We consider the kinetics of an irreversible reaction at the sites of an infinite, uniform, 1D polymer chain with first and second nearest neighbor (nn) cooperative effects. The special cases with just nn cooperative effects, and with nn blocking and general second nn cooperative effects have previously been solved exactly. For the latter case, we present several new results for highly autoinhibitory and autocatalytic rates. The general problem cannot be solved exactly but we apply the techniques of the preceding paper, which for this process exploit a shielding property of quadruples of unreacted sites, to obtain approximate solutions. Various cooperativity regimes are considered.
REFERENCES
1.
N. O. Wolf, Ph.D. thesis, Iowa State University, 1979.
2.
D. A.
McQuarrie
, J. P.
McTague
, and H.
Reiss
, Biopolymers
3
, 657
(1965
);N. A.
Plate
, A. D.
Litmanovich
, O. V.
Noah
, A. L.
Toam
, and N. B.
Vasileyev
, J. Polym. Sci.
12
, 2165
(1974
).3.
J. W.
Evans
, D. R.
Burgess
, and D. K.
Hoffman
, J. Chem. Phys.
79
, 5011
(1983
).4.
J. J.
Gonzalez
, P. C.
Hemmer
, and J. S.
Ho/ye
, Chem. Phys.
3
, 228
(1974
);5.
P.
Krishnaswami
and D. P.
Yadav
, J. Appl. Polym. Sci.
20
, 1175
(1976
), have previously attempted an analysis of this problem. However, the kinetic equations used were incorrect, for example, in that for they take account of the destruction of aaoaa configurations due to reaction at the center site and the creation from aooaa or aaooa, but neglect creation from oaoaa or aaoao, due to reaction at the noncentral “o” site.6.
7.
J. G. Kirkwood, in Selected Topics in Statistical Mechanics, edited by R. W. Zwanzig (Gordon and Breach, New York, 1967).
8.
Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1976).
9.
D. K. Hoffman (private communication).
10.
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© 1983 American Institute of Physics.
1983
American Institute of Physics
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