Anomalous diffusion resulting from strongly asymmetric random walks

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

Volumn 57, Issue 5, 1998, Pages 4915-4920

  Weeks, Eric R ^a   Swinney, Harry L ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001336176     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.4915     Document Type: Article

References (39)

1. A. Einstein, Ann. Phys. (Leipzig) 17, 549 (1905).
2. J. P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
3. M. F. Shlesinger, G. M. Zaslavsky, and J. Klafter, Nature (London) 363, 31 (1993); NATUAS
4. J. Klafter, M. F. Shlesinger, and G. Zumofen, Phys. Today 49 (2), 33 (1996).
5. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Phys. Rev. Lett. 71, 3975 (1993).
6. T. H. Solomon, E. R. Weeks, and H. L. Swinney, Physica D 76, 70 (1994).
7. E. R. Weeks, T. H. Solomon, J. S. Urbach, and H. L. Swinney, in Lévy Flights and Related Topics in Physics, edited by M. F. Shlesinger, G. M. Zaslavsky, and U. Frisch (Springer-Verlag, Heidelberg, 1995), p. 51.
8. E. R. Weeks, J. S. Urbach, and H. L. Swinney, Physica D 97, 291 (1996).
9. R. Ramshankar, D. Berlin, and J. P. Gollub, Phys. Fluids A 2, 1955 (1990).
10. R. Ramshankar and J. P. Gollub, Phys. Fluids A 3, 1344 (1991).
11. A. R. Osborne, A. D. Kirwan, Jr., A. Provenzale, and L. Bergamasco, Tellus 41A, 416 (1989).
12. A. Ott, J. P. Bouchaud, D. Langevin, and W. Urbach, Phys. Rev. Lett. 65, 2201 (1990).
13. J. P. Bouchaud, A. Ott, D. Langevin, and W. Urbach, J. Phys. II 1, 1465 (1991).
14. O. Cardoso and P. Tabeling, Europhys. Lett. 7, 225 (1988).
15. O. Cardoso and P. Tabeling, Eur. J. Mech. B/Fluids 8, 459 (1989).
16. O. Cardoso, B. Gluckmann, O. Parcollet, and P. Tabeling, Phys. Fluids 8, 209 (1996).
17. H. Scher and E. W. Montroll, Phys. Rev. B 12, 2455 (1975).
18. G. Pfister and H. Scher, Adv. Phys. 27, 747 (1978).
19. J. D. Meiss and E. Ott, Phys. Rev. Lett. 55, 2741 (1985).
20. J. D. Meiss and E. Ott, Physica D 20, 387 (1986).
21. G. Petschel and T. Geisel, Phys. Rev. A 44, 7959 (1991).
22. J. B. Weiss and E. Knobloch, Phys. Rev. A 40, 2579 (1989).
23. G. M. Zaslavsky, D. Stevens, and H. Weitzner, Phys. Rev. E 48, 1683 (1993).
24. T. Geisel, J. Nierwetberg, and A. Zacherl, Phys. Rev. Lett. 54, 616 (1985).
25. T. Geisel, A. Zacherl, and G. Radons, Phys. Rev. Lett. 59, 2503 (1987).
26. T. Geisel, A. Zacherl, and G. Radons, Z. Phys. B 71, 117 (1988).
27. G. M. Zaslavsky, Physica D 76, 110 (1994).
28. D. del-Castillo-Negrete, Phys. Fluids 10, 576 (1998).
29. F. Bardou, J. P. Bouchaud, O. Omile, A. Aspect, and C. Cohen-Tannoudji, Phys. Rev. Lett. 72, 203 (1994).
30. J. Reichel, F. Bardou, M. Ben Dahan, E. Peik, S. Rand, C. Salomon, and C. Cohen-Tannoudji, Phys. Rev. Lett. 75, 4575 (1995).
31. M. F. Shlesinger and J. Klafter, in Perspectives in Nonlinear Dynamics, edited by M. F. Shlesinger, R. Cawley, A. W. Saenz, and W. Zachary (World, Singapore, 1986), p. 336.
32. J. Klafter, A. Blumen, and M. F. Shlesinger, Phys. Rev. A 35, 3081 (1987).
33. X.-J. Wang, Phys. Rev. A 45, 8407 (1992).
34. M. F. Shlesinger, J. Stat. Phys. 10, 421 (1974).
35. J. Klafter and G. Zumofen, Phys. Rev. E 49, 4873 (1994).
36. Ya. G. Sinai, Theor. Probab. Appl. 27, 256 (1982).
37. E. Marinari, G. Parisi, D. Ruelle, and P. Windey, Phys. Rev. Lett. 50, 1223 (1983).
38. B. B. Mandelbrot and J. W. Van Ness, SIAM (Soc. Ind. Appl. Math.) Rev. 10, 422 (1968).
39. W. R. Young, J. Fluid Mech. 193, 129 (1988). JFLSA7