From diffusion to anomalous diffusion: A century after Einstein's Brownian motion

Chaos

Volumn 15, Issue 2, 2005, Pages

  Sokolov, I M ^a   Klafter, J ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31144434675     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1860472     Document Type: Article

References (25)

1. A. Einstein, Investigations on the Theory of Brownian Movement (Dover, New York, 1956).
2. E. W. Montroll and G. H. Weiss, J. Math. Phys. 6, 167 (1965).
3. H. Scher and M. Lax, Phys. Rev. B 0556-2805 10.1103/PhysRevB.7.4491 7, 4491 (1973); H. Scher and E. W. Montroll, Phys. Rev. B 12, 2455 (1975).
4. H. Scher and M. Lax, Phys. Rev. B 0556-2805 10.1103/PhysRevB.7.4491 7, 4491 (1973); H. Scher and E. W. Montroll, Phys. Rev. B 12, 2455 (1975).
5. H. Scher, M. F. Shlesinger, and J. T. Bendler, Phys. Today 44 (1), 26 (1991).
6. J. P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
7. A. Blumen, J. Klafter, and G. Zumofen in Optical Spectroscopy of Glasses, edited by, I. Zschokke, (Reidel, Dordrecht, 1986) pp. 199-265.
8. R. Metzler, and J. Klafter, Phys. Rep. 339, 1 (2000).
9. I. M. Sokolov, J. Klafter, and A. Blumen, Phys. Today 55 (11), 48 (2002).
10. G. G. Infante López, H. Hermanns and J.-P. Katoen, Lect. Notes Comput. Sci. 0302-9743 2165, 57 (2001); see also N. Limnios, Commun. Stat: Theory Meth. 33, 3, xiii (2004).
11. G. G. Infante López, H. Hermanns and J.-P. Katoen, Lect. Notes Comput. Sci. 0302-9743 2165, 57 (2001); see also N. Limnios, Commun. Stat: Theory Meth. 33, 3, xiii (2004).
12. A. I. Saichev, and S. G. Utkin, Modern Problems of Statistical Physics 1, 5 (2002).
13. M. Shlesinger, B. J. West, and J. Klafter, Phys. Rev. Lett. 58, 1100 (1987).
14. I. M. Sokolov, Phys. Rev. E 63, 011104 (2001).
15. E. Barkai, R. Metzler, and J. Klafter, Phys. Rev. E 61, 132 (2000).
16. A. A. Stanislavsky, Phys. Rev. E 67, 021111 (2003).
17. I. M. Sokolov, A. V. Chechkin, and J. Klafter, Acta Phys. Pol. B, 35, 1323 (2004).
18. M. Caputo, Elasticit̀ e Dissipazione (Zanichelli Printer, Bologna, 1969).
19. A. V. Chechkin, R. Gorenflo, and I. M. Sokolov, Phys. Rev. E 66, 046129 (2002).
20. R. Zwanzig, Phys. Rev. 124, 983 (1961).
21. V. M. Kenkre and R. S. Knox, Phys. Rev. B 9 5279 (1974).
22. I. M. Sokolov, Phys. Rev. E 66, 041101 (2002).
23. J. Klafter and R. J. Silbey, Phys. Lett. 76A, 143 (1980).
24. A. V. Chechkin, R. Gorenflo, I. M. Sokolov, and V. Yu. Gonchar, Fractional Calculus and Applied Analysis 6, 259 (2003).
25. A. V. Chechkin, J. Klafter, and I. M. Sokolov, Europhys. Lett. 63, 326 (2003).