Abstract
Exact calculations are presented for the survival fraction and other capturerelated observables in a problem involving migration on a one-dimensional lattice containing perfectly absorbing traps whose placement within the crystal is determined by explicit interactions among the trap molecules. These interactions, which are treated exactly in a lattice-gas model, may be attractive, in which case they lead to trap cluster formation and a reduction of the trapping efficiency, or they may be repulsive thus leading to increased separation of the trap molecules and an enhancement of the trapping process.
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References
D. L. Huber,Phys. Rev. B 20:2307 (1979); 5333 (1979).
K. K. Ghosh and D. L. Huber,Phys. Rev. B 23:4441 (1981).
J. Klafter and R. Silbey,J. Chem. Phys. 72:849 (1980).
V. M. Kenkre and Y. M. Wong,Phys. Rev. B 23:3748 (1980).
V. M. Kenkre, inExciton Dynamics in Molecular Crystals and Aggregates, G. Hohler, ed. (Springer, Berlin, 1982).
H. B. Rosenstock,J. Math. Phys. 21:1643 (1980);Phys. Rev. 187:1166 (1969).
G. H. Weiss,Proc. Natl. Acad. Sci. (USA) 77:4391 (1980).
A. Blumen and G. Zumofen,Chem. Phys. Lett. 70:387 (1980).
G. Zumofen and A. Blumen,Chem. Phys. Lett. 88:63 (1982).
B. Movaghar,J. Phys. C (Solid State) 13:4915 (1980).
B. Movaghar, G. W. Sauer, and D. Würtz,J. Stat. Phys. 27:473 (1982); B. Movaghar, G. W. Sauer, D. Würtz, and D. L. Huber,Solid State Commun. 39:1179 (1981).
H. Scher and C. H. Wu,Proc. Natl. Acad. Sci. (USA) 78:22 (1980).
V. M. Kenkre and P. E. Parris,Phys. Rev. B 27:3221 (1983).
V. M. Kenkre, P. E. Parris, and S. M. Phatak,Physica A (to be published).
G. H. Weiss and R. J. Rubin, Random Walks: Theory and Selected Applications,Adv. Chem. Phys. 52:363 (1983).
E. W. Montroll and B. West, inFluctuation Phenomena, E. W. Montroll and J. L. Lebowitz, eds. (North-Holland, Amsterdam, 1979);J. Stat. Phys. 13:17 (1975), andreferences therein.
K. Lakatos-Lindenberg, R. P. Hemenger, and R. M. Pearlstein,J. Chem. Phys. 56:4852 (1972).
H. Stehfest,Commun. ACM 13:47 (1970);13:17 (1970).
R. K. Pathria,Statistical Mechanics (Pergamon Press, Oxford, 1977).
B. M. McCoy and T. T. Wu,The Two-Dimensional Ising Model (Harvard University Press, Cambridge, Massachusetts, 1973).
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Supported in part by the National Science Foundation under Grant Nos. DMR-8111434 and INT-8210098.
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Parris, P.E., Phatak, S.M. & Kenkre, V.M. Motion and capture in the presence of cooperative trap interactions II: Exact calculations for perfect absorbers in one dimension. J Stat Phys 35, 749–760 (1984). https://doi.org/10.1007/BF01010831
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DOI: https://doi.org/10.1007/BF01010831