Dual multifractal spectra

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 1 2, 2004, Pages 163091-163096

  Roux, Stéphane ^a   Jensen, Mogens H ^b  

^a CNRS   (France)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PROBABILITY; STATISTICS;

DUAL MULTIFRACTAL SPECTRA; VELOCITY FLUCTUATIONS;

TURBULENCE;

EID: 18144371818     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
2. R. Benzi, G. Paladin, G. Parisi, and A. Vulpiani, J. Phys. A 17, 3521 (1984).
3. T.C. Halsey, M.H. Jensen, L.P. Kadanoff, I. Procaccia, and B. Shraiman, Phys. Rev. A 33, 1141 (1986).
4. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 299 (1941); 32, 16 (1941).
5. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 299 (1941); 32, 16 (1941).
6. F. Anselmet, Y. Gagne, E.J. Hopfinger, and R.A. Antonia, J. Fluid Mech. 140, 63 (1984).
7. C.M. Meneveau and K.R. Sreenivasan, Nucl. Phys. B, Proc. Suppl. A49, 2 (1987); C.M. Meneveau K.R. Sreenivasan, P. Kailasnath, and M.S. Fan, Phys. Rev. A 41, 894 (1990).
8. C.M. Meneveau and K.R. Sreenivasan, Nucl. Phys. B, Proc. Suppl. A49, 2 (1987); C.M. Meneveau K.R. Sreenivasan, P. Kailasnath, and M.S. Fan, Phys. Rev. A 41, 894 (1990).
9. J. Maurer, P. Tabeling, and G. Zocchi, Europhys. Lett. 26, 31 (1994).
10. J. Herweijer and W. van de Water, Phys. Rev. Lett. 74, 4651 (1995).
11. M.H. Jensen, G. Paladin, and A Vulpiani, Phys. Rev. A 43, 798 (1991).
12. T. Gotoh and D. Fukayama, Phys. Rev. Lett. 86, 3775 (2001); T. Gotoh, Comput. Phys. Commun. 147, 530 (2002).
13. T. Gotoh and D. Fukayama, Phys. Rev. Lett. 86, 3775 (2001); T. Gotoh, Comput. Phys. Commun. 147, 530 (2002).
14. P. Meakin, in Phase Transition and Critical Phenomena, edited by C. Domb and J.L. Leibowitz (Academic Press, New York, 1988), Vol. 12.
15. L. de Arcangelis, S. Redner, and A. Coniglio, Phys. Rev. B 31, 4725 (1985).
16. G.G. Batrouni, A. Hansen, and M. Nelkin, J. Phys. (Paris) 48, 771 (1987).
17. L. de Arcangelis and H.J. Herrmann, Phys. Rev. B 39, 2678 (1989).
18. M.H. Jensen, Phys. Rev. Lett. 83, 76 (1999).
19. E.B. Gledzer, Sov. Phys. Dokl. 18, 216 (1973).
20. M. Yamada and K. Ohkitani, J. Phys. Soc. Jpn. 56, 4210 (1987); Prog. Theor. Phys. 79, 1265 (1988).
21. M. Yamada and K. Ohkitani, J. Phys. Soc. Jpn. 56, 4210 (1987); Prog. Theor. Phys. 79, 1265 (1988).
22. Z.S. She and E. Leveque, Phys. Rev. Lett. 72, 336 (1994).
23. M. Vergassola (unpublished).
24. L. Biferale, M. Cencini, D. Vergni, and A. Vulpiani, Phys. Rev. E 60, R6295 (1999).
25. L. Biferale, M. Cencini, A. Lanotte, D. Vergni, and A. Vulpiani, Phys. Rev. Lett. 87, 124501 (2001).
26. M.B. Hastings, Phys. Rev. Lett. 88, 055506 (2002).
27. G. Paladin and A. Vulpiani, Phys. Rep. 156, 147 (1987).
28. L. Biferale, A. Lambert, R. Lima, and G. Paladin, Physica D 80, 105 (1995).
29. L. Kadanoff, D. Lohse, J. Wang, and R. Benzi, Phys. Fluids 7, 617 (1995).
30. U. Frisch and M. Vergassola, Europhys. Lett. 14, 439 (1991).
31. W.v.d. Water (private communication).