The concept of temperature in a nonextensive scenario. (English) Zbl 0978.82044
Summary: Tsallis’ nonextensive thermostatistics [Tsallis et al., Physica A 261, 534 (1998); Tsallis, in: Abe, Okamoto (Eds.), Nonextensive Statistical Mechanics and its Applications, Lecture Notes in Physics, Springer, Berlin, 2000; Tsallis, Braz. J. Phys. 29, 1 (1991); Plastino and Plastino, in: Ludeña (Ed.), Condensed Matter Theories, Nova Science Publishers, New York, USA, 1996, p. 341; Plastino and Plastino, Braz. J. Phys. 29, 79 (1999)] is by now recognized as a new paradigm for statistical mechanical considerations. In a nonextensive scenario, however, the concept of temperature should be handled with some care, as some difficulties ensue (Tsallis, 2000). In this work we discuss this problem and reach some useful conclusions.
MSC:
| 82B30 | Statistical thermodynamics |
References:
| [1] | Tsallis, C.; Mendes, R. S.; Plastino, A. R., Physica A, 261, 534 (1998) |
| [2] | C. Tsallis, Nonextensive statistical mechanics and thermodynamics: historical background and present status, in: S. Abe, Y. Okamoto (Eds.), Nonextensive Statistical Mechanics and its Applications, Lecture Notes in Physics, Springer, Berlin, 2001, in press.; C. Tsallis, Nonextensive statistical mechanics and thermodynamics: historical background and present status, in: S. Abe, Y. Okamoto (Eds.), Nonextensive Statistical Mechanics and its Applications, Lecture Notes in Physics, Springer, Berlin, 2001, in press. · Zbl 0994.82001 |
| [3] | C. Tsallis, Braz. J. Phys. 29 (1999) 1, and references therein, see also http: //www.sbf.if.usp.br/WWW_pages/Journals/BJP/Vol129/Num1/ index.htm; C. Tsallis, Braz. J. Phys. 29 (1999) 1, and references therein, see also http: //www.sbf.if.usp.br/WWW_pages/Journals/BJP/Vol129/Num1/ index.htm |
| [4] | A.R. Plastino, A. Plastino, in: E. Ludeña (Ed.), Condensed Matter Theories, Vol. 11, Nova Science Publishers, New York, USA, 1996, p. 341.; A.R. Plastino, A. Plastino, in: E. Ludeña (Ed.), Condensed Matter Theories, Vol. 11, Nova Science Publishers, New York, USA, 1996, p. 341. |
| [5] | Plastino, A. R.; Plastino, A., Braz. J. Phys., 29, 79 (1999) |
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| [8] | Martı́nez, S.; Nicolás, F.; Pennini, F.; Plastino, A., Physica A, 286, 489 (2000) · Zbl 1052.82501 |
| [9] | Rama, S. K., Phys. Lett. A, 276, 1 (2000) |
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