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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/654
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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 Técnicas2025-09-29T09:39:42Zoai: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:34982025-09-29 09:39:42.394CONICET 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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1844613256393523200 |
score |
13.070432 |