Over the non-extensivity parameter for some superadditives systems

This article proposes a biunivocal relationship between the non-extensivity parameter q and the stationary probability density function f corresponding to an observable u for some super-additive systems in which the Tsallis Entropy is applicable. This relationship is given in terms of comparison bet...

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Autores:
Borja–Tamayo, R.
Cartagena Marín, C.
Loaiza Ossa, Gabriel Ignacio
Molina Vélez, G.
Puerta Yepes, María Eugenia
Tipo de recurso:
Fecha de publicación:
2010
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/14495
Acceso en línea:
http://hdl.handle.net/10784/14495
Palabra clave:
Entropy
Non-Extensive Thermostat
Super-Additive Systems
Entropía
Termoestadística No Extensiva
Sistemas Super–Aditivos
Rights
License
Acceso abierto
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network_acronym_str REPOEAFIT2
network_name_str Repositorio EAFIT
repository_id_str
spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2010-06-012019-11-22T19:01:26Z2010-06-012019-11-22T19:01:26Z2256-43141794-9165http://hdl.handle.net/10784/14495This article proposes a biunivocal relationship between the non-extensivity parameter q and the stationary probability density function f corresponding to an observable u for some super-additive systems in which the Tsallis Entropy is applicable. This relationship is given in terms of comparison between link functions that characterize the lack of memory of certain random variables associated with the parameter q and the stationary density f. Finally, from the previous results, a method is proposed that allows the parameter q to be approximated, by an estimate of f, when the effective energy associated with u is the effective kinetic energy.Este artículo propone una relación biunívoca entre el parámetro de no extensividad q y la función de densidad de probabilidad estacionaria f correspondientes a un observable u para algunos sistemas super–aditivos en los que la Entropía de Tsallis sea aplicable. Dicha relación se da en términos de comparación entre funciones de enlace que caracterizan la falta de memoria de ciertas variables aleatorias asociadas al parámetro q y a la densidad estacionaria f. Finalmente, a partir de los resultados anteriores, se propone un método que permite aproximar el parámetro q, mediante una estimación de f, cuando la energía efectiva asociada a u sea la energía cinética efectiva.application/pdfspaUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/254http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/254Copyright (c) 2010 R. Borja–Tamayo, C. Cartagena Marín, Gabriel Ignacio Loaiza Ossa, G. Molina Vélez, María Eugenia Puerta YepesAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 6, No 11 (2010)Over the non-extensivity parameter for some superadditives systemsSobre el parámetro de no extensividad para algunos sistemas super-aditivosarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1EntropyNon-Extensive ThermostatSuper-Additive SystemsEntropíaTermoestadística No ExtensivaSistemas Super–AditivosBorja–Tamayo, R.00328ff9-830e-496a-a657-acb722708c52-1Cartagena Marín, C.960a429b-34a5-4556-a22f-a430275474db-1Loaiza Ossa, Gabriel Ignaciofea12122-820d-462c-a9e2-59461e5abbd1-1Molina Vélez, G.dbdaab65-df08-4a19-8605-c59d7da1e15b-1Puerta Yepes, María Eugenia11c1f5ea-a0e5-4644-a063-1eedea3c897a-1Universidad EAFITIngeniería y Ciencia611143158ing.cienc.THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/28f8257c-bb15-455a-b558-f828ed3a2351/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINAL9.pdf9.pdfTexto completo PDFapplication/pdf195228https://repository.eafit.edu.co/bitstreams/460db86a-3f8e-43c8-8cb0-e9891de03631/download22c8120de8286fcf5e6ee594868c89a0MD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html373https://repository.eafit.edu.co/bitstreams/33b1ac49-be53-45d3-a069-4d63fadb738f/download99c5f0c0d19c83eebf12c1d1bec625b2MD5310784/14495oai:repository.eafit.edu.co:10784/144952024-12-04 11:47:37.798open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Over the non-extensivity parameter for some superadditives systems
dc.title.spa.fl_str_mv Sobre el parámetro de no extensividad para algunos sistemas super-aditivos
title Over the non-extensivity parameter for some superadditives systems
spellingShingle Over the non-extensivity parameter for some superadditives systems
Entropy
Non-Extensive Thermostat
Super-Additive Systems
Entropía
Termoestadística No Extensiva
Sistemas Super–Aditivos
title_short Over the non-extensivity parameter for some superadditives systems
title_full Over the non-extensivity parameter for some superadditives systems
title_fullStr Over the non-extensivity parameter for some superadditives systems
title_full_unstemmed Over the non-extensivity parameter for some superadditives systems
title_sort Over the non-extensivity parameter for some superadditives systems
dc.creator.fl_str_mv Borja–Tamayo, R.
Cartagena Marín, C.
Loaiza Ossa, Gabriel Ignacio
Molina Vélez, G.
Puerta Yepes, María Eugenia
dc.contributor.author.spa.fl_str_mv Borja–Tamayo, R.
Cartagena Marín, C.
Loaiza Ossa, Gabriel Ignacio
Molina Vélez, G.
Puerta Yepes, María Eugenia
dc.contributor.affiliation.spa.fl_str_mv Universidad EAFIT
dc.subject.keyword.eng.fl_str_mv Entropy
Non-Extensive Thermostat
Super-Additive Systems
topic Entropy
Non-Extensive Thermostat
Super-Additive Systems
Entropía
Termoestadística No Extensiva
Sistemas Super–Aditivos
dc.subject.keyword.spa.fl_str_mv Entropía
Termoestadística No Extensiva
Sistemas Super–Aditivos
description This article proposes a biunivocal relationship between the non-extensivity parameter q and the stationary probability density function f corresponding to an observable u for some super-additive systems in which the Tsallis Entropy is applicable. This relationship is given in terms of comparison between link functions that characterize the lack of memory of certain random variables associated with the parameter q and the stationary density f. Finally, from the previous results, a method is proposed that allows the parameter q to be approximated, by an estimate of f, when the effective energy associated with u is the effective kinetic energy.
publishDate 2010
dc.date.issued.none.fl_str_mv 2010-06-01
dc.date.available.none.fl_str_mv 2019-11-22T19:01:26Z
dc.date.accessioned.none.fl_str_mv 2019-11-22T19:01:26Z
dc.date.none.fl_str_mv 2010-06-01
dc.type.eng.fl_str_mv article
info:eu-repo/semantics/article
publishedVersion
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http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 2256-4314
1794-9165
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/14495
identifier_str_mv 2256-4314
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url http://hdl.handle.net/10784/14495
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dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.eng.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 6, No 11 (2010)
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
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