Rescaling invariance and anomalous transport in a stochastic layer

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

Volumn 60, Issue 6, 1999, Pages

  Abdullaev, S S ^a   Spatschek, K H ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0000360637     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.R6287     Document Type: Article

References (32)

1. C.F.F. Karney, Physica D 8, 360 (1983).
2. B.V. Chirikov and D.L. Shepelyansky, Physica D 13, 395 (1984)
3. B.V. Chirikov, Chaos, Solitons and Fractals 1, 79 (1991).
4. J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
5. M.F. Shlesinger, G.M. Zaslavsky, and J. Klafter, Nature (London) 363, 31 (1993)
6. J. Klafter, M.F. Shlesinger, and G. Zumofen, Phys. Today 49(2), 33 (1996).
7. J.B. Weiss, and E. Knobloch, Phys. Rev. A 40, 2579 (1989).
8. J.B. Weiss, Phys. Fluids A 3, 1379 (1991).
9. E. Weeks, J.S. Urbach, and H. Swinney, Physica D 97, 291 (1996).
10. D. del Castillo-Negrete, Phys. Fluids 10, 576 (1998).
11. R. Balescu, Phys. Rev. E 51, 4807 (1995).
12. G. Zimbardo and P. Veltri, Phys. Rev. E 51, 1412 (1995).
13. F.D. Angelo and R. Paccagnella, Phys. Plasmas 3, 2353 (1996).
14. G.M. Zaslavsky, D. Stevens, and H. Weitzner, Phys. Rev. E 48, 1683 (1993).
15. G. Zumofen and J. Klafter, Phys. Rev. E 47, 851 (1993)
16. Phys. Rev. EJ. Klafter and G. Zumofen, 49, 4873 (1994).
17. R. Balescu, Phys. Rev. E 55, 2465 (1997).
18. N.N. Filonenko and G.M. Zaslavsky, Sov. Phys. JETP 25, 851 (1968).
19. B.V. Chirikov, Phys. Rep. 52, 256 (1979).
20. Hamiltonian Dynamical Systems - A Reprint Selection, edited by R.S. MacKay and J.D. Meiss (Adam Hilger, Bristol, 1987).
21. D.F. Escande, Phys. Rep. 121, 165 (1985).
22. D.F. Escande, in Proceedings of the International Workshop, Kiev, 1987, edited by V.G. Bar’yakhtar, V.M. Chernousenko, N.S. Erokhin, A.G. Sitenko, and A.V. Zakharov (World Scientific, Singapore, 1988), pp. 398–430.
23. A. Lichtenberg and B. Wood, Phys. Rev. A 39, 2153 (1989).
24. T. Ahn and S. Kim, Phys. Rev. E 49, 2900 (1994).
25. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport, (Cambridge University Press, Cambridge, England, 1989).
26. S.S. Abdullaev and G.M. Zaslavsky, Bull. Am. Phys. Soc. 39, 1659 (1994)
27. G.M. Zaslavsky and S.S. Abdullaev, Phys. Rev. E 51, 3901 (1995).
28. S.S. Abdullaev and G.M. Zaslavsky, Phys. Plasmas 2, 4533 (1995).
29. S.S. Abdullaev, Phys. Lett. A 234, 281 (1997).
30. S.S. Abdullaev and G.M. Zaslavsky, Phys. Plasmas 3, 516 (1996).
31. Y.-C. Lai, M. Ding, and C. Grebogi, Phys. Rev. E 47, 86 (1993).
32. Ph. Ghendrih, A. Grosman, and H. Capes, Plasma Phys. Controlled Fusion 38, 1653 (1996).