Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: A basis for q-exponential distributions

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 4, 2002, Pages 6-

  Abe, Sumiyoshi ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; ENTROPY; FRACTALS; FUNCTIONS; INTEGRAL EQUATIONS; PROBABILITY;

MULTIFRACTALS; POWER-LAWS; STATISTICAL QUANTITY; TSALLIS ENTROPY;

STATISTICAL MECHANICS;

ARTICLE;

EID: 41349092246     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.046134     Document Type: Article

References (15)

1. Nonextensive Statistical Mechanics and Its Applications, edited by S. Abe and Y. Okamoto, Lecture Notes in Physics Vol. 560 (Springer-Verlag, Heidelberg, 2001).
2. Special issue of Physica A 305, Nos. 1/2 (2002), edited by G. Kaniadakis, M. Lissia, and A. Rapisarda.
3. Nonextensive Entropy—Interdisciplinary Applications, edited by M. Gell-Mann and C. Tsallis (Oxford University Press, Oxford, in preparation).
4. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1983).
5. F. Baldovin and A. Robledo, Phys. Rev. E (to be published), e-print cond-mat/0205371.
6. C. Beck and F. Schlögl, Thermodynamics of Chaotic Systems: An Introduction (Cambridge University Press, Cambridge, 1993).
7. A. Rényi, Probability Theory (North-Holland, Amsterdam, 1970).
8. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
9. P. T. Landsberg and V. Vedral, Phys. Lett. A 247, 211 (1998).
10. A. K. Rajagopal and S. Abe, Phys. Rev. Lett. 83, 1711 (1999).
11. S. Abe and A. K. Rajagopal, J. Phys. A 33, 8733 (2000).
12. B. Lesche, J. Stat. Phys. 27, 419 (1982).
13. S. Abe, Phys. Lett. A 271, 74 (2000).
14. S. Abe, Phys. Rev. E 63, 061105 (2001).
15. S. Abe, Physica A 305, 62 (2002).