Gutenberg-Richter-like relations in physical systems
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911328063455232 |
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| author | Duplat, K. Varas, G. Ramos, O. |
| author_facet | Duplat, K. Varas, G. Ramos, O. |
| contents | We analyze regional earthquake energy statistics from the Southern California and Japan seismic catalogs and find scale-invariant energy distributions characterized by an exponent $τ\simeq 1.67$. To quantify how closely scale-invariant dynamics with different exponent values resemble real earthquakes, we generate synthetic energy distributions over a wide range of $τ$ under conditions of constant activity. Earthquake-like behavior, in a broad sense, is obtained for $1.5 \leqslant τ< 2.0$. When energy variations are further restricted to be within a factor of ten relative to real earthquakes, the admissible range narrows to $1.58 \leqslant τ\leqslant 1.76$. We identify the physical mechanisms governing the dynamics in the different regimes: fault dynamics characterized by a balance between slow energy accumulation and release through scale-free events in the earthquake-like regime; externally supplied energy relative to a slowly driven fault for $τ< 1.5$; and dominance of small events in the energy budget for $τ> 2$ |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_17615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gutenberg-Richter-like relations in physical systems Duplat, K. Varas, G. Ramos, O. Statistical Mechanics Disordered Systems and Neural Networks Geophysics We analyze regional earthquake energy statistics from the Southern California and Japan seismic catalogs and find scale-invariant energy distributions characterized by an exponent $τ\simeq 1.67$. To quantify how closely scale-invariant dynamics with different exponent values resemble real earthquakes, we generate synthetic energy distributions over a wide range of $τ$ under conditions of constant activity. Earthquake-like behavior, in a broad sense, is obtained for $1.5 \leqslant τ< 2.0$. When energy variations are further restricted to be within a factor of ten relative to real earthquakes, the admissible range narrows to $1.58 \leqslant τ\leqslant 1.76$. We identify the physical mechanisms governing the dynamics in the different regimes: fault dynamics characterized by a balance between slow energy accumulation and release through scale-free events in the earthquake-like regime; externally supplied energy relative to a slowly driven fault for $τ< 1.5$; and dominance of small events in the energy budget for $τ> 2$ |
| title | Gutenberg-Richter-like relations in physical systems |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Geophysics |
| url | https://arxiv.org/abs/2512.17615 |