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A plausible explanation of the b-value in the Gutenberg-Richter law from first Principles
Authors:Panayiotis A Varotsos  Nicholas V Sarlis  Efthimios S Skordas  Haruo Tanaka
Institution:*)Physics Department, University of Athens, Panepistimiopolis, Zografos 157 84, Athens, Greece; **)Earthquake Prediction Center, Tokai University
Abstract:It is explained, from first Principles, why in the Gutenberg-Richter law (stating that the cumulative number of earthquakes N(>M) with magnitude greater than M is given by N(>M) ~ 10−bM) the so called b-value is usually found to be around unity varying only slightly from region to region. The explanation is achieved just by applying the analysis in the natural time domain, without using any adjustable parameter.
Keywords:Gutenberg-Richter relation  natural time  maximum entropy principle  universality
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