Anomalous scaling in the anisotropic sectors of the Kraichnan model of passive scalar advection

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

Volumn 62, Issue 4, 2000, Pages 4904-4919

  Arad, Itai ^a   L’vov, Victor S ^a,b   Podivilov, Evgenii ^a,b   Procaccia, Itamar ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b INSTITUTE OF AUTOMATION AND ELECTROMETRY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; CORRELATION METHODS; FUNCTIONS; MATHEMATICAL MODELS; REYNOLDS NUMBER; THERMAL GRADIENTS;

KRAICHNAN MODEL; PASSIVE SCALAR ADVECTION;

TURBULENT FLOW;

EID: 0034295733     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.4904     Document Type: Article

References (12)

1. R. H. Kraichnan, Phys. Fluids 11, 945 (1968).
2. D. Bernard, K. Gawedcki, and A. Kupiainen, Phys. Rev. E 54, 2564 (1996).
3. R. H. Kraichnan, Phys. Rev. Lett. 72, 1016 (1994).
4. V. S. L’vov, I. Procaccia, and A. L. Fairhall, Phys. Rev. E 50, 4684 (1994).
5. K. Gawedzki and A. Kupiainen, Phys. Rev. Lett. 75, 3834 (1995).
6. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedeev, Phys. Rev. E 52, 4924 (1995).
7. A. Fairhall, O. Gat, V. S. L’vov, and I. Procaccia, Phys. Rev. E 53, 3518 (1996).
8. L. Ts. Adzhemyan, N. V. Antonov, and A. V. Vasil’ev, Phys. Rev. E 58, 1823 (1998).
9. G. K. Betchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953).
10. V. S. L’vov and I. Procaccia, Phys. Rev. E 54, 6268 (1996).
11. V. S. L’vov and I. Procaccia, Phys. Rev. Lett. 77, 3541(1996).
12. M. Hamermesh, Group Theory and its Applications to Physical Problems (Addison-Wesley, Reading, MA, 1962). See Chap. 10 for discussion of the irreducible representation of (Formula presented)