Advection of a passive scalar near two dimensions

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

Volumn 59, Issue 4, 1999, Pages 4112-4121

  Hnatich, M ^a   Honkonen, J ^b   Horvath, D ^c   Semancik, R ^c  

^a INSTITUTE OF EXPERIMENTAL PHYSICS   (Slovakia)

^b UNIVERSITY OF HELSINKI   (Finland)

^c P J AFÁRIK UNIVERSITY   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243381388     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.4112     Document Type: Article

References (39)

1. A. N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 301 (1941) [English translation: Proc. R. Soc. London, Ser. A 434, 15 (1991)].
2. R. H. Kraichnan, J. Fluid Mech. 64, 737 (1974).
3. A. Majda, J. Stat. Phys. 73, 515 (1993).
4. R. H. Kraichnan, Phys. Rev. Lett. 72, 1016 (1994).
5. V. S. L’vov, I. Procaccia, and A. Fairhall, Phys. Rev. E 50, 4684 (1994).
6. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 51, 5609 (1995).
7. R. H. Kraichnan, V. Yakhot, and S. Chen, Phys. Rev. Lett. 75, 240 (1995).
8. K. Gawȩdzki and A. Kupiainen, Phys. Rev. Lett. 75, 3834 (1995).
9. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Phys. Rev. E 58, 1823 (1998).
10. H. W. Wyld, Ann. Phys. (N.Y.) 14, 143 (1961).
11. C. De Dominicis and P. C. Martin, Phys. Rev. A 19, 419 (1979).
12. L. Ts. Adzhemyan, A. N. Vasil’ev, and Yu. M. Pis’mak, Teor. Mat. Fiz. 57, 268 (1983). For a recent review, see
13. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Usp. Fiz. Nauk 166, 1257 (1996) [Phys. Usp. 39, 1193 (1996)].
14. D. Forster, D. R. Nelson, and M. J. Stephen, Phys. Rev. A 16, 732 (1977).
15. L. Ts. Adzhemyan, A. N. Vasil’ev, and M. Hnatich, Teor. Mat. Fiz. 58, 72 (1984).
16. S. Ma and G. F. Mazenko, Phys. Rev. Lett. 33, 1383 (1974).
17. R. Bausch, H. K. Janssen, and H. Wagner, Z. Phys. B 24, 113 (1976).
18. V. Yakhot and S. A. Orszag, J. Sci. Comput. 1, 3 (1986)
19. W. P. Dannevik, V. Yakhot, and S. A. Orszag, Phys. Fluids 30, 2021 (1987).
20. L. M. Smith and W. C. Reynolds, Phys. Fluids A 4, 364 (1992).
21. O. Reynolds, Philos. Trans. R. Soc. London 174, 935 (1883).
22. O. Reynolds, Philos. Trans. R. Soc. London, Ser. A 186, 123 (1895).
23. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Zh. Éksp. Teor. Fiz. 95, 1272 (1989) [Sov. Phys. JETP 68, 733 (1989)].
24. M. Hnatich, Teor. Mat. Fiz. 83, 374 (1990).
25. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, Oxford, 1989).
26. D. Ronis, Phys. Rev. A 36, 3322 (1987).
27. J. Honkonen and M. Yu. Nalimov, Z. Phys. B 99, 297 (1996).
28. L. Ts. Adzhemyan, A. N. Vasil’ev, and M. Hnatich, Teor. Mat. Fiz. 74, 180 (1988).
29. M. Hnatich, D. Horváth, and P. Kopčanský, J. Magn. Magn. Mater. 149, 151 (1995).
30. G. ’t Hooft, Nucl. Phys. B 61, 455 (1973).
31. J. Honkonen, Phys. Rev. E 58, 4532 (1998).
32. V. Yachot and S. A. Orszag, Phys. Fluids 30, 3 (1987).
33. N. V. Antonov, Zh. Éksp. Teor. Fiz. 112, 1649 (1997) [JETP 85, 898 (1997)].
34. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence (MIT Press, Cambridge, 1975), Vol. 2.
35. K. R. Sreenivasan, Phys. Fluids 7, 2778 (1995).
36. K. R. Sreenivasan, Phys. Fluids 8, 189 (1996).
37. O. Gat, V. S. L’vov, E. Podivilov, and I. Procaccia, Phys. Rev. E 55, R3836 (1997)
38. Phys. Rev. EO. Gat, V. S. L’vov, and I. Procaccia, 56, 406 (1997)
39. Phys. Rev. EA. Pumir, 57, 2914 (1998).