Mean first passage time for anomalous diffusion

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

Volumn 62, Issue 5, 2000, Pages 6065-6070

  Gitterman, M ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; RANDOM PROCESSES; SPURIOUS SIGNAL NOISE; WHITE NOISE;

BROWNIAN MEAN SQUARED DISPLACEMENT; MEAN FREE PASSAGE TIME; SUBDIFFUSION; SUPERDIFFUSION;

CHAOS THEORY;

EID: 0034317016     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.6065     Document Type: Article

References (18)

1. C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1997).
2. L. F. Richardson, Proc. R. Soc. London, Ser. A 110, 709 (1926).
3. J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
4. M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992).
5. B. I. West and W. Deering, Phys. Rep. 246, 1 (1994).
6. R. Metzler and J. Klafter, Physica A 278, 107 (2000).
7. M. F. Shlezinger and J. Klafter, Phys. Rev. Lett. 54, 2551 (1985).
8. G. M. Zaslavsky, Physics of Chaos in Hamiltonian System (Imperial College Press, London, 1998).
9. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives (Gordon and Breach, Newark, 1993).
10. K. S. Miller and B. Ross, An Introduction to the Fractional Differential Equations (Wiley, New York, 1993).
11. V. Balakrishnan, Physica A 132, 569 (1985).
12. W. R. Schneider and W. Wyss, J. Math. Phys. 30, 134 (1989).
13. R. Metzler, E. Barkai, and J. Klafter, Phys. Rev. Lett. 82, 3563 (1999).
14. I. S. Gradstein and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, Boston, 1994).
15. H. Bateman, Higher Transcendental Functions (McGraw-Hill, New York, 1953), p. 35.
16. Levy Flights and Related Topics in Physics, Vol. 450 of Lecture Notes in Physics edited by M. Shlesinger, G. Zaslavsky, and U. Frish (Springer-Verlag, Berlin, 1994).
17. E. Barkai and R. J. Silbey, J. Phys. Chem. B 104, 3866 (2000).
18. G. Rangarajan and M. Ding, Phys. Rev. E 62, 120 (2000).