Above, below and beyond Brownian motion

American Journal of Physics

Volumn 67, Issue 12, 1999, Pages 1253-1259

  Shlesinger, Michael F ^a   Klafter, Joseph ^b   Zumofen, Gert ^c  

^a OFFICE OF NAVAL RESEARCH   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033262784     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19112     Document Type: Article

References (20)

1. A. Einstein, "On the motion, required by the molecular-kinetic theory of heat, of particles suspended in a fluid at rest," Ann. Phys. (Leipzig) 17, 549-560 (1905).
2. J. Perrin, Les Atomes, 4th ed. (Libairie Alcan, Paris, 1914).
3. E. W. Montroll and M. F. Shlesinger, "On the wonderful world of random walks," in Studies in Statistical Mechanics, edited by J. L. Lebowitz and E. W. Montroll (North-Holland, Amsterdam, 1984), Vol. 11, pp. 1-121.
4. M. F. Shlesinger, B. J. West, and J. Klafter, "Levy dynamics of enhanced diffusion: application to turbulence," Phys. Rev. Lett. 58, 1100-1103 (1987).
5. J. Klafter, M. F. Shlesinger, and G. Zumofen, "Beyond Brownian motion," Phys. Today 49, 33-39 (1996).
6. M. F. Shlesinger, "Fractal time in condensed matter," Annu. Rev. Phys. Chem. 39, 269-290 (1988).
7. G. Pfister and H. Scher, "Dispersive non-Gaussian transient transport in disordered solids," Adv. Phys. 27, 747-798 (1978).
8. H. Scher, M. F. Shlesinger, and J. T. Bendler, "Time-scale invariance in transport and relaxation," Phys. Today 44, 26-34 (1991).
9. M. F. Shlesinger, "Random processes," in the Encyclopedia of Applied Physics (Springer-Verlag, Berlin, 1996), Vol. 16, p. 45.
10. P. Levy, Theorie de L'addition des Variables Aleatoires (Gauthier-Villars, Paris, 1937).
11. B. D. Hughes, M. F. Shlesinger, and E. W. Montroll, "Random walks with self-similar clusters," Proc. Natl. Acad. Sci. USA 78, 3287-3291 (1981).
12. M. F. Shlesinger, G. M. Zaslavsky, and U. Frisch, in Levy Flights and Related Topics in Physics (Springer-Verlag, Berlin, 1995).
13. M. F. Shlesinger, G. M. Zaslavsky, and J. Klafter, "Strange kinetics," Nature (London) 263, 31-38 (1993).
14. M. F. Shlesinger, J. Klafter, and Y. M. Wong, "Random walks with infinite spatial and temporal moments," J. Stat. Phys. 27, 499-512 (1982).
15. T. Geisel, J. Nierwetberg, and A. Zacherl, "Accelerated diffusion in Josephson-junctions and related chaotic systems," Phys. Rev. Lett. 54, 616-619 (1985).
16. F. Hayot, "Levy walk in lattice gas hydrodynamics," Phys. Rev. A 43, 806-810 (1991).
17. J. Klafter, G. Zumofen, and M. F. Shlesinger, "Fractal description of anomalous diffusion in dynamical systems," Fractals 1, 389-404 (1994).
18. G. M. Zaslavsky, M. Edelman, and B. A. Niyazov, "Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics," Chaos 1, 159-181 (1991).
19. G. M. Zaslavsky, Physics of Chaos in Hamiltonian Systems (Imperial College Press, London, 1998).
20. J. Klafter and G. Zumofen, "Levy statistics in a Hamiltonian system," Phys. Rev. E 49, 4873-4877 (1994).