Nonextensive thermodynamic formalism for chaotic dynamical systems

Physica A: Statistical Mechanics and its Applications

Volumn 282, Issue 3, 2000, Pages 525-535

  Johal, Ramandeep S ^a   Rai, Renuka ^a  

^a PANJAB UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; FRACTALS; FREE ENERGY; PROBABILITY DISTRIBUTIONS; SPECIFIC HEAT; STATISTICAL MECHANICS;

BIT VARIANCE; CHAOTIC DYNAMICAL SYSTEMS; ERGODIC LOGISTIC MAP; LEGENDRE TRANSFORM STRUCTURE; NONEXTENSIVE THERMODYNAMICS; TSALLIS DISTRIBUTION;

CHAOS THEORY;

EID: 0033719037     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00103-5     Document Type: Article

References (34)

1. Eckmann J.-P., Ruelle D. Rev. Mod. Phys. 57:1985;617.
2. Bohr T., Tel T. Thermodynamics of fractals. Bai-lin Hao Directions in Chaos 2. 1988;World Scientific, Singapore.
3. Beck C., Schlögl F. Thermodynamics of Chaotic Systems: An Introduction. 1993;Cambridge University Press, Cambridge.
4. Tsallis C. Chaos, Solitons Fractals. 6:1995;539.
5. Tsallis C. J. Stat. Phys. 52:1988;479.
6. Shlesinger M.F., Zaslavsky G.M., Frisch U. Lévy Flights and Related Topics in Physics. 1995;Springer, Berlin.
7. Zanette D.H., Alemany P.A. Phys. Rev. Lett. 75:1995;366.
8. Tsallis C., Lévy S.V.F., de Souza A.M.C., Maynard R. Phys. Rev. Lett. 75:1995;3589.
9. Tsallis C., Lévy S.V.F., de Souza A.M.C., Maynard R. Phys. Rev. Lett. 77:1996;5442(E).
10. Plastino A.R., Plastino A. Phys. Lett. A. 174:1993;384.
11. Boghosian B.M. Phys. Rev. E. 53:1996;4754.
12. Anteneodo C., Tsallis C. J. Mol. Liq. 71:1997;255.
13. Clayton D.C. Nature. 249:1974;131.
14. Quarati P.et al. Nucl. Phys. A. 621:1997;345c.
15. Tsallis C., de Souza A.M.C. Phys. Lett. A. 235:1997;444.
16. For comprehensive list of references on formalism as well as applications, visit http: // tsallis.cat.cbpf.br / biblio.htm .
17. Curado E.M.F., Tsallis C. J. Phys. A. 24:1991;L69.
18. Curado E.M.F., Tsallis C. J. Phys. A. 25:1992;1019E.
19. Tsallis C. Fractals. 3:1995;541.
20. Alemany P.A. Phys. Lett. A. 235:1997;452.
21. Zanette D.H., Alemany P.A. Phys. Rev. Lett. 75:1995;366.
22. Zanette D.H., Alemany P.A. Phys. Rev. Lett. 77:1996;2590.
23. Tsallis C., Levy S.V.F., de Souza A.M.C., Maynard R. Phys. Rev. Lett. 75:1995;3589.
24. Tsallis C., Levy S.V.F., de Souza A.M.C., Maynard R. Phys. Rev. Lett. 77:1996;5442E.
25. M. Buiatti, P. Grigolini, A. Montagnini, cond-mat / 9809108, Phys. Rev. Lett. 82 (1999) 3383.
26. Lyra M.L., Tsallis C. Phys. Rev. Lett. 80:1998;53.
27. Tsallis C., Plastino A.R., Zhang W.-M. Chaos, Solitons Fractals. 8:1997;885.
28. Halsey T.C.et al. Phys. Rev. A. 33:1986;1141.
29. Rényi A. Probability Theory. 1970;North-Holland, Amsterdam.
30. Grassberger P. Phys. Lett. A. 97:1983;227.
31. Hentschal H., Procaccia I. Physica D. 8:1983;435.
32. Schlögl F. Z. Phys. B. 52:1983;51.
33. Schlögl F., Schöll E. Z. Phys. B. 72:1988;231.
34. Abe S. Physica A. 269:1999;403.