Average volume of the domain visited by randomly injected spherical brownian particles in d dimensions

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

Volumn 54, Issue 1, 1996, Pages 92-99

  Berezhkovskii, Alexander M ^a,b   Weiss, George H ^a,b  

^a KARPOV INSTITUTE OF PHYSICAL CHEMISTRY   (Russian Federation)

^b NATIONAL INSTITUTES OF HEALTH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343751327     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.92     Document Type: Article

References (22)

1. M. v. Smoluchowski, Z. Phys. Chem. (Frankfurt am Main)29, 129 (1917).
2. S. A. Rice, Diffusion-Limited Reactions (Elsevier, Amsterdam, 1985).
3. M. A. Leontovich and A. N. Kolmogorov, Phys. Z. Sowjet Union5, 1 (1933).
4. A. M. Berezhkovskii, Yu. A. Makhnovskii and R. A. Suris, Chem. Phys.137, 41 (1989).
5. A. M. Berezhkovskii, Yu. A. Makhnovskii and R. A. Suris, J. Stat. Phys.65, 1025 (1991).
6. H. E. Daniels, Proc. Camb. Phil. Soc.XXXVII, 244 (1941).
7. G. H. Weiss and R. J. Rubin, J. Stat. Phys.14, 333 (1976).
8. A. M. Berezhkovskii, Yu. A. Makhnovskii and R. A. Suris, J. Stat. Phys.57, 333 (1989).
9. A. Dvoretzky and P. Erdös, in Proceedings of the Second Berkeley Symposium on Mathematical Statistics (University of California Press, Berkeley, 1951), p. 427.
10. F. den Hollander and G. H. Weiss, in Contemporary Problems in Statistical Physics, edited by G. H. Weiss (SIAM, Philadelphia, 1994).
11. H. Larralde, P. Trunfio, S. Havlin, H. E. Stanley and G. H. Weiss, Phys. Rev. A45, 7128 (1992).
12. H. Larralde and G. H. Weiss, J. Phys. A28, 5217 (1995).
13. A. M. Berezhkovskii, J. Stat. Phys.76, 1089 (1994).
14. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
15. A. M. Berezhkovskii and G. H. Weiss, Physica A215, 40 (1995).
16. G. D. Ruxton and C. A. Glasbey, J. Math. Appl. in Med. and Biol.12, 71 (1995).
17. G. Zumofen and A. Blumen, Chem. Phys. Lett.83, 372 (1981);
18. G. Zumofen and A. Blumen, Chem. Phys. Lett.88, 63 (1982).
19. G. Zumofen, A. Blumen and J. Klafter, J. Phys. A17, L479 (1984).
20. H. Larralde, G. H. Weiss and H. E. Stanley, Physica A209, 361 (1994).
21. Table of Integrals, Series, and Products, 5th ed., edited by I. S. Gradshteyn, I. M. Ryzhik, and A. Jeffrey (Academic, New York, 1994).
22. G. F. Lawler, Intersections of Random Walks (Birkhäuser, Boston, 1991).