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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.03705 |
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| _version_ | 1866912179236634624 |
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| author | Chhimpa, Rahul Singh, Abha Yadav, Avinash Chand |
| author_facet | Chhimpa, Rahul Singh, Abha Yadav, Avinash Chand |
| contents | We investigate correlation time numerically in extremal self-organized critical models, namely, the Bak-Sneppen evolution and the Robin Hood dynamics. The (fitness) correlation time is the duration required for the extinction or mutation of species over the entire spatial region in the critical state. We apply the methods of finite-size scaling and extreme value theory to understand the statistics of the correlation time. We find power-law system size scaling behaviors for the mean, the variance, the mode, and the peak probability of the correlation time. We obtain data collapse for the correlation time cumulative probability distribution, and the scaling function follows the generalized extreme value density close to the Gumbel function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03705 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Correlation time in extremal self-organized critical models Chhimpa, Rahul Singh, Abha Yadav, Avinash Chand Statistical Mechanics We investigate correlation time numerically in extremal self-organized critical models, namely, the Bak-Sneppen evolution and the Robin Hood dynamics. The (fitness) correlation time is the duration required for the extinction or mutation of species over the entire spatial region in the critical state. We apply the methods of finite-size scaling and extreme value theory to understand the statistics of the correlation time. We find power-law system size scaling behaviors for the mean, the variance, the mode, and the peak probability of the correlation time. We obtain data collapse for the correlation time cumulative probability distribution, and the scaling function follows the generalized extreme value density close to the Gumbel function. |
| title | Correlation time in extremal self-organized critical models |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2501.03705 |