Thermodynamic criticality in seismicity: Uniqueness of surface-energy scaling in the fragment-asperity model
arXiv:2603.14759
Abstract
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, . By writing the total Tsallis entropy as a function of , a critical range of values is identified: . Such interval of -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 as a criticality indicator, more than just a fitting parameter.
9 pages. 3 figures. arXiv admin note: substantial text overlap with arXiv:2508.04932