Statistics of earthquakes based on the extended LGGR model

Earthquake and avalanche statistics show a magnitude distribution (Gutenberg-Richter) and a distribution of consecutive times (Omori). In order to describe such phenomena within a statistical physics approach we generalize our Local Growth Global Reset (LGGR) model for resets to arbitrary lower stat...

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Bibliographic Details
Published in:Physica A 2024-09, Vol.650, p.129983, Article 129983
Main Authors: Gergely, Attila, Biró, Tamás Sándor, Járai-Szabó, Ferenc, Néda, Zoltán
Format: Article
Language:English
Subjects:
Earthquake modeling
Growth and reset process
Master equation
Seismic stress dynamics
Stationary distributions
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Summary:Earthquake and avalanche statistics show a magnitude distribution (Gutenberg-Richter) and a distribution of consecutive times (Omori). In order to describe such phenomena within a statistical physics approach we generalize our Local Growth Global Reset (LGGR) model for resets to arbitrary lower states of the unobserved background variable. This variable is the accumulated stress for quakes, and the quakes themselves are the jumps between two such values. In a given class of transition rates between states with different stress values an analytic determination of the stationary PDF is possible. We utilize these findings to real-world data from various earthquakes. •The local growth and global reset model is generalized for incomplete reset processes.•The proposed model is applied to the dynamics of plate tectonics.•Universal scaling behavior in earthquake magnitude statistics is analytically derived.•Model predictions are successfully verified through real-world earthquake data.
ISSN:0378-4371
DOI:10.1016/j.physa.2024.129983