Passive particle dynamics in a flow exhibiting transition to turbulence

Physics of Plasmas

Volumn 4, Issue 8, 1997, Pages 2864-2870

  Benkadda, S ^a,d   Gabbai, P ^a,d   Zaslavsky, G M ^b,c  

^a PRINCETON PLASMA PHYSICS LABORATORY   (United States)

^b NEW YORK UNIVERSITY   (United States)

^c POLYTECHNIC UNIVERSITY   (United States)

^d AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; DYNAMICS; MATHEMATICAL MODELS; TRANSPORT PROPERTIES; TURBULENT FLOW;

ANOMALOUS DIFFUSION; PASSIVE PARTICLE DYNAMICS; SCALAR PARTICLE DYNAMICS; SINGULAR ORBIT;

TURBULENCE;

EID: 0031211507     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.872577     Document Type: Article

References (41)

1. M. N. Rosenbluth, R. Z. Sagdeev, J. B. Taylor, and G. M. Zaslavsky, Nucl. Fusion 6, 297 (1966); N. N. Filonenko, R. Z. Sagdeev, and G. M. Zaslavsky, ibid. 7, 253 (1967).
2. M. N. Rosenbluth, R. Z. Sagdeev, J. B. Taylor, and G. M. Zaslavsky, Nucl. Fusion 6, 297 (1966); N. N. Filonenko, R. Z. Sagdeev, and G. M. Zaslavsky, ibid. 7, 253 (1967).
3. V. I. Arnold, C. R. Acad. Sci. 261, 17 (1965).
4. M. Henon, C. R. Acad. Sci. 262, 312 (1966); T. Dombre, U. Frisch, J. Green, A. Mehr, and A. M. Soward, J. Fluid Mech. 167, 353 (1986).
5. M. Henon, C. R. Acad. Sci. 262, 312 (1966); T. Dombre, U. Frisch, J. Green, A. Mehr, and A. M. Soward, J. Fluid Mech. 167, 353 (1986).
6. G. M. Zaslavsky, R. Z. Sagdeev, and A. A. Chernikov, Sov. Phys. JETP 67, 270 (1988).
7. 183, 379 W. Arter, Phys. Lett. A 97, 171 (1983); M. Aref, J. Fluid Mech. 143, 1 (1984); M. Aref, S. W. Jones, S. Mofina, and I. Zawadzki, Physica D 37, 423 (1989).
8. 183, 379 W. Arter, Phys. Lett. A 97, 171 (1983); M. Aref, J. Fluid Mech. 143, 1 (1984); M. Aref, S. W. Jones, S. Mofina, and I. Zawadzki, Physica D 37, 423 (1989).
9. 183, 379 W. Arter, Phys. Lett. A 97, 171 (1983); M. Aref, J. Fluid Mech. 143, 1 (1984); M. Aref, S. W. Jones, S. Mofina, and I. Zawadzki, Physica D 37, 423 (1989).
10. 183, 379 W. Arter, Phys. Lett. A 97, 171 (1983); M. Aref, J. Fluid Mech. 143, 1 (1984); M. Aref, S. W. Jones, S. Mofina, and I. Zawadzki, Physica D 37, 423 (1989).
11. J. M. Ottino, The Kinematic of Mixing: Stretching, Chaos, and Transport (Cambridge University Press, Cambridge, 1989).
12. G. M. Zaslavsky, R. Z. Sagdeev, D. A. Usikov, and A. A. Chernikov, Weak Chaos and Quasiregular Patterns (Cambridge University Press, Cambridge, 1991).
13. E. Dresselhans and M. Tabor, in Topological Fluid Mechanics, edited by H. K. Moffatt and A. Tsinober (Cambridge University Press, Cambridge, 1990), p. 75; J. Phys. A 22, 971 (1989).
