Random walk on a linear chain with a quenched distribution of jump lengths

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

Volumn 55, Issue 1, 1996, Pages 71-78

  Kutner, Ryszard ^a   Maass, Philipp ^b  

^a UNIVERSITY OF WARSAW   (Poland)

^b UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002624002     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.71     Document Type: Article

References (13)

1. J P. Bouchaud and A. Georges, Phys. Rep.195, 128 (1990).
2. J W. Haus and K W. Kehr, Phys. Rep.150, 263 (1987).
3. S. Havlin and D. Ben-Avraham, Adv. Phys.36, 695 (1987).
4. We consider only the diffusion on geometrically regular lattices. Random walks, where the bond lengths vary due to lattice distortions, exhibit algebraic long-time tails in the velocity autocorrelation function [see H. van Beijeren, Rev. Mod. Phys.54, 195 (1982)
5. and also 2 ].
6. M F. Shlesinger, G M. Zaslavsky and J. Klafter, Nature363, 1343 (1993).
7. T H. Solomon, E R. Weeks and H L. Swinney, Phys. Rev. Lett.71, 3975 (1993).
8. K. Binder and D. W. Heermann, Monte Carlo Simulations in Statistical Physics, 2nd ed., Springer Series in Solid State Science Vol. 80 (Springer, Heidelberg, 1992).
9. I. Majid, D. Ben-Avraham, S. Havlin and H E. Stanley, Phys. Rev. B30, 1626 (1984).
10. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992); A. Bunde and S. Havlin, in Fractals and Disordered Systems, 2nd ed., edited by A. Bunde and S. Havlin (Springer, Heidelberg, 1996).
11. G H. Weiss and R J. Rubin, in Advances in Chemical Physics, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1983), Vol. LII.
12. R. Kutner and P. Maass in Proceedings of the 8th Joint EPS-APS International Conference on Physics Computing, edited by P. Borcherds, M. Bobak, and A. Maksymowicz (Academic Computer Centre, Krakow, 1996), p. 175.
13. J. Klafter, G. Zumofen, and M. F. Shlesinger, in Lévy Flights and Related Topics in Physics, edited by M. F. Shlesinger, G. M. Zaslavsky, and U. Frisch, Lecture Notes in Physics Vol. 450 (Springer, Heidelberg, 1995), p. 196; J. Klafter, M. F. Shlesinger, and G. Zumofen, Phys. Today 49 (2), 33 (1996); J. Klafter, G. Zumofen, and M. F. Shlesinger, in Chaos—The Interplay between Stochastic and Deterministic Behavior, edited by P. Garbaczewski, M. Wolf, and A. Werone, Lecture Notes in Physics Vol. 457 (Springer, Heidelberg, 1995), p. 183.