Abstract
This note contains a formalism for calculating properties of random walks in the presence of a set of partially absorbing traps. The properties that are considered are the probability of trapping at a specific point and the survival probability as a function of step number. The results are expressed in terms of determinants, but approximations to these can be found.
Similar content being viewed by others
References
R. M. Noyes,Prog. Reac. Kin. 1:128 (1961).
R. A. Reck and S. Prager,J. Chem. Phys. 42:3027 (1965).
G. Wilemski and M. Fixinan,J. Chem. Phys. 58:4009 (1973).
B. U. Felderhof and J. M. Deutch,J. Chem. Phys. 64:4551 (1976).
J. M. Deutch, B. U. Felderhof, and M. J. Saxton,J. Chem. Phys. 64:4551 (1976).
B. U. Felderhof,J. Chem. Phys. 66:4385 (1977).
H. Watanabe,J. Chem. Phys. 69:4872 (1978).
J. R. Lebenhaft and R. Kapral,J. Stat. Phys. 20:25 (1979).
M. Muthukumar and R. I. Cukier,J. Stat. Phys. 26:453 (1981).
H. Sano,J. Chem. Phys. 74:1394 (1981).
M. Tokuyama and R. I. Cukier,J. Chem. Phys. 76:6202 (1982).
M. v. Smoluchowski,Phys. Z. 17:557 (1916).
L. Onsager,Phys. Rev. 54:554 (1938).
A. J. Hummel and W. F. Schmidt,Rad. Res. Rev. 5:199 (1974).
R. G. Enck and G. Pfister inPhotochemistry and Related Phenomena J. Mort and D. M. Pai, eds. (Elsevier, New York, 1976) p. 215.
R. J. Rubin and G. H. Weiss,J. Math. Phys. 23:250 (1982).
E. W. Montroll,J. Phys. Soc. Japan Suppl. 26:6 (1969).
W. Th. den Hollander and P. Kasteleyn,Physica. 112 A:523 (1982).
E. W. Montroll,J. Soc. Ind. Appl. Math. 4:241 (1956).
G. H. Weiss and R. J. Rubin,Adv. Chem. Phys. 52:363 (1983).
G. H. Weiss, S. Havlin, and A. Bunde,J. Stat. Phys. 40:191 (1985).
W. Th. den Hollander,J. Stat. Phys. 40:200 (1985).
G. H. Weiss and S. Havlin,J. Chem. Phys. 83:5670 (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Weiss, G.H. Competitive trapping effects in a set of partially absorbing traps. J Stat Phys 44, 933–939 (1986). https://doi.org/10.1007/BF01011915
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01011915