Turbulent diffusion of lines and circulations

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 368, Issue 6, 2007, Pages 486-490

  Eyink, Gregory L ^a  

^a Whiting School of Engineering   (United States)

Author keywords

Circulations; Dynamo; Fractals; Kraichnan model; Material lines; Turbulence

Indexed keywords

DC GENERATORS; FRACTALS; RANDOM PROCESSES; REYNOLDS NUMBER; STOCHASTIC SYSTEMS; TURBULENCE; VECTOR SPACES;

CIRCULATIONS; KRAICHNAN MODEL; MATERIAL LINES; PASSIVE VECTORS; STOCHASTICITY; STUDY MATERIALS; TURBULENT DIFFUSION;

WHITE NOISE;

EID: 34548071731     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.04.054     Document Type: Article

References (45)

1. Batchelor G.K. Proc. R. Soc. London A 213 (1952) 349
2. Taylor G.I. Observations and speculations on the nature of turbulence motion (1917). In: Batchelor G.K. (Ed). Scientific Papers of Sir Geoffrey Ingram Taylor vol. 2 (1971), Cambridge Univ. Press, Cambridge, UK 69
3. Taylor G.I., and Green A.E. Proc. R. Soc. London A 158 (1937) 499
4. Taylor G.I. Proc. R. Soc. London A 164 (1938) 15
5. Batchelor G.K. Proc. R. Soc. London A 201 (1950) 405
6. Saffman P.G. J. Fluid Mech. 16 (1963) 545
7. Onsager L. Nuovo Cimento 6 (1949) 279
8. Parisi G., and Frisch U. On the singularity structure of fully developed turbulence. In: Gil M., Benzi R., and Parisi G. (Eds). Turbulence and Predictability in Geophysical Fluid Dynamics (1985), North-Holland, Amsterdam 84-88
9. Eyink G.L. J. Stat. Phys. 78 (1995) 353
10. Mandelbrot B.B. Comptes Rendus (Paris) A 282 (1976) 119
11. Sreenivasan K.R., and Meneveau C. J. Fluid Mech. 173 (1986) 357
12. Fung J.C.H., and Vassilicos J.C. Phys. Fluids A 3 (1991) 1433
13. Villermaux E., and Gagne Y. Phys. Rev. Lett. 73 (1994) 252
14. Kivotides D. Phys. Lett. A 318 (2003) 574
15. Nicolleau F.C.G.A., and Elmaihy A. J. Fluid Mech. 517 (2004) 229
16. Helmholtz H. Crelles J. 55 (1858) 25
17. Thomson (Lord Kelvin) W. Trans. R. Soc. Edin. 25 (1869) 217
18. Eyink G.L. C. R. Physique 7 (2006) 449
19. Chen S., Eyink G.L., Xiao Z., and Wan M. Phys. Rev. Lett. 97 (2006) 144505
20. Alfvén H. Arkiv. Mat. Astron. Fysik 29B (1942) 1
21. Eyink G.L., and Aluie H. Physica D 223 (2006) 82
22. Kraichnan R.H. Phys. Fluids 11 (1968) 945
23. Bernard D., Gawȩdzki K., and Kupiainen A. J. Stat. Phys. 90 (1998) 519
24. Gawȩdzki K., and Vergassola M. Physica D 138 (2000) 63
25. E W., and Vanden-Eijnden E. Proc. Natl. Acad. Sci. (USA) 97 (2000) 8200
26. E W., and Vanden-Eijnden E. Physica D 152 (2001) 636
27. Le Jan Y., and Raimond O. C. R. Acad. Sci. Paris Sér. I 327 (1998) 893
28. Le Jan Y., and Raimond O. Ann. Prob. 30 (2002) 826
29. Le Jan Y., and Raimond O. Ann. Prob. 32 (2004) 1247
30. Falkovich G., Gawȩdzki K., and Vergassola M. Rev. Mod. Phys. 73 (2001) 913
31. Kunita H. Stochastic Flows and Stochastic Differential Equations (1990), Cambridge Univ. Press, Cambridge, UK
32. Driver B., and Röckner M. C. R. Acad. Sci. Sér. I 316 (1992) 603
33. Léandre R. Math. Notes 72 (2002) 212
34. Frisch U., Mazzino A., and Vergassola M. Phys. Rev. Lett. 80 (1998) 5532
35. Frisch U., Mazzino A., Noullez A., and Vergassola M. Phys. Fluids 11 (1999) 2178
36. Gat O., Procaccia I., and Zeitak R. Phys. Rev. Lett. 80 (1998) 5536
37. Kazantsev A.P. Sov. Phys. JETP 26 (1968) 1031
38. Vergassola M. Phys. Rev. E 53 (1996) R3021
39. Vincenzi D. J. Stat. Phys. 106 (2002) 1073
40. Celani A., Mazzino A., and Vincenzi D. Proc. R. Soc. A 462 (2006) 137
41. Migdal A.A. hep-th/9303130
42. Migdal A.A. hep-th/9306152
43. Migdal A.A. hep-th/9310088
44. Abraham R., Marsden J.E., and Ratiu T. Manifolds, Tensor Analysis, and Applications. Applied Mathematical Sciences vol. 75 (1983), Springer-Verlag, Berlin
45. Brenier Y. Topics on hydrodynamics and volume preserving maps. Handbook of Mathematical Fluid Dynamics II (2003), North-Holland, Amsterdam 55-86