Abstract
The effect of the excluded volume on the dynamics of a polymer chain is studied, using a stochastic jump model introduced by Orwoll and Stockmayer. The relaxation time of the normal mode of the averaged position vectors is obtained as τp−1=τp(0)−1(1−Cpz) where τp(0) is the relaxation time in the absence of the excluded volume effect, z is the usual excluded volume parameter, and Cp is a constant depending on the mode number p. The slowing down is not so large as in the computer simulation by Verdier. Further, the autocorrelation function of the normal mode of the averaged position vectors is shown to be a simple exponential function, in contrast to the nonexponential form used by Verdier. These differences are due partly to the particularity of the lattice model used by Verdier and partly to the approximations we have used.
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Miyakawa, H., Saitô, N. Effect of the Excluded Volume on the Dynamics of a Polymer Chain. Polym J 8, 601–608 (1976). https://doi.org/10.1295/polymj.8.601
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DOI: https://doi.org/10.1295/polymj.8.601