Critical Short-Time Behavior of Majority-Vote Model on Scale-Free Networks
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914807966334976 |
|---|---|
| author | 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. |
| author_facet | 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. |
| contents | 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 $ν_\parallel$. Short-time scaling is compatible with a non-universal critical behavior for $5/2 < γ< 7/2$, and for $γ\geq 7/2$, we have the mean-field Ising criticality with additional logarithmic corrections for $γ=7/2$, in the same way as the stationary scaling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14634 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical Short-Time Behavior of Majority-Vote Model on Scale-Free Networks 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. Statistical Mechanics 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 $ν_\parallel$. Short-time scaling is compatible with a non-universal critical behavior for $5/2 < γ< 7/2$, and for $γ\geq 7/2$, we have the mean-field Ising criticality with additional logarithmic corrections for $γ=7/2$, in the same way as the stationary scaling. |
| title | Critical Short-Time Behavior of Majority-Vote Model on Scale-Free Networks |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2405.14634 |