Role of non-extensivity $q$-parameter in tectonic seismic forecasting
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913978757677056 |
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| author | Sotolongo-Costa, Oscar Mora-Ramos, Miguel Eduardo |
| author_facet | Sotolongo-Costa, Oscar Mora-Ramos, Miguel Eduardo |
| contents | By writing total Tsallis entropy as a function of non-extensivity q-parameter withing the fragment-asperity model for earthquakes, a critical range of values is identified: 1.4 <q< 1.8. It comes directly from constructing the non-extensive entropy with the assumption that the energy of stress-bearing interactions, which the probability distribution depends on, is proportional to the surface of contact. Such interval of q-values corresponds to the strong variation of entropy and contains the most of reported results for this parameter determined for main-shocks around the world in recent decades, indicating the role of q as a seismic risk factor. Although this knowledge is clearly not enough to elaborate a procedure to predict the occurrence of intense and devastating tectonic earthquakes, it may serve as a relevant element of consideration. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_04932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Role of non-extensivity $q$-parameter in tectonic seismic forecasting Sotolongo-Costa, Oscar Mora-Ramos, Miguel Eduardo Geophysics By writing total Tsallis entropy as a function of non-extensivity q-parameter withing the fragment-asperity model for earthquakes, a critical range of values is identified: 1.4 <q< 1.8. It comes directly from constructing the non-extensive entropy with the assumption that the energy of stress-bearing interactions, which the probability distribution depends on, is proportional to the surface of contact. Such interval of q-values corresponds to the strong variation of entropy and contains the most of reported results for this parameter determined for main-shocks around the world in recent decades, indicating the role of q as a seismic risk factor. Although this knowledge is clearly not enough to elaborate a procedure to predict the occurrence of intense and devastating tectonic earthquakes, it may serve as a relevant element of consideration. |
| title | Role of non-extensivity $q$-parameter in tectonic seismic forecasting |
| topic | Geophysics |
| url | https://arxiv.org/abs/2508.04932 |