, the same as the stationary scaling.
Funding Information
  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico
  • Fundação de Amparo à Pesquisa do Estado do Piauí

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