Nonextensive thermodynamic relations
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 l...
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| Autores principales: | , , , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
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2001
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/129594 https://www.sciencedirect.com/science/article/pii/S037596010100127X?via%3Dihub |
| Aporte de: |
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I19-R120-10915-129594 |
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| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Ciencias Exactas Física thermodynamic entropy unphysical temperature unphysical pressure |
| spellingShingle |
Ciencias Exactas Física thermodynamic entropy unphysical temperature unphysical pressure Abe, Sumiyoshi Martínez, S. Pennini, Flavia Plastino, Ángel Luis Nonextensive thermodynamic relations |
| topic_facet |
Ciencias Exactas Física thermodynamic entropy unphysical temperature unphysical pressure |
| 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. |
| format |
Articulo Articulo |
| author |
Abe, Sumiyoshi Martínez, S. Pennini, Flavia Plastino, Ángel Luis |
| author_facet |
Abe, Sumiyoshi Martínez, S. Pennini, Flavia Plastino, Ángel Luis |
| author_sort |
Abe, Sumiyoshi |
| title |
Nonextensive thermodynamic relations |
| 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 |
| publishDate |
2001 |
| url |
http://sedici.unlp.edu.ar/handle/10915/129594 https://www.sciencedirect.com/science/article/pii/S037596010100127X?via%3Dihub |
| work_keys_str_mv |
AT abesumiyoshi nonextensivethermodynamicrelations AT martinezs nonextensivethermodynamicrelations AT penniniflavia nonextensivethermodynamicrelations AT plastinoangelluis nonextensivethermodynamicrelations |
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Repositorios |
| _version_ |
1764820454586974210 |