Thermodynamic criticality in seismicity: Uniqueness of surface-energy scaling in the fragment-asperity model
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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866912967577042944 |
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| author | Sotolongo-Costa, O. Mora-Rodríguez, A. V. Mora-Ramos, M. E. |
| author_facet | Sotolongo-Costa, O. Mora-Rodríguez, A. V. Mora-Ramos, M. E. |
| contents | We propose that a linear relation between the energy of stress-bearing interactions and the surface of contact within the fragment-asperity model for earthquakes. It reveals as the only one that leads to a closed elementary form for a well-defined total entropy as a function of non-extensivity parameter, $q$. By writing the total Tsallis entropy as a function of $q$, a critical range of values is identified: $1.4\lesssim q\lesssim 1.8$. 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 criticality indicator, more than just a fitting parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14759 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Thermodynamic criticality in seismicity: Uniqueness of surface-energy scaling in the fragment-asperity model Sotolongo-Costa, O. Mora-Rodríguez, A. V. Mora-Ramos, M. E. Geophysics We propose that a linear relation between the energy of stress-bearing interactions and the surface of contact within the fragment-asperity model for earthquakes. It reveals as the only one that leads to a closed elementary form for a well-defined total entropy as a function of non-extensivity parameter, $q$. By writing the total Tsallis entropy as a function of $q$, a critical range of values is identified: $1.4\lesssim q\lesssim 1.8$. 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 criticality indicator, more than just a fitting parameter. |
| title | Thermodynamic criticality in seismicity: Uniqueness of surface-energy scaling in the fragment-asperity model |
| topic | Geophysics |
| url | https://arxiv.org/abs/2603.14759 |