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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/2508.01327 |
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| _version_ | 1866913972263845888 |
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| author | Chhimpa, Rahul Singh, Abha Yadav, Avinash Chand |
| author_facet | Chhimpa, Rahul Singh, Abha Yadav, Avinash Chand |
| contents | The Bak-Sneppen (BS) evolution model remains a well-studied example of self-organized criticality (SOC). We propose a simple variant of the BS model, where the global fitness fluctuations show $1/f^α$ noise with a spectral exponent nearly equal to 1 (pink noise). To further corroborate, we compute the two-time autocorrelation function that decays logarithmically. The $1/f$ noise in the global fitness is robust and hyper-universal. We identify the dominance of non-trivial local fitness cross-power spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01327 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $1/f$ noise in extremal dynamics Chhimpa, Rahul Singh, Abha Yadav, Avinash Chand Statistical Mechanics The Bak-Sneppen (BS) evolution model remains a well-studied example of self-organized criticality (SOC). We propose a simple variant of the BS model, where the global fitness fluctuations show $1/f^α$ noise with a spectral exponent nearly equal to 1 (pink noise). To further corroborate, we compute the two-time autocorrelation function that decays logarithmically. The $1/f$ noise in the global fitness is robust and hyper-universal. We identify the dominance of non-trivial local fitness cross-power spectra. |
| title | $1/f$ noise in extremal dynamics |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2508.01327 |