Distribution of the area enclosed by a two-dimensional random walk in a disordered medium

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

Volumn 59, Issue 3, 1999, Pages R2501-R2504

  Samokhin, K V ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002796288     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.R2501     Document Type: Article

References (16)

1. B.Ya. Balagurov and V.G. Vaks, Zh. Éksp. Teor. Fiz. 65, 1939 (1973) [Sov. Phys. JETP 38, 968 (1974)].
2. P. Grassberger and I. Procaccia, J. Chem. Phys. 77, 6281 (1982).
3. D.S. Fisher, Phys. Rev. A 30, 960 (1984).
4. J.P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
5. K.V. Samokhin, J. Phys. A 31, 8789 (1998)
6. J. Phys. AK.V. Samokhin31, 9455 (1998).
7. P. Levy, Processus Stochastique et Mouvement Brownien (Gauthier-Villars, Paris, 1948).
8. I.M. Lifshitz, Usp. Fiz. Nauk 83, 617 (1964) [Sov. Phys. Usp. 7, 549 (1965)].
9. E. Brezin, D. Gross, and C. Itzykson, Nucl. Phys. B 235[FS11], 24 (1984).
10. K.B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, England, 1997).
11. J.S. Langer, Ann. Phys. (N.Y.) 41, 108 (1967).
12. C. Callan and S. Coleman, Phys. Rev. D 16, 1762 (1977).
13. R. Friedberg and J.M. Luttinger, Phys. Rev. B 12, 4460 (1975).
14. T.C. Lubensky, Phys. Rev. A 30, 2657 (1984).
15. Handbook of Mathematical Functions edited by M. Abramowitz and I.A. Stegun (Dover, New York, 1965).
16. J. Desbois and A. Comtet, J. Phys. A 25, 3097 (1992).