Standard thermal statistics with q-entropies

Journal of Mathematical Physics

Volumn 37, Issue 4, 1996, Pages 1776-1789

  Guerberoff, G R ^a   Raggio, G A ^a  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030542293     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531479     Document Type: Article

References (11)

1. Z. Daróczy, "Generalized information functions," Inf. Control 16, 36-51 (1970).
2. A. Wehrl, "General properties of entropy," Rev. Mod. Phys. 50, 221-260 (1978).
3. C. Tsallis, "Possible generalization of Boltzmann-Gibbs Statistics," J. Stat. Phys. 52, 479-487 (1988).
4. A.R. Plastino and A. Plastino, "Stellar polytropes and Tsallis' entropy," Phys. Lett. A 174, 384-386 (1993).
5. N. Ito and C. Tsallis, "Specific beat of the harmonic oscillator within generalized equilibrium statistics," Il Nuovo Cimento D 11, 907 (1989).
6. E.M.F. Curado and C. Tsallis, "Generalized statistical mechanics: connection with thermodynamics," J. Phys. A 24, L69-L72 (1991).
7. G.R. Guerberoff, P.A. Pury, and G.A. Raggio, "Non-standard thermal statistics with q-entropies," J. Math. Phys. 37, 1790-1811 (1996).
8. G.A. Raggio, "Properties of q-entropies," J. Math. Phys. 36, 4785-4791 (1995).
9. M. Ohya and D. Petz, Quantum entropy and its use (Springer, Berlin, 1993).
10. The inequality S[ρ̂]≥S[ρ] for any concave functional S[·] is a general result (see, e.g., Ref. 3) of the theory of Uhlmann's "more mixed than" partial ordering of states.
11. R.T. Rockafellar, Convex Analysis (Princeton University. Princeton, NJ, 1970).