Inverse cascade and intermittency of passive scalar in one-dimensional smooth flow

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

Volumn 56, Issue 5, 1997, Pages 5483-5499

  Chertkov, M ^a   Kolokolov, I ^b   Vergassola, M ^c  

^a PRINCETON UNIVERSITY   (United States)

^b BUDKER INSTITUTE OF NUCLEAR PHYSICS   (Russian Federation)

^c CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001195579     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.5483     Document Type: Article

References (35)

1. G. K. Batchelor, J. Fluid Mech. 5, 113 (1959).JFLSA7
2. R. Kraichnan, Phys. Fluids 11, 945 (1968).PFLDAS
3. A. M. Obukhov, Izv. Akad. Nauk SSSR, Geogr. Geofiz. 13, 58 (1949).
4. B. Shraiman and E. Siggia, Phys. Rev. E 49, 2912 (1994).PLEEE8
5. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 51, 5609 (1995).PLEEE8
6. R. Kraichnan, Phys. Rev. Lett. 72, 1016 (1994).PRLTAO
7. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 52, 4924 (1995).PLEEE8
8. K. Gawedzki and A. Kupianen, Phys. Rev. Lett. 75, 3834 (1995).PRLTAO
9. B. Shraiman and E. Siggia, C. R. Acad. Sci. Ser. II 321, 279 (1995).
10. M. Chertkov, Phys. Rev. E 55, 2722 (1997).PLEEE8
11. W. J. Cocke, Phys. Fluids 12, 2488 (1969).PFLDAS
12. S. A. Orszag, Phys. Fluids 13, 2203 (1970).PFLDAS
13. M. Vergassola and M. Avellaneda, Physica D 106, 148 (1997).PDNPDT
14. M. Vergassola and A. Mazzino, Phys. Rev. Lett. 78, 1849 (1997).PRLTAO
15. Ya. B. Zel’dovich, S. A. Molchanov, A. A. Ruzmaikin, and D. D. Sokolov, Sov. Phys. JETP 62, 1188 (1985).SPHJAR
16. R. Kraichnan, Phys. Fluids 10, 1417 (1967).PFLDAS
17. V. Zakharov, V. L’vov, and G. Falkovich, Kolmogorov Spectra of Turbulence I (Springer, Berlin, 1992).
18. A. M. Polyakov, Phys. Rev. E 52, 6183 (1995).PLEEE8
19. V. Yakhot, Phys. Rev. E 55, 329 (1997).PLEEE8
20. G. Falkovich, I. Kolokolov, V. Lebedev, and A. Migdal, Phys. Rev. E 54, 4896 (1996).PLEEE8
21. U. Frisch, Turbulence. The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, 1995).
22. M. Chertkov, A. Gamba, and I. Kolokolov, Phys. Lett. A 192, 435 (1994).PYLAAG
23. I. S. Gradsteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1965).
24. G. Falkovich (private communication).
25. M. Chertkov, I. Kolokolov, and M. Vergassola, chao-dyn/9706016.
26. M. Vergassola, Phys. Rev. E 53, R3021 (1996).PLEEE8
27. L. Smith and V. Yakhot, Phys. Rev. Lett. 71, 352 (1993).PRLTAO
28. V. Yakhot (unpublished).
29. N. Hatano and D. R. Nelson, Phys. Rev. Lett. 77, 570 (1996).PRLTAO
30. K. B. Efetov, cond-mat/9702091.
31. Y. V. Fyodorov, B. A. Khorugenko, and H.-J. Sommers, cond-mat/9703152.
32. J. T. Chalker and Z. J. Wang, cond-mat/9704198.
33. C. de Dominicis, J. Phys. (Paris), Colloq. 37, C1-247 (1976).JPQCAK
34. H. Janssen, Z. Phys. B 23, 377 (1976).ZPBBDJ
35. E. Balkovsky, M. Chertkov, I. Kolokolov, and V. Lebedev, JETP Lett. 61, 1012 (1995). JTPLA2