Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes

Autores
Jagla, Eduardo Alberto
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The Dro¨ssel-Schwabl model of forest fires can be interpreted in a coarse-grained sense as a model for the stress distribution in a single planar fault. Fires in the model are then translated to earthquakes. I show that when a second class of trees that propagate fire only after some finite time is introduced in the model, secondary fires (analogous to aftershocks) are generated, and the statistics of events becomes quantitatively compatible with the Gutenberg-Richter law for earthquakes, with a realistic value of the b exponent. The change in exponent is analytically demonstrated in a simplified percolation scenario. Experimental consequences of the proposed mechanism are indicated.
Fil: Jagla, Eduardo Alberto. Comision Nacional de Energia Atomica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina;
Materia
earthquakes
statistical mechanics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/654
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/654
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network_name_str CONICET Digital (CONICET)
spelling Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for EarthquakesJagla, Eduardo Albertoearthquakesstatistical mechanicshttps://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.3The Dro¨ssel-Schwabl model of forest fires can be interpreted in a coarse-grained sense as a model for the stress distribution in a single planar fault. Fires in the model are then translated to earthquakes. I show that when a second class of trees that propagate fire only after some finite time is introduced in the model, secondary fires (analogous to aftershocks) are generated, and the statistics of events becomes quantitatively compatible with the Gutenberg-Richter law for earthquakes, with a realistic value of the b exponent. The change in exponent is analytically demonstrated in a simplified percolation scenario. Experimental consequences of the proposed mechanism are indicated.Fil: Jagla, Eduardo Alberto. Comision Nacional de Energia Atomica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina;Amer Physical Soc2013-12-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/654Jagla, Eduardo Alberto; Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes; Amer Physical Soc; Physical Review Letters; 111; 3-12-2013; 2385011-2385014;0031-9007enginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.111.238501info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:08:08Zoai:ri.conicet.gov.ar:11336/654instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:08:08.436CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
title Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
spellingShingle Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
Jagla, Eduardo Alberto
earthquakes
statistical mechanics
title_short Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
title_full Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
title_fullStr Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
title_full_unstemmed Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
title_sort Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes
dc.creator.none.fl_str_mv Jagla, Eduardo Alberto
author Jagla, Eduardo Alberto
author_facet Jagla, Eduardo Alberto
author_role author
dc.subject.none.fl_str_mv earthquakes
statistical mechanics
topic earthquakes
statistical mechanics
purl_subject.fl_str_mv https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/1.3
dc.description.none.fl_txt_mv The Dro¨ssel-Schwabl model of forest fires can be interpreted in a coarse-grained sense as a model for the stress distribution in a single planar fault. Fires in the model are then translated to earthquakes. I show that when a second class of trees that propagate fire only after some finite time is introduced in the model, secondary fires (analogous to aftershocks) are generated, and the statistics of events becomes quantitatively compatible with the Gutenberg-Richter law for earthquakes, with a realistic value of the b exponent. The change in exponent is analytically demonstrated in a simplified percolation scenario. Experimental consequences of the proposed mechanism are indicated.
Fil: Jagla, Eduardo Alberto. Comision Nacional de Energia Atomica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina;
description The Dro¨ssel-Schwabl model of forest fires can be interpreted in a coarse-grained sense as a model for the stress distribution in a single planar fault. Fires in the model are then translated to earthquakes. I show that when a second class of trees that propagate fire only after some finite time is introduced in the model, secondary fires (analogous to aftershocks) are generated, and the statistics of events becomes quantitatively compatible with the Gutenberg-Richter law for earthquakes, with a realistic value of the b exponent. The change in exponent is analytically demonstrated in a simplified percolation scenario. Experimental consequences of the proposed mechanism are indicated.
publishDate 2013
dc.date.none.fl_str_mv 2013-12-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/654
Jagla, Eduardo Alberto; Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes; Amer Physical Soc; Physical Review Letters; 111; 3-12-2013; 2385011-2385014;
0031-9007
url http://hdl.handle.net/11336/654
identifier_str_mv Jagla, Eduardo Alberto; Forest-Fire Analogy to Explain the b Value of the Gutenberg-Richter Law for Earthquakes; Amer Physical Soc; Physical Review Letters; 111; 3-12-2013; 2385011-2385014;
0031-9007
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.111.238501
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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