One-dimensional Langevin models of fluid particle acceleration in developed turbulence

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

Volumn 69, Issue 2 2, 2004, Pages

  Aringazin, A K ^a,b   Mazhitov, M I ^a  

^a L N GUMILYOV EURASIAN NATIONAL UNIVERSITY   (Kazakhstan)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; PROBABILITY DENSITY FUNCTION; TURBULENCE; VELOCITY MEASUREMENT; WHITE NOISE;

FLUID PARTICLE VELOCITY; FOKKER-PLANCK EQUATIONS; LAGRANGIAN FLUID PARTICLE; RANDOM INTENSITIES OF NOISES (RIN) MODEL;

FLUID DYNAMICS;

EID: 37649026856     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.026305     Document Type: Article

References (39)

1. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
2. R. Johal, e-print cond-mat/9909389.
3. A.K. Aringazin and M.I. Mazhitov, Physica A 325, 409 (2003); e-print cond-mat/0204359.
4. C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003); e-print cond-mat/0205097.
5. C. Beck, e-print cond-mat/0212566.
6. C. Beck, Phys. Rev. Lett. 87, 180601 (2001); e-print cond-mat/0110073.
7. G. Walk and Z. Wlodarczyk, Phys. Rev. Lett. 84, 2770 (2000).
8. C. Beck, Physica A 277, 115 (2000); Phys. Lett. A 287, 240 (2001); Europhys. Lett. 57, 329 (2002); e-print cond-mat/0105371.
9. C. Beck, Physica A 277, 115 (2000); Phys. Lett. A 287, 240 (2001); Europhys. Lett. 57, 329 (2002); e-print cond-mat/0105371.
10. C. Beck, Physica A 277, 115 (2000); Phys. Lett. A 287, 240 (2001); Europhys. Lett. 57, 329 (2002); e-print cond-mat/0105371.
11. A.M. Reynolds, Phys. Fluids 15, L1 (2003).
12. A.K. Aringazin and M.I. Mazhitov, e-print cond-mat/0212462.
13. A.K. Aringazin and M.I. Mazhitov, e-print cond-mat/0301040.
14. A.K. Aringazin and M.I. Mazhitov, Phys. Lett. A 313, 284 (2003); e-print cond-mat/0301245.
15. T. Gotoh and R.H. Kraichnan, e-print nlin.CD/0305040.
16. B. Castaing, Y. Gagne, and E.J. Hopfinger, Physica D 46, 177 (1990).
17. B.L. Sawford, Phys. Fluids A 3, 1577 (1991); S.B. Pope, Phys. Fluids 14, 2360 (2002).
18. B.L. Sawford, Phys. Fluids A 3, 1577 (1991); S.B. Pope, Phys. Fluids 14, 2360 (2002).
19. A.N. Kolmogorov, J. Fluid Mech. 13, 82 (1962); L.D. Landau and E. M. Lifschitz, Fluid Mechanics, 2nd ed. (Pergamon Press, Oxford, 1987).
20. A.N. Kolmogorov, J. Fluid Mech. 13, 82 (1962); L.D. Landau and E. M. Lifschitz, Fluid Mechanics, 2nd ed. (Pergamon Press, Oxford, 1987).
21. A. La Porta, G.A. Voth, A.M. Crawford, J. Alexander, and E. Bodenschatz, Nature (London) 409, 1017 (2001); G.A. Voth, A. La Porta, A.M. Crawford, E. Bodenschatz, and J. Alexander, J. Fluid Mech. 469, 121 (2002); e-print physics/0110027.
22. A. La Porta, G.A. Voth, A.M. Crawford, J. Alexander, and E. Bodenschatz, Nature (London) 409, 1017 (2001); G.A. Voth, A. La Porta, A.M. Crawford, E. Bodenschatz, and J. Alexander, J. Fluid Mech. 469, 121 (2002); e-print physics/0110027.
23. A.M. Crawford, N. Mordant, E. Bodenschatz, and A.M. Reynolds, Phys. Rev. Lett. (to be published), e-print physics/0212080.
24. N. Mordant, J. Delour, E. Leveque, A. Arneodo, and J.-F. Pinton, Phys. Rev. Lett. 89, 254502 (2002); e-print physics/0206013.
25. N. Mordant, A.M. Crawford, and E. Bodenschatz, Physica D (to be published) e-print physics/0303003.
26. R.H. Kraichnan and T. Gotoh, data presented at the CNLS Workshop on Anomalous Distributions, Nonlinear Dynamics, and Nonextensivity, Santa Fe, NM, 2002.
27. B. Hnat, S.C. Chapman, and G. Rowlands, Phys. Rev. E 67, 056404 (2003).
28. J.-P. Laval, B. Dubrulle, and S. Nazarenko, Phys. Fluids 13, 1995 (2001); e-print physics/0101036.
29. J.-P. Laval, B. Dubrulle, and J.C. MCWilliams, Phys. Fluids 15, 1327 (2003).
30. J.F. Muzy and E. Bacry, Phys. Rev. E 66, 056121 (2002).
31. N. Mordant, P. Metz, O. Michel, and J.-F. Pinion, physics/0103084; Phys. Rev. Lett. 87, 214501 (2001).
32. Ch. Renner, J. Peinke, and R. Friedrich, e-print physics/0211121; Ch. Renner, J. Peinke, R. Friedrich, O. Chanal, and B. Chabaud, Phys. Rev. Lett. 89, 124502 (2002).
33. Ch. Renner, J. Peinke, and R. Friedrich, e-print physics/0211121; Ch. Renner, J. Peinke, R. Friedrich, O. Chanal, and B. Chabaud, Phys. Rev. Lett. 89, 124502 (2002).
34. S.C. Chapman, G. Rowlands, and N.W. Watkins, e-print cond-mat/0302624.
35. B. Portelli, P.C.W. Holdsworth, and J.-F. Pinton, Phys. Rev. Lett. 90, 104501 (2003).
36. S. Nazarenko, N.K.-R. Kevlahan, and B. Dubrulle, Physica D 139, 158 (2000).
37. H. Nakao, Phys. Rev. E 58, 1591 (1998).
38. Y. Kuramoto and H. Nakao, Phys. Rev. Lett. 76, 4352 (1996); 78, 4039 (1997).
39. Y. Kuramoto and H. Nakao, Phys. Rev. Lett. 76, 4352 (1996); 78, 4039 (1997).