A first order Tsallis theory

Autores
Ferri, Gustavo L.; Plastino, Ángel Luis; Rocca, Mario Carlos; Zamora, Darío Javier
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate first-order approximations to both (i) Tsallis’ entropy Sq and (ii) the Sq-MaxEnt solution (called q-exponential functions eq).We use an approximation/expansion for q very close to unity. It is shown that the functions arising from the procedure (ii) are theMaxEnt solutions to the entropy emerging from (i). Our present treatment is motivated by the fact it is FREE of the poles that, for classic quadratic Hamiltonians, appear in Tsallis’ approach, as demonstrated in [A. Plastimo, M.C. Rocca, Europhys. Lett. 104, 60003 (2013)]. Additionally, we show that our treatment is compatible with extant date on the ozone layer.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
statistical and nonlinear physics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/109045

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network_acronym_str SEDICI
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network_name_str SEDICI (UNLP)
spelling A first order Tsallis theoryFerri, Gustavo L.Plastino, Ángel LuisRocca, Mario CarlosZamora, Darío JavierCiencias ExactasFísicastatistical and nonlinear physicsWe investigate first-order approximations to both (i) Tsallis’ entropy S<sub>q</sub> and (ii) the S<sub>q</sub>-MaxEnt solution (called q-exponential functions e<sub>q</sub>).We use an approximation/expansion for q very close to unity. It is shown that the functions arising from the procedure (ii) are theMaxEnt solutions to the entropy emerging from (i). Our present treatment is motivated by the fact it is FREE of the poles that, for classic quadratic Hamiltonians, appear in Tsallis’ approach, as demonstrated in [A. Plastimo, M.C. Rocca, Europhys. Lett. 104, 60003 (2013)]. Additionally, we show that our treatment is compatible with extant date on the ozone layer.Facultad de Ciencias ExactasInstituto de Física La Plata2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/109045enginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140%2Fepjb%2Fe2017-70699-1info:eu-repo/semantics/altIdentifier/issn/1434-6036info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2017-70699-1info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:16:34Zoai:sedici.unlp.edu.ar:10915/109045Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:16:34.578SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv A first order Tsallis theory
title A first order Tsallis theory
spellingShingle A first order Tsallis theory
Ferri, Gustavo L.
Ciencias Exactas
Física
statistical and nonlinear physics
title_short A first order Tsallis theory
title_full A first order Tsallis theory
title_fullStr A first order Tsallis theory
title_full_unstemmed A first order Tsallis theory
title_sort A first order Tsallis theory
dc.creator.none.fl_str_mv Ferri, Gustavo L.
Plastino, Ángel Luis
Rocca, Mario Carlos
Zamora, Darío Javier
author Ferri, Gustavo L.
author_facet Ferri, Gustavo L.
Plastino, Ángel Luis
Rocca, Mario Carlos
Zamora, Darío Javier
author_role author
author2 Plastino, Ángel Luis
Rocca, Mario Carlos
Zamora, Darío Javier
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
statistical and nonlinear physics
topic Ciencias Exactas
Física
statistical and nonlinear physics
dc.description.none.fl_txt_mv We investigate first-order approximations to both (i) Tsallis’ entropy S<sub>q</sub> and (ii) the S<sub>q</sub>-MaxEnt solution (called q-exponential functions e<sub>q</sub>).We use an approximation/expansion for q very close to unity. It is shown that the functions arising from the procedure (ii) are theMaxEnt solutions to the entropy emerging from (i). Our present treatment is motivated by the fact it is FREE of the poles that, for classic quadratic Hamiltonians, appear in Tsallis’ approach, as demonstrated in [A. Plastimo, M.C. Rocca, Europhys. Lett. 104, 60003 (2013)]. Additionally, we show that our treatment is compatible with extant date on the ozone layer.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We investigate first-order approximations to both (i) Tsallis’ entropy S<sub>q</sub> and (ii) the S<sub>q</sub>-MaxEnt solution (called q-exponential functions e<sub>q</sub>).We use an approximation/expansion for q very close to unity. It is shown that the functions arising from the procedure (ii) are theMaxEnt solutions to the entropy emerging from (i). Our present treatment is motivated by the fact it is FREE of the poles that, for classic quadratic Hamiltonians, appear in Tsallis’ approach, as demonstrated in [A. Plastimo, M.C. Rocca, Europhys. Lett. 104, 60003 (2013)]. Additionally, we show that our treatment is compatible with extant date on the ozone layer.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/109045
url http://sedici.unlp.edu.ar/handle/10915/109045
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140%2Fepjb%2Fe2017-70699-1
info:eu-repo/semantics/altIdentifier/issn/1434-6036
info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2017-70699-1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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