Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusion

Theoretical and Mathematical Physics

Volumn 120, Issue 2, 1999, Pages 1074-1078

  Adzhemyan, L Ts ^a   Antonov, N V ^a   Vasil'ev, A N ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240145     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02557413     Document Type: Article

References (38)

1. 1. A. M. Obukhov, Izv. Akad. Nauk SSSR Ser. Geofiz., 13, 58 (1949).
2. 2. R. H. Kraichnan, Phys. Fluids, 11, 945 (1968).
3. 3. R. H. Kraichnan, Phys. Rev. Lett., 72, 1016 (1994); 78, 4922 (1997).
4. 3. R. H. Kraichnan, Phys. Rev. Lett., 72, 1016 (1994); 78, 4922 (1997).
5. 4. R. H. Kraichnan, V. Yakhot, and S. Chen, Phys. Rev. Lett., 75, 240 (1995).
6. 5. V. Yakhot, Phys. Rev. E, 55, 329 (1997).
7. 6. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E, 52, 4924 (1995).
8. 7. M. Chertkov and G. Falkovich, Phys. Rev. Lett., 76, 2706 (1996).
9. 8. K. Gawȩdzki and A. Kupiainen, Phys. Rev. Lett., 75, 3834 (1995).
10. 9. D. Bernard, K. Gawȩdzki, and A. Kupiainen, Phys. Rev. E, 54, 2564 (1996).
11. 10. D. Gutman and E. Balkovsky, Phys. Rev. E, 54, 4435 (1996).
12. 11. A. Pumir, Europhys. Lett., 34, 25 (1996); 37, 529 (1997); Phys. Rev. E, 57, 2914 (1998).
13. 11. A. Pumir, Europhys. Lett., 34, 25 (1996); 37, 529 (1997); Phys. Rev. E, 57, 2914 (1998).
14. 11. A. Pumir, Europhys. Lett., 34, 25 (1996); 37, 529 (1997); Phys. Rev. E, 57, 2914 (1998).
15. 12. G. L. Eyink, Phys. Rev. E, 54, 1497 (1996); G. L. Eyink and J. Xin, Phys. Rev. Lett., 77, 4166 (1996).
16. 12. G. L. Eyink, Phys. Rev. E, 54, 1497 (1996); G. L. Eyink and J. Xin, Phys. Rev. Lett., 77, 4166 (1996).
17. 13. A. Pumir, B. I. Shraiman, and E. D. Siggia, Phys. Rev. E, 55, R1263 (1997).
18. 14. E. Balkovsky, G. Falkovich, and V. Lebedev, Phys. Rev. E, 55, R4881 (1997).
19. 15. M. Chertkov, Phys. Rev. E, 55, 2722 (1997).
20. 16. A. L. Fairhall, B. Galanti, V. S. L'vov, and I. Procaccia, Phys. Rev. Lett., 79, 4166 (1997).
21. 17. O. Gat, V. S. L'vov, and I. Procaccia, Phys. Rev. E, 56, 406 (1997).
22. 18. U. Frisch, A. Mazzino, and M. Vergassola, Phys. Rev. Lett., 80, 5532 (1998).
23. 19. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil'ev, Phys. Usp., 39, 1193 (1996).
24. 20. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasiliev, Field Theoretic Renormalization Group in Fully Developed Turbulence, Gordon and Breach, London (1999).
25. 21. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, Clarendon, Oxford (1989).
26. 22. A. N. Vasil'ev, Quantum-Field Renormalization Group in the Critical Behavior Theory and in Stochastic Dynamics, St. Petersburg Institute for Nuclear Physics, St. Petersburg (1998).
27. 23. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil'ev, JETP, 68, 733 (1989); N. V. Antonov, J. Sov. Math., 54, 873 (1991).
28. 23. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil'ev, JETP, 68, 733 (1989); N. V. Antonov, J. Sov. Math., 54, 873 (1991).
29. 24. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series [in Russian], Vol. 2, Special Functions, Nauka, Moscow (1983); English transl., Gordon and Breach, New York (1988).
30. 25. B. Duplantiera and A. Ludwig, Phys. Rev. Lett., 66, 247 (1991).
31. 26. G. L. Eyink, Phys. Lett. A, 172, 355 (1993).
32. 27. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil'ev, Phys. Rev. E, 58, 1823 (1998).
33. 28. L. Ts. Adzhemyan and N. V. Antonov, Phys. Rev. E, 58, 7381 (1998).
34. 29. N. V. Antonov, "Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field," Preprint SPbU IP-98-16, St. Petersburg Univ., St. Petersburg (1998); Preprint chao-dyn/9808011 (1998).
35. 30. R. H. Kraichnan, Phys. Fluids, 7, 1723 (1964); 8, 575 (1965).
36. 30. R. H. Kraichnan, Phys. Fluids, 7, 1723 (1964); 8, 575 (1965).
37. 31. S. Chen and R. H. Kraichnan, Phys. Fluids A, 1, 2019 (1989).
38. 32. S. L. Woodruff, Phys. Fluids, 6, 3051 (1994).