Diffusion of passive scalar in a finite-scale random flow

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 4 2, 2004, Pages

  Schekochihin, Alexander A ^a   Haynes, Peter H ^a   Cowley, Steven C ^b,c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFUSION; INTEGRATION; INTEGRODIFFERENTIAL EQUATIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MIXING; SPECTRUM ANALYSIS; TURBULENT FLOW;

FLOW SEPARATION; RANDOM VELOCITY FIELDS; SCALAR DECAY; SCALAR VARIANCE;

RANDOM PROCESSES;

EID: 41349120259     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.046304     Document Type: Article

References (33)

1. T. M. Antonsen, Z. Fan, E. Ott, and E. Garcia-Lopez, Phys. Fluids 8, 3094 (1996).
2. D. T. Son, Phys. Rev. E 59, R3811 (1999).
3. E. Balkovsky and A. Fouxon, Phys. Rev. E 60, 4164 (1999).
4. G. Falkovich, K. Gawȩdzki, and M. Vergassola, Rev. Mod. Phys. 73, 913 (2001).
5. R. T. Pierrehumbert, Chaos, Solitons Fractals 4, 1091 (1994).
6. R. T. Pierrehumbert, Chaos 10, 61 (2000).
7. D. R. Fereday, P. H. Haynes, A. Wonhas, and J. C. Vassilicos, Phys. Rev. E 65, 035301(R) (2002).
8. J. Sukhatme and R. T. Pierrehumbert, Phys. Rev. E 66, 056302 (2002).
9. D. Rothstein, E. Henry, and J. P. Gollub, Nature (London) 401, 770 (1999).
10. G. A. Voth, T. C. Saint, G. Dobler, and J. P. Gollub, Phys. Fluids 15, 2560 (2003).
11. A. A. Schekochihin, S. C. Cowley, J. L. Maron, and J. C. McWilliams, Phys. Rev. Lett. 92, 064501 (2004).
12. J.-L. Thiffeault and S. Childress, Chaos 13, 502 (2003).
13. M. Chertkov and V. Lebedev, Phys. Rev. Lett. 90, 034501 (2003).
14. D. R. Fereday and P. H. Haynes, Phys. Fluids (to be published 2004).
15. J. Sukhatme, e-print nlin.CD/0401016.
16. A. J. Majda and P. R. Kramer, Phys. Rep. 314, 237 (1999).
17. P. H. Haynes and J. Vanneste, Phys. Fluids (to be published 2005).
18. R. H. Kraichnan, Phys. Fluids 11, 945 (1968).
19. G. K. Batchelor, J. Fluid Mech. 5, 113 (1959).
20. R. H. Kraichnan, J. Fluid Mech. 64, 737 (1974).
21. A. A. Schekochihin, S. C. Cowley, G. W. Hammett, J. L. Maron, and J. C. McWilliams, New J. Phys. 4, 84 (2002).
22. V. V. Lebedev and K. S. Turitsyn, Phys. Rev. E 69 036301 (2004).
23. S. Corrsin, J. Aeronaut. Sci. 18, 417 (1951).
24. A. R. Kerstein and P. A. McMurtry, Phys. Rev. E 50, 2057 (1994).
25. M. Gonzalez, Europhys. Lett. 60, 841 (2002).
26. A. M. Obukhov, Izv. Akad. Nauk SSSR, Ser. Geogr. Geofiz. 13, 58 (1949).
27. S. Corrsin, J. Appl. Phys. 22, 469 (1951).
28. J. R. Chasnov, Phys. Fluids 6, 1036 (1994).
29. G. Eyink and J. Xin, J. Stat. Phys. 100, 679 (2000).
30. M. Chaves, G. Eyink, U. Frisch, and M. Vergassola, Phys. Rev. Lett. 86, 2305 (2001).
31. J. E. Guilkey, A. R. Kerstein, P. A. McMurtry, and J. C. Klewicki, Phys. Fluids 9, 717 (1997).
32. A. A. Schekochihin, S. A. Boldyrev, and R. M. Kulsrud, Astrophys. J. 567, 828 (2002).
33. A. Kenstein (private communication).