Application of tsallis nonextensive statistics to the anomalous diffusion of the standard map

Progress of Theoretical Physics

Volumn 114, Issue 5, 2005, Pages 943-952

  Ishizaki, Ryuji ^a   Inoue, Masayoshi ^b  

^a FUKUOKA PREFECTURAL UNIVERSITY   (Japan)

^b KAGOSHIMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32044466918     PISSN: 0033068X     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTP.114.943     Document Type: Article

References (19)

1. C. Tsallis, J. Stat. Phys. 52 (1988), 479;
2. Phys. Lett. A 195 (1994), 329.
3. X.-J. Wang, Phys. Rev. A 45 (1992), 8407.
4. M. F. Shlesinger, G. M. Zaslavsky and J. Klafter, Nature 363 (1993), 31.
5. G. Zumofen and J. Klafter, Phys. Rev. E 47 (1993), 851.
6. A. J. Lichitenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, 1992).
7. Y. H. Ichikawa, T. Kamimura and T. Hatori, Physica D 29 (1987), 247.
8. R. Ishizaki, T. Horita, T. Kobayashi and H. Mori, Prog. Theor. Phys. 85 (1991), 1013.
9. D. Prato and C. Tsallis, Phys. Rev. E 60 (1999), 2398.
10. B. V. Gnedenko and A. N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables (Addison-Wesley, Cambridge, Massachusetts, 1954).
11. M. L. Lyra and C. Tsallis, Phys. Rev. Lett. 80 (1998), 53.
12. F. Baldovin and A. Robledo, Phys. Rev. E 66 (2002), 045104.
13. J. Du, Phys. Lett. A 329 (2004), 262.
14. D. H. Zanette and M. A. Montemurro, Phys. Lett. A 316 (2003), 184.
15. A. Cho, Science 23 (2002), 1268.
16. M. Nauenberg, Phys. Rev. E 67 (2003), 036114.
17. A. Plastino, Physica A 344 (2004), 608.
18. C. Tsallis, Physica A 340 (2004), 1.
19. http://tsallis.cat.cbpf.br/biblio.htm