Non-standard thermal statistics with q-entropies

Journal of Mathematical Physics

Volumn 37, Issue 4, 1996, Pages 1790-1811

  Guerberoff, Gustavo R ^a   Pury, Pedro A ^a   Raggio, Guido A ^a  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030553271     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531480     Document Type: Article

References (14)

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2. G. R. Guerberoff and G. A. Raggio, "Standard thermal statistics with q-entropies," J. Math. Phys. 37, 1776-1789 (1996).
3. E. M. F. Curado and C. Tsallis, "Generalized statistical mechanics: connection with thermodynamics," J. Phys. A 24, L69-L72 (1991) (Errata: A 24, 3187 (1991) and A 25, 1019 (1992).
4. C. Tsallis, "Extensive versus nonextensive physics," in New Trends in Magnetism, Magnetic Materials and their Applications, edited by J. L. Morán-Lopéz and J. M. Sánchez (Plenum, New York, 1994), p. 451; "Some comments on Boltzmann-Gibbs statistical mechanics," Chaos, Solitons Fractals 6, 539 (1995); and reference therein.
5. C. Tsallis, "Extensive versus nonextensive physics," in New Trends in Magnetism, Magnetic Materials and their Applications, edited by J. L. Morán-Lopéz and J. M. Sánchez (Plenum, New York, 1994), p. 451; "Some comments on Boltzmann-Gibbs statistical mechanics," Chaos, Solitons Fractals 6, 539 (1995); and reference therein.
6. Z. Daróczy, "Generalized information functions," Inf. Control 16, 36-51 (1970).
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9. R. T. Rockafellar, Convex Analysis (Princeton University, Princeton, 1970).
10. q defined by (6) is concave.
11. E. P. da Silva, C. Tsallis, and E. M. F. Curado, "Specific heat of a free particle in a generalized Boltzmann-Gibbs statistics," Physica A 199, 137-153 (1993) (Erratum: 203, 160 (1994).
12. R. F. S. Andrade, "Remarks on the behavior of the Ising chain in generalized statistics," Physica A 203, 486-494 (1994).
13. A. R. Plastino and A. Plastino, "Tsallis' entropy, Ehrenfest theorem and information theory," Phys. Lett. A 177, 177-179 (1993).
14. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities (Cambridge University, Cambridge, 1934).