Nonextensive thermodynamic relations
- Autores
- Abe, Sumiyoshi; Martínez, S.; Pennini, Flavia; Plastino, Ángel Luis
- Año de publicación
- 2001
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic relations for nonextensive systems. Here, taking the first law of thermodynamics and the Legendre transform structure as the basic premises, it is found that Clausius definition of the thermodynamic entropy has to be appropriately modified, and accordingly the thermodynamic relations proposed by Tsallis, Mendes and Plastino [Physica A 261 (1998) 534] are also to be rectified. It is shown that the definition of specific heat and the equation of state remain form invariant. As an application, the classical gas model is reexamined and, in marked contrast with the previous result obtained by Abe [Phys. Lett. A 263 (1999) 424: Erratum A 267 (2000) 456] using the unphysical temperature and the unphysical pressure, the specific heat and the equation of state are found to be similar to those in ordinary extensive thermodynamics.
Instituto de Física La Plata - Materia
-
Ciencias Exactas
Física
thermodynamic entropy
unphysical temperature
unphysical pressure - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/129594
Ver los metadatos del registro completo
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Nonextensive thermodynamic relationsAbe, SumiyoshiMartínez, S.Pennini, FlaviaPlastino, Ángel LuisCiencias ExactasFísicathermodynamic entropyunphysical temperatureunphysical pressureThe generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic relations for nonextensive systems. Here, taking the first law of thermodynamics and the Legendre transform structure as the basic premises, it is found that Clausius definition of the thermodynamic entropy has to be appropriately modified, and accordingly the thermodynamic relations proposed by Tsallis, Mendes and Plastino [Physica A 261 (1998) 534] are also to be rectified. It is shown that the definition of specific heat and the equation of state remain form invariant. As an application, the classical gas model is reexamined and, in marked contrast with the previous result obtained by Abe [Phys. Lett. A 263 (1999) 424: Erratum A 267 (2000) 456] using the unphysical temperature and the unphysical pressure, the specific heat and the equation of state are found to be similar to those in ordinary extensive thermodynamics.Instituto de Física La Plata2001info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf126-130http://sedici.unlp.edu.ar/handle/10915/129594enginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S037596010100127X?via%3Dihubinfo:eu-repo/semantics/altIdentifier/issn/0375-9601info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0011012info:eu-repo/semantics/altIdentifier/doi/10.1016/s0375-9601(01)00127-xinfo: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:UNLP2025-09-29T11:31:17Zoai:sedici.unlp.edu.ar:10915/129594Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:17.81SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Nonextensive thermodynamic relations |
| title |
Nonextensive thermodynamic relations |
| spellingShingle |
Nonextensive thermodynamic relations Abe, Sumiyoshi Ciencias Exactas Física thermodynamic entropy unphysical temperature unphysical pressure |
| title_short |
Nonextensive thermodynamic relations |
| title_full |
Nonextensive thermodynamic relations |
| title_fullStr |
Nonextensive thermodynamic relations |
| title_full_unstemmed |
Nonextensive thermodynamic relations |
| title_sort |
Nonextensive thermodynamic relations |
| dc.creator.none.fl_str_mv |
Abe, Sumiyoshi Martínez, S. Pennini, Flavia Plastino, Ángel Luis |
| author |
Abe, Sumiyoshi |
| author_facet |
Abe, Sumiyoshi Martínez, S. Pennini, Flavia Plastino, Ángel Luis |
| author_role |
author |
| author2 |
Martínez, S. Pennini, Flavia Plastino, Ángel Luis |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física thermodynamic entropy unphysical temperature unphysical pressure |
| topic |
Ciencias Exactas Física thermodynamic entropy unphysical temperature unphysical pressure |
| dc.description.none.fl_txt_mv |
The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic relations for nonextensive systems. Here, taking the first law of thermodynamics and the Legendre transform structure as the basic premises, it is found that Clausius definition of the thermodynamic entropy has to be appropriately modified, and accordingly the thermodynamic relations proposed by Tsallis, Mendes and Plastino [Physica A 261 (1998) 534] are also to be rectified. It is shown that the definition of specific heat and the equation of state remain form invariant. As an application, the classical gas model is reexamined and, in marked contrast with the previous result obtained by Abe [Phys. Lett. A 263 (1999) 424: Erratum A 267 (2000) 456] using the unphysical temperature and the unphysical pressure, the specific heat and the equation of state are found to be similar to those in ordinary extensive thermodynamics. Instituto de Física La Plata |
| description |
The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic relations for nonextensive systems. Here, taking the first law of thermodynamics and the Legendre transform structure as the basic premises, it is found that Clausius definition of the thermodynamic entropy has to be appropriately modified, and accordingly the thermodynamic relations proposed by Tsallis, Mendes and Plastino [Physica A 261 (1998) 534] are also to be rectified. It is shown that the definition of specific heat and the equation of state remain form invariant. As an application, the classical gas model is reexamined and, in marked contrast with the previous result obtained by Abe [Phys. Lett. A 263 (1999) 424: Erratum A 267 (2000) 456] using the unphysical temperature and the unphysical pressure, the specific heat and the equation of state are found to be similar to those in ordinary extensive thermodynamics. |
| publishDate |
2001 |
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2001 |
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article |
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publishedVersion |
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eng |
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eng |
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