Biasymptotic formula for the turbulent energy cascade

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

Volumn 60, Issue 4, 1999, Pages 4138-4142

  Badii, R ^a   Talkner, P ^a  

^a PAUL SCHERRER INSTITUTE   (Switzerland)

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EID: 0004576272     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.4138     Document Type: Article

References (22)

1. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 301 (1941).
2. A.S. Monin and A.M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1971), Vol. 1;ibid., Vol. 2.
3. A.N. Kolmogorov, J. Fluid Mech. 13, 82 (1962).
4. A.M. Obukhov, J. Fluid Mech. 13, 77 (1962).
5. F. Anselmet, Y. Gagne, E.J. Hopfinger, and R. Antonia, J. Fluid Mech. 140, 63 (1984).
6. A. Arneodo , Europhys. Lett. 34, 411 (1996).
7. R. Badii and P. Talkner, Phys. Rev. E 59, 6715 (1999).
8. R. Badii and P. Talkner, Europhys. Lett. 43, 284 (1998).
9. B.B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
10. C. Meneveau and K.R. Sreenivasan, Phys. Rev. Lett. 59, 1424 (1987).
11. E.A. Novikov and R.W. Stewart, Izv. Akad. Nauk SSSR, Ser. Geogr. Geofiz. 3, 245 (1964).
12. B.B. Mandelbrot, J. Fluid Mech. 62, 331 (1974).
13. U. Frisch, P.L. Sulem, and M. Nelkin, J. Fluid Mech. 87, 719 (1978).
14. R. Benzi, G. Paladin, G. Parisi, and A. Vulpiani, J. Phys. A 17, 3521 (1984).
15. E.A. Novikov, Phys. Fluids A 2, 814 (1990).
16. E.A. Novikov, Phys. Rev. E 50, 3303 (1994).
17. Z.S. She and E. Lévêque, Phys. Rev. Lett. 72, 336 (1994).
18. S. Chen and N. Cao, Phys. Rev. E 52, 5757 (1995).
19. M. Nelkin, Phys. Rev. E 52, 4610 (1995).
20. Notice, however, that (Formula presented) does not formally satisfy the condition on the second derivative (Formula presented) in Eq. (2.12) because of its discontinuity.
21. J.M. Tchéou, M.E. Brachet, F. Belin, P. Tabeling, and H. Willaime, Physica D 129, 93 (1999).
22. Z.S. She and E.C. Waymire, Phys. Rev. Lett. 74, 262 (1995).