$1/φ$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914978672410624 |
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| author | Shapoval, Alexander Shnirman, Mikhail |
| author_facet | Shapoval, Alexander Shnirman, Mikhail |
| contents | With the original Bak-Tang-Wisenefeld (BTW) sandpile we uncover the $1/φ$ noise in the mechanism maintaining self-organized criticality (SOC) - the question raised together with the concept of SOC. We posit that the dynamics of stress in the BTW sandpile follows quasi-cycles of graduate stress accumulation that end up with an abrupt stress-release and the drop of the system to subcritical state. In thermodynamic limit, the intra-cycle dynamics exhibits the $1/φ$ spectrum that extends infinitely and corresponds to the stress-release within the critical state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_14726 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | $1/φ$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile Shapoval, Alexander Shnirman, Mikhail Statistical Mechanics Adaptation and Self-Organizing Systems With the original Bak-Tang-Wisenefeld (BTW) sandpile we uncover the $1/φ$ noise in the mechanism maintaining self-organized criticality (SOC) - the question raised together with the concept of SOC. We posit that the dynamics of stress in the BTW sandpile follows quasi-cycles of graduate stress accumulation that end up with an abrupt stress-release and the drop of the system to subcritical state. In thermodynamic limit, the intra-cycle dynamics exhibits the $1/φ$ spectrum that extends infinitely and corresponds to the stress-release within the critical state. |
| title | $1/φ$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile |
| topic | Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2212.14726 |