Renormalization group, operator product expansion, and anomalous scaling in a model of advected passive scalar

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

Volumn 58, Issue 2, 1998, Pages 1823-1835

  Adzhemyan, Loran Ts ^a   Antonov, Nikolaj V ^a   Vasil’ev, Alexander N ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001036044     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.1823     Document Type: Article

References (53)

1. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975), Vol. 2.
2. S. A. Orszag, Lectures on the Statistical Theory of Turbulence, in Fluid Dynamics (Les Houches Lectures) edited by R. Balian and J. L. Peube (Gordon and Breach, London,1973), p. 235.
3. R. A. Antonia, B. R. Satyaprakash, and A. K. M. F. Hussian, J. Fluid Mech. 119, 55 (1982).JFLSA7
4. F. Anselmet, Y. Gagne, E. Hopfinger, and R. A. Antonia, J. Fluid Mech. 140, 63 (1984).JFLSA7
5. V. R. Kuznetsov and V. A. Sabel’nikov, Turbulence and Combustion (Hemisphere Publishing, New York, 1990).
6. C. Meneveau and K. R. Sreenivasan, Phys. Rev. A 41, 2246 (1990).PLRAAN
7. M. S. Borgas, Phys. Fluids A 4, 2055 (1992).PFADEB
8. N. N. Bogoliubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields (Wiley, New York, 1980).
9. J. Collins, Renormalization (Cambridge University Press, Cambridge, 1984).
10. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989).
11. C. De Dominicis and P. C. Martin, Phys. Rev. A 19, 419 (1979).PLRAAN
12. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Usp. Fiz. Nauk 166, 1257 (1996) [Sov. Phys. Usp. 39, 1193 (1996)].SOPUAP
13. L. Ts. Adzhemyan, N. V. Antonov, and A. N. Vasil’ev, Zh. Éksp. Teor. Fiz. 95, 1272 (1989) [Sov. Phys. JETP 68, 733 (1989)].SPHJAR
14. N. V. Antonov and A. N. Vasil’ev, Theor. Math. Phys. 110, 97 (1997).TMPHAH
15. L. Ts. Adzhemyan, N. V. Antonov, and T. L. Kim, Theor. Math. Phys. 100, 1086 (1994).TMPHAH
16. L. Ts. Adzhemyan, S. V. Borisenok, and V. I. Girina, Theor. Math. Phys. 105, 1556 (1995).TMPHAH
17. N. V. Antonov, S. V. Borisenok, and V. I. Girina, Theor. Math. Phys. 106, 75 (1996).TMPHAH
18. G. L. Eyink, Phys. Fluids 6, 3063 (1994).PHFLE6
19. N. V. Antonov, S. V. Borisenok, and V. I. Girina, Theor. Math. Phys. 107, 456 (1996).TMPHAH
20. L. Ts. Adzhemyan, A. N. Vasil’ev, and Yu. M. Pis’mak, Theor. Math. Phys. 57, 1131 (1983).TMPHAH
21. L. Ts. Adzhemyan, A. N. Vasil’ev, and M. Hnatich, Theor. Math. Phys. 74, 115 (1988).TMPHAH
22. R. H. Kraichnan, Phys. Fluids 7, 1723 (1964)
23. Phys. FluidsR. H. Kraichnan8, 575 (1965).
24. S. Chen and R. H. Kraichnan, Phys. Fluids A 1, 2019 (1989).PFADEB
25. S. L. Woodruff, Phys. Fluids 6, 3051 (1994).PHFLE6
26. L. Ts. Adzhemyan and N. V. Antonov, St Petersburg University Report No. SPbU-IP-97, 1997 [Theor. Math. Phys. (to be published)].
27. A. M. Obukhov, Izv. Akad. Nauk. SSSR, Geogr. Geofiz. 13, 58 (1949).IAGYAM
28. R. H. Kraichnan, Phys. Fluids 11, 945 (1968).PFLDAS
29. R. H. Kraichnan, Phys. Rev. Lett. 72, 1016 (1994)
30. Phys. Rev. Lett.R. H. Kraichnan78, 4922 (1997).
31. R. H. Kraichnan, V. Yakhot, and S. Chen, Phys. Rev. Lett. 75, 240 (1995).PRLTAO
32. G. Eyink, Phys. Rev. E 54, 1497 (1996); PLEEE8
33. G. Eyink and J. Xin, Phys. Rev. Lett. 77, 2674 (1996).PRLTAO
34. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 52, 4924 (1995).PLEEE8
35. M. Chertkov and G. Falkovich, Phys. Rev. Lett. 76, 2706 (1996).PRLTAO
36. K. Gawȩdzki and A. Kupiainen, Phys. Rev. Lett. 75, 3834 (1995).PRLTAO
37. D. Bernard, K. Gawȩdzki, and A. Kupiainen, Phys. Rev. E 54, 2564 (1996).PLEEE8
38. B. I. Shraiman and E. D. Siggia, C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers. 321, 279 (1995).CRAMED
39. M. Chertkov, G. Falkovich, and V. Lebedev, Phys. Rev. Lett. 76, 3707 (1996).PRLTAO
40. A. L. Fairhall, O. Gat, V. L’vov, and I. Procaccia, Phys. Rev. E 53, 3518 (1996).PLEEE8
41. V. Yakhot, Phys. Rev. E 55, 329 (1997).PLEEE8
42. A. Pumir, B. I. Shraiman, and E. D. Siggia, Phys. Rev. E 55, R1263 (1997).PLEEE8
43. O. Gat, V. L’vov, E. Podivilov, and I. Procaccia, Phys. Rev. E 55, R3836 (1997).PLEEE8
44. L. Ts. Adzhemyan, A. N. Vasil’ev, and M. Hnatich, Theor. Math. Phys. 58, 47 (1984).TMPHAH
45. P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A 8, 423 (1973).PLRAAN
46. H. K. Janssen, Z. Phys. B 23, 377 (1976).ZPCMDN
47. R. Bausch, H. K. Janssen, and H. Wagner, Z. Phys. B. 24, 113 (1976).ZPCMDN
48. C. De Dominicis, J. Phys. (Paris), Colloq. 37, C1-247 (1976).JPQCAK
49. A. P. Prudnikov, Y. A. Brychkov, and O. I. Marichev, Integrals and Series (Gordon and Breach, New York, 1986), Vols. 1 and 2.
50. A. N. Vasil’ev, Functional Methods in Quantum Field Theory and Statistics (Leningrad University Press, Leningrad, 1976) (in Russian; English translation: Gordon and Breach, New York, 1998).
51. V. Yakhot, Z.-S. She, and S. A. Orszag, Phys. Fluids A 1, 289 (1989).PFADEB
52. B. Duplantier and A. Ludwig, Phys. Rev. Lett. 66, 247 (1991).PRLTAO
53. G. L. Eyink, Phys. Lett. A 172, 355 (1993).