14. E. Dresselhans and M. Tabor, in Topological Fluid Mechanics, edited by H. K. Moffatt and A. Tsinober (Cambridge University Press, Cambridge, 1990), p. 75; J. Phys. A 22, 971 (1989).
15. M. Feingold, L. P. Kadanoff, O. Piro, J. Stat. Phys. 50, 529 (1988); C. Amick, S. C. E. Ching, L. P. Kadanoff, and V. Rom-Kedar, J. Nonlinear Sci. 2, 9 (1992); V. Rom-Kedar, A. Leonard, and S. Wiggins, J. Fluid Mech. 214, 347 (1990).
16. M. Feingold, L. P. Kadanoff, O. Piro, J. Stat. Phys. 50, 529 (1988); C. Amick, S. C. E. Ching, L. P. Kadanoff, and V. Rom-Kedar, J. Nonlinear Sci. 2, 9 (1992); V. Rom-Kedar, A. Leonard, and S. Wiggins, J. Fluid Mech. 214, 347 (1990).
17. M. Feingold, L. P. Kadanoff, O. Piro, J. Stat. Phys. 50, 529 (1988); C. Amick, S. C. E. Ching, L. P. Kadanoff, and V. Rom-Kedar, J. Nonlinear Sci. 2, 9 (1992); V. Rom-Kedar, A. Leonard, and S. Wiggins, J. Fluid Mech. 214, 347 (1990).
18. A. A. Chernikov, A. I. Neishtadt, and A. V. Rogal'sky, Chaos 1, 206 (1991);
19. A. A. Chernikov and G. Schmidt, Phys. Lett. A 169 (1992);
20. D. del-Castillo-Negrette and P. J. Morrison, Phys. Fluids A 5, 948 (1993).
21. V. V. Beloshapkin, A. A. Chernikov, M. Ya. Natenzon, B. A. Petrovichev, R. Z. Sagdeev, and G. M. Zaslavsky, Nature 337, 133 (1989); G. M. Zaslavsky, Fluid Dyn. Res. 8, 127 (1991); G. M. Zaslavsky, D. Stevens, and H. Weitzner, Phys. Rev. E 51, 3901 (1995).
22. V. V. Beloshapkin, A. A. Chernikov, M. Ya. Natenzon, B. A. Petrovichev, R. Z. Sagdeev, and G. M. Zaslavsky, Nature 337, 133 (1989); G. M. Zaslavsky, Fluid Dyn. Res. 8, 127 (1991); G. M. Zaslavsky, D. Stevens, and H. Weitzner, Phys. Rev. E 51, 3901 (1995).
23. V. V. Beloshapkin, A. A. Chernikov, M. Ya. Natenzon, B. A. Petrovichev, R. Z. Sagdeev, and G. M. Zaslavsky, Nature 337, 133 (1989); G. M. Zaslavsky, Fluid Dyn. Res. 8, 127 (1991); G. M. Zaslavsky, D. Stevens, and H. Weitzner, Phys. Rev. E 51, 3901 (1995).
24. M. Ottaviani and M. Pettini, Int. J. Modern Phys. B 5, 1243 (1991).
25. A. Babiano, C. Basdevant, B. Legras, and R. Sadourny, J. Fluid Mech. 183, 379 (1987); A. Babiano, G. Boffetta, A. Provenzale, and A. Vulpiani, Phys. Fluids A 6, 2465 (1994); D. Elhmaidi, A. Provenzale, and A. Babiano, J. Fluid Mech. 257, 533 (1993).
26. A. Babiano, C. Basdevant, B. Legras, and R. Sadourny, J. Fluid Mech. 183, 379 (1987); A. Babiano, G. Boffetta, A. Provenzale, and A. Vulpiani, Phys. Fluids A 6, 2465 (1994); D. Elhmaidi, A. Provenzale, and A. Babiano, J. Fluid Mech. 257, 533 (1993).
