Abstract
The problem of the coupling of translational and reactive dynamics is investigated in terms of a simple lattice model. A master equation description including repulsive and reactive interactions is analyzed in terms of a boundary layer region and reduced to source term equations at the diffusion level. Comparison is made at this level with boundary condition approaches.
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References
P. M. Rentzepis,Adv. Chem. Phys. 23:189 (1973); T. J. Chuang, G. W. Hoffman, and K. B. Eisenthal,Chem. Phys. Lett. 25:201 (1974).
J. H. Freed and J. B. Pedersen, inAdvances in Magnetic Resonance, Vol. 8 (Academic Press, New York, 1976).
D. L. Bunker and B. S. Jacobson,J. Am. Chem. Soc. 96:1843 (1972).
C. A. Emeis and P. L. Fehder,J. Am. Chem. Soc. 92:2246 (1970).
J. T. Hynes,Ann. Rev. Phys. Chem. 28 (1977) in press.
R. Paul,J. Chem. Phys. 49:2806 (1968).
G. E. Uhlenbeck and L. S. Ornstein,Phys. Rev. 36:823 (1930).
S. Chandrasekhar,Rev. Mod. Phys. 15:1 (1943).
H. A. Kramers,Physica 7:284 (1940).
B. Widom,J. Chem. Phys. 34:2050 (1961);55:44 (1971);61:672 (1974).
R. M. Noyes, inProgress in Reaction Kinetics, Vol. 1, G. Porter, ed. (Pergamon Press, New York, 1961), p. 128.
F. C. Collins and G. E. Kimball,J. Colloid Sci. 4:425 (1949).
M. v. Smoluchowski,Ann. Physik. 48:1103 (1915):Z. Phys. Chem. 92:129 (1917).
G. Wilemski and M. Fixman,J. Chem. Phys. 58:4009 (1973).
J. T. Hynes and J. M. Deutch, inPhysical Chemistry: An Advanced Treatise, Vol. 11–13, H. Eyring, W. Jost, and D. Henderson, eds. (Academic Press, New York, 1975), p. 729.
S. H. Northrup and J. T. Hynes, to be submitted.
N. G. van Kampen and I. Oppenheim,J. Math. Phys. 13:842 (1972).
P. M. Morse and H. Feshbach,Methods of Theoretical Physics (McGraw-Hill, 1953), Part I, Chapter 7.
S. H. Northrup, M. S. Thesis, Univ. of Colorado (1976), unpublished.
G. T. Evans and M. Fixman,J. Phys. Chem. 80:1544 (1976).
F. C. Goodrich,J. Chem. Phys. 22:588 (1954).
J. M. Schurr,J. Biophys. 10:700 (1970).
L. Monchick,J. Chem. Phys. 62:1907 (1975).
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This work was supported in part by the National Science Foundation.
Alfred P. Sloan Foundation Fellow.
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Northrup, S.H., Hynes, J.T. Coupling of translational and reactive dynamics for a simple lattice model. J Stat Phys 18, 91–105 (1978). https://doi.org/10.1007/BF01014672
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DOI: https://doi.org/10.1007/BF01014672