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Title: Dynamical Scaling in Branching Models for Seismicity

Abstract

We propose a branching process based on a dynamical scaling hypothesis relating time and mass. In the context of earthquake occurrence, we show that experimental power laws in size and time distribution naturally originate solely from this scaling hypothesis. We present a numerical protocol able to generate a synthetic catalog with an arbitrary large number of events. The numerical data reproduce the hierarchical organization in time and magnitude of experimental interevent time distribution.

Authors:
 [1];  [2];  [3]
  1. Department of Physical Sciences, University of Naples 'Federico II', 80125 Naples (Italy)
  2. Department of Environmental Sciences and CNISM, Second University of Naples, 81100 Caserta (Italy)
  3. Department of Information Engineering and CNISM, Second University of Naples, 81031 Aversa (CE) (Italy)
Publication Date:
OSTI Identifier:
20957710
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevLett.98.098501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BRANCHING RATIO; CATALOGS; EARTHQUAKES; MATHEMATICAL MODELS; NUMERICAL DATA; SEISMICITY

Citation Formats

Lippiello, Eugenio, Godano, Cataldo, and De Arcangelis, Lucilla. Dynamical Scaling in Branching Models for Seismicity. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.098501.
Lippiello, Eugenio, Godano, Cataldo, & De Arcangelis, Lucilla. Dynamical Scaling in Branching Models for Seismicity. United States. doi:10.1103/PHYSREVLETT.98.098501.
Lippiello, Eugenio, Godano, Cataldo, and De Arcangelis, Lucilla. Fri . "Dynamical Scaling in Branching Models for Seismicity". United States. doi:10.1103/PHYSREVLETT.98.098501.
@article{osti_20957710,
title = {Dynamical Scaling in Branching Models for Seismicity},
author = {Lippiello, Eugenio and Godano, Cataldo and De Arcangelis, Lucilla},
abstractNote = {We propose a branching process based on a dynamical scaling hypothesis relating time and mass. In the context of earthquake occurrence, we show that experimental power laws in size and time distribution naturally originate solely from this scaling hypothesis. We present a numerical protocol able to generate a synthetic catalog with an arbitrary large number of events. The numerical data reproduce the hierarchical organization in time and magnitude of experimental interevent time distribution.},
doi = {10.1103/PHYSREVLETT.98.098501},
journal = {Physical Review Letters},
number = 9,
volume = 98,
place = {United States},
year = {Fri Mar 02 00:00:00 EST 2007},
month = {Fri Mar 02 00:00:00 EST 2007}
}