27. A. Babiano, C. Basdevant, B. Legras, and R. Sadourny, J. Fluid Mech. 183, 379 (1987); A. Babiano, G. Boffetta, A. Provenzale, and A. Vulpiani, Phys. Fluids A 6, 2465 (1994); D. Elhmaidi, A. Provenzale, and A. Babiano, J. Fluid Mech. 257, 533 (1993).
28. K. Ishii and R. Iwatsu, in Topological Fluid Mechanics, edited by H. K. Moffatt and A. Tsinober (Cambridge University Press, Cambridge, 1990), p. 54; K. Ishii, R. Iwatsu, T. Kambe, and N. Matsumoto, in Nonlinear World, edited by V. G. Bar'yakhtar, V. M. Chernousenko, N. S. Erokhin, A. G. Sitenko, and V. E. Zakharov (World Scientific, Singapore, 1990).
29. K. Ishii and R. Iwatsu, in Topological Fluid Mechanics, edited by H. K. Moffatt and A. Tsinober (Cambridge University Press, Cambridge, 1990), p. 54; K. Ishii, R. Iwatsu, T. Kambe, and N. Matsumoto, in Nonlinear World, edited by V. G. Bar'yakhtar, V. M. Chernousenko, N. S. Erokhin, A. G. Sitenko, and V. E. Zakharov (World Scientific, Singapore, 1990).
30. A. Grisanti, M. Falcioni, G. Paladin, and V. Vulpiani, Riv. Nuovo Cimento 14, 1 (1991); A. Cristanti, M. Falcioni, A. Provenzale, P. Tanga, and A. Vulpiani, Phys. Fluids A 4, 1805 (1992); M. H. Jensen, G. Paladin, and A. Vulpiani, Phys. Rev. A 45, 7214 (1992).
31. A. Grisanti, M. Falcioni, G. Paladin, and V. Vulpiani, Riv. Nuovo Cimento 14, 1 (1991); A. Cristanti, M. Falcioni, A. Provenzale, P. Tanga, and A. Vulpiani, Phys. Fluids A 4, 1805 (1992); M. H. Jensen, G. Paladin, and A. Vulpiani, Phys. Rev. A 45, 7214 (1992).
32. A. Grisanti, M. Falcioni, G. Paladin, and V. Vulpiani, Riv. Nuovo Cimento 14, 1 (1991); A. Cristanti, M. Falcioni, A. Provenzale, P. Tanga, and A. Vulpiani, Phys. Fluids A 4, 1805 (1992); M. H. Jensen, G. Paladin, and A. Vulpiani, Phys. Rev. A 45, 7214 (1992).
33. J. G. Charney, Geophys. Publ. Kongl. Norsk. Videnskap. Akad., Oslo 17, 3 (1948); A. Hasegawa, G. G. McRennan, and Y. Kodama, Phys. Fluids 22, 2122 (1979).
34. J. G. Charney, Geophys. Publ. Kongl. Norsk. Videnskap. Akad., Oslo 17, 3 (1948); A. Hasegawa, G. G. McRennan, and Y. Kodama, Phys. Fluids 22, 2122 (1979).
35. F. L. Hinton and C. W. Horton, Phys. Fluids 14, 116 (1971);
36. T. Dudok de Wit, S. Benkadda, P. Gabbai, and A. D. Verga, Phys. Rev. E 52, 6753 (1995).
37. M. V. Nezlin and E. N. Snezhkin, in Rossby Vortices, Spiral Structures, Solitons: Astrophysics and Plasma Physics in Shallow Water Experiments (Springer, Berlin, 1993).
38. A. H. Vasil'ev, G. M. Zaslavsky, R. Z. Sagdeev, and A. A. Chernikov, Sov. J. Plasma Phys. 16, 681 (1991).
39. A. Hasegawa and M. Wakatani, Phys. Rev. Lett. 50, 682 (1983).
40. M. J. Feigenbaum, Phys. Lett. A 74, 375 (1979).
41. G. M. Zaslavsky, Sov. JETP 61, 1176 (1985).