Superstatistics: Theoretical Concepts and Physical Applications

Anomalous Transport: Foundations and Applications

Volumn , Issue , 2008, Pages 433-457

  Beck, Christian ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Anomalous diffusion; Applications to complex systems; Asymptotic behavior; Basic idea; Cosmic rays; Defect turbulence; Lagrangian turbulence; Large energies; Physical applications; Superstatistical systems; Superstatistics; Theoretical concepts; Time series; Typical distributions f ( )

Indexed keywords

EID: 68949118812     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527622979.ch15     Document Type: Chapter

References (57)

1. C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003)
2. C. Beck, E.G.D. Cohen, and H.L. Swinney, Phys. Rev. E 72, 026304 (2005)
3. C. Beck and E.G.D. Cohen, Physica A 344, 393 (2004)
4. H. Touchette and C. Beck, Phys. Rev. E 71, 016131 (2005)
5. C. Tsallis and A.M.C. Souza, Phys. Rev. E 67, 026106 (2003)
6. P.-H. Chavanis, Physica A 359, 177 (2006)
7. C. Vignat, A. Plastino, and A.R. Plastino, cond-mat/0505580
8. S. Abe, C. Beck, and E.G.D. Cohen, Phys. Rev. E 76, 031102 (2007)
9. C. Beck, Europhys. Lett. 64, 151 (2003)
10. A. Reynolds, Phys. Rev. Lett. 91, 084503 (2003)
11. C. Beck, Phys. Rev. Lett. 98, 064502 (2007)
12. C. Beck, Physica D 193, 195 (2004)
13. M. Baiesi, M. Paczuski and A.L. Stella, Phys. Rev. Lett. 96, 051103 (2006)
14. K. E. Daniels, C. Beck, and E. Bodenschatz, Physica D 193, 208 (2004)
15. C. Beck, Physica A 331, 173 (2004)
16. S. Rizzo and A. Rapisarda, Environmental atmospheric at Florence airport, Proceedings of the 8th Experimental Chaos Conference, Florence, AIP Conf. Proc. 742, 176 (2004) (cond-mat/0406684)
17. J.-P. Bouchard and M. Potters, Theory of Financial Risk and Derivative Pricing, Cambridge University Press, Cambridge (2003)
18. M. Ausloos and K. Ivanova, Phys. Rev. E 68, 046122 (2003)
19. Y. Ohtaki and H.H. Hasegawa, condmat/ 0312568
20. A.Y. Abul-Magd, Physica A 361, 41 (2006)
21. S. Abe and S. Thurner, Phys. Rev. E 72, 036102 (2005)
22. A. Porporato, G. Vico, and P.A. Fay, Geophys. Res. Lett. 33, L15402 (2006)
23. A.K. Rajagopal, cond-mat/0608679
24. K. Briggs and C. Beck, Physica A 278, 498 (2007)
25. S. Rizzo and A. Rapisarda, Application of superstatistics to atmospheric turbulence, in Complexity, Metastability and Nonextensivity, eds. C. Beck, G. Benedek, A. Rapisarda, C. Tsallis, World Scientific, Singapore (2005) [cond-mat/0502305]
26. G. Wilk and Z.Wlodarczyk, Phys. Rev. Lett. 84, 2770 (2000)
27. C. Beck, Phys. Rev. Lett. 87, 180601 (2001)
28. H. Touchette, Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble, in Nonextensive Entropy-Interdisciplinary Applications, M. Gell-Mann, C. Tsallis (eds.) Oxford University Press, Oxford (2004)
29. F. Sattin and L. Salasnich, Phys. Rev. E 65, 035106(R) (2002)
30. B. Castaing, Y. Gagne, and E.J. Hopfinger, Physica D 46, 177 (1990)
31. C. Tsallis, J. Stat. Phys. 52, 479 (1988)
32. C. Tsallis, R.S. Mendes, and A.R. Plastino, Physica A 261, 534 (1998).
33. C. Tsallis, Braz. J. Phys. 29, 1 (1999)
34. S. Abe, Y. Okamoto (eds.), Nonextensive Statistical Mechanics and Its Applications, Springer, Berlin (2001)
35. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, North Holland, Amsterdam (1981)
36. A.R. Plastino and A. Plastino, Physica A 222, 347 (1995)
37. C. Tsallis and D.J. Bukmann, Phys. Rev. E 54, R2197 (1996)
38. S. Jung and H.L. Swinney, Phys. Rev. E 72, 026304 (2005)
39. U. Harder and M. Paczuski, cs/PF/0412027
40. A. La Porta, G.A. Voth, A.M. Crawford, J. Alexander, and E. Bodenschatz, Nature 409, 1017 (2001)
41. N. Mordant, A.M. Crawford, and E. Bodenschatz, Phys. Rev. Lett. 93, 214501 (2004)
42. A.M. Reynolds, N. Mordant, A.M. Crawford, and E. Bodenschatz, New J. Phys. 7, 58 (2005)
43. N. Mordant, P. Metz, O. Michel, and J.-F. Pinton, Phys. Rev. Lett 87, 214501 (2001)
44. N. Mordant, E. Leveque, and J.-F. Pinton, New J. Phys. 6, 116 (2004)
45. J.S. van Zon et al., cond-mat/0405044
46. L.F. Burlaga and A.F. Vinas, J. Geophys. Res. 109, A12107 (2004)
47. J. Luczka and B. Zaborek, Acta Phys. Polon. B 35, 2151 (2004)
48. A.M. Mathai and H.J. Haubold, Physica A 375, 110 (2007)
49. B.L. Sawford, Phys. Fluids A3, 1577 (1991)
50. S.B. Pope, Phys. Fluids 14, 2360 (2002)
51. K.E. Daniels, E. Bodenschatz, Phys. Rev. Lett. 88, 034501 (2002)
52. K.E. Daniels, E. Bodenschatz, Chaos 13, 55 (2003)
53. C. Tsallis, J.C. Anjos, E.P. Borges, Phys. Lett. A 310, 372 (2003)
54. R. Hagedorn, Nuovo Cimento 3, 147 (1965)
55. C. Beck, Physica A 286, 164 (2000)
56. D. Brockmann, this volume.
57. L. Leon Chen, C. Beck, Physica A 387, 3162 (2008)