Reactions controlled by enhanced diffusion: Deterministic and stochastic approaches

Chemical Physics

Volumn 212, Issue 1 SPEC. ISSUE, 1996, Pages 89-98

  Zumofen, G ^a   Klafter, J ^b   Shlesinger, M F ^c  

^a ETH ZURICH   (Switzerland)

^b TEL AVIV UNIVERSITY   (Israel)

^c OFFICE OF NAVAL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030588759     PISSN: 03010104     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-0104(96)00219-4     Document Type: Article

References (45)

1. M. von Smoluchowski, Z. Phys. Chem. 92 (1917) 129.
2. J. Laidler, Chemical kinetics (McGraw-Hill, New York, 1950).
3. T.R. Waite, Phys. Rev. 107 (1957) 463; 471.
4. A.A. Ovchinnikov and Ya.B. Zeldovich, Chem. Phys. 28 (1978) 215.
5. D. Toussaint and F. Wilczek, J. Chem. Phys. 78 (1983) 2642.
6. A. Blumen, J. Klafter and G. Zumofen, in: Optical spectroscopy of glasses, ed. I. Zschokke (Reidel, Dordrecht, 1986) 199.
7. V. Kuzovkov and E. Kotomin, Rep. Progr. Phys. 51 (1988) 1479.
8. J.M. Ottino, The kinematics of mixing: Stretching, chaos and transport, (Cambridge University Press, Cambridge, 1989).
9. K. Kang and S. Redner, Phys. Rev. Lett. 52 (1984) 955.
10. F. Leyvraz and S. Redner, Phys. Rev, A 46 (1992) 3132.
11. G.H. Weiss, R. Kopelman, and S. Havlin, Phys. Rev. A 39 (1989) 466.
12. G. Zumofen, A. Blumen and J. Klafter, J. Chem. Phys. 82 (1985) 3198.
13. G. Zumofen, J. Klafter and A. Blumen, J. Stat. Phys. 65 (1991) 1015.
14. E. Clément, L.M. Sander and R. Kopelman, Phys. Rev. A 39 (1989) 6455.
15. I.M. Sokolov and A. Blumen, Phys. Rev. A 43 (1991) 6545; A.G. Vitukhnovsky, B.L. Pyttel and I.M. Sokolov, Phys. Lett. A 128 (1988) 161.
16. I.M. Sokolov and A. Blumen, Phys. Rev. A 43 (1991) 6545; A.G. Vitukhnovsky, B.L. Pyttel and I.M. Sokolov, Phys. Lett. A 128 (1988) 161.
17. A. Lin, R. Kopelman and P. Argyrakis, Phys. Rev. E 53 (1996) 1502.
18. P. Lévy, Théorie de l'addition des variables aléatoires (Gauthier Villars, Paris, 1937).
19. B. Mandelbrot, The fractal geometry in nature (Freeman, San Francisco, CA, 1982).
20. J.-P. Bouchaud and A. Georges, Phys. Rep. 195 (1990) 127.
21. M.F. Shlesinger, G.M. Zaslavsky and U. Frisch, eds. Lévy flights and related topics in physics (Springer, Berlin, 1995).
22. G. Zumofen and J. Klafter, Phys. Rev. E 47 (1993) 851.
23. G. Trefán, E. Floriani, B.J. West and P. Grigolini, Phys. Rev. E 50 (1994) 2564.
24. J. Klafter, G. Zumofen and M.F. Shlesinger, in: Chaos - The interplay between stochastic and deterministic behavior, eds, P. Garbaczewski and M.W.A. Weron (Springer, Berlin, 1995).
25. G. Zumofen and J. Klafter, Phys. Rev. E 51 (1995) 2805.
26. M.F. Shlesinger, G.M. Zaslavsky and J. Klafter, Nature 263 (1993) 31.
27. J. Klafter, M.F. Shlesinger and G. Zumofen, Phys. Today 492 (1996) 33.
28. A. Ott, J.P. Bouchaud, D. Lagevin and W. Urbach, Phys. Rev. Lett. 65 (1990) 2201.
29. F. Hayot, Phys. Rev. A 43 (1991) 806.
30. J.A. Viecelli, Phys. Fluids A 2 (1990) 2036.
31. O.V. Bychuck and B. O'Shaugnessy, Phys. Rev. Lett. 74 (1995) 1795.
32. H. Aref, J. Fluid Mech. 143 (1984) 1.
33. G.M. Zaslavsky, Chaos 4 (1994) 1.
34. G. Zumofen and J. Klafter, Europhys. Lett. 25 (1994) 565.
35. G. Zumofen and J. Klafter, Chem. Phys. Lett. 219 (1994) 303.
36. D.S. Sholl and R.T. Skodje, Physica D 71 (1994) 168.
37. S.B. Altner, M. Mitsunaga, G. Zumofen and U.P. Wild, Phys. Rev. Lett. 76 (1996) 1747.
38. G.M. Zaslavsky, D. Stevens and H. Weitzner, Phys. Rev. E 48 (1993) 1683.
39. J. Klafter and G. Zumofen, Phys. Rev. E 49 (1994) 4873.
40. T.H. Solomon, E.R. Weeks and H.L. Swinney, Phys. Rev. Lett. 71 (1993) 3975.
41. G. Zumofen and J. Klafter Phys. Rev. E 50 (1994) 5119.
42. S.O. Rice, Bell Syst. Tech. J. 24 (1945) 51.
43. H. Cramér and M.R. Leadbetter, Stationary and related stochastic processes (Wiley, New York, 1968).
44. V. Seshadri and B.J. West, Proc. Natl. Acad. Sci. USA 79 (1982) 4501.
45. S. Havlin and D. Ben-Avraham, Adv. Phys. 36 (1987) 695.