1976
DOI: 10.1295/polymj.8.601
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Effect of the Excluded Volume on the Dynamics of a Polymer Chain

Abstract: 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 'tp-1=1:p101-1(1-Cpz) where 1:p1o1 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 Verdie… Show more

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Cited by 4 publications
(7 citation statements)
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“…In this article, the influence of the repulsive excluded volume and attractive interactions on the orientational relaxation dynamics of ring polymers in dilute solutions is investigated within the framework of the Rouse–Zimm theory. In this context, two different theoretical models of EVI are employed, one recently developed by Biswas , (model I) and another motivated by a study on the linear polymers by Miyakawa and Saitô (model II). To the best of our knowledge, this is the first theoretical study which characterizes the relaxation dynamics of the ring polymers of various sizes with both repulsive and attractive interactions over a wide range of length scales ranging from the local segmental motion to the diffusion of the entire polymer.…”
Section: Discussionmentioning
confidence: 99%
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“…In this article, the influence of the repulsive excluded volume and attractive interactions on the orientational relaxation dynamics of ring polymers in dilute solutions is investigated within the framework of the Rouse–Zimm theory. In this context, two different theoretical models of EVI are employed, one recently developed by Biswas , (model I) and another motivated by a study on the linear polymers by Miyakawa and Saitô (model II). To the best of our knowledge, this is the first theoretical study which characterizes the relaxation dynamics of the ring polymers of various sizes with both repulsive and attractive interactions over a wide range of length scales ranging from the local segmental motion to the diffusion of the entire polymer.…”
Section: Discussionmentioning
confidence: 99%
“…Model I , represents the excluded volume interaction as the harmonic nonbonded potential where the strength of EVI is evaluated self-consistently from Flory’s mean-field approach. Miyakawa and Saitô model analytically investigated the effect of the excluded volume interactions on the dynamics of linear polymers. Model II denotes the generalized model for the ring polymers.…”
Section: Theorymentioning
confidence: 99%
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