Critical Short-Time Behavior of Majority-Vote Model on Scale-Free Networks
| Autor: | Alencar, D. S. M., Neto, J. F. S., Alves, T. F. A., Lima, F. W. S., Ferreira, R. S., Alves, G. A., Macedo-Filho, A. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We discuss the short-time behavior of the majority vote dynamics on scale-free networks at the critical threshold. We introduce a heterogeneous mean-field theory on the critical short-time behavior of the majority-vote model on scale-free networks. In addition, we also compare the heterogeneous mean-field predictions with extensive Monte Carlo simulations of the short-time dependencies of the order parameter and the susceptibility. We obtained a closed expression for the dynamical exponent $z$ and the time correlation exponent $\nu_\parallel$. Short-time scaling is compatible with a non-universal critical behavior for $5/2 < \gamma < 7/2$, and for $\gamma \geq 7/2$, we have the mean-field Ising criticality with additional logarithmic corrections for $\gamma=7/2$, in the same way as the stationary scaling. Comment: 10 pages, 3 figures, 24 references |
| Databáze: | arXiv |
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