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- W2264639630 abstract "We have investigated cyclization of a Rouse chain at long and short times by a Langevin dynamics simulation method. We measure S(t), the fraction of nonreacted chains, for polymerizations ranging from Z=5 to Z=800 and capture distances ranging from a=0.1b to a=8b where b is the bond length. Comparison is made with two theoretical approaches. The first is a decoupling approximation used by Wilemski and Fixman to close the relevant master equation [J. Chem. Phys. 58, 4009 (1973); 60, 866 (1974)]. The second approach is the renormalization group arguments of Friedman and O’Shaughnessy [Phys. Rev. Lett 60, 64 (1988); J. Phys. II 1, 471 (1991)]. We find that at long times S(t) decays as a single exponential with rate k∞. The scaled decay rate K=k∞τR appears to approach a constant value independent of the capture distance for very large chains consistent with the predictions of both the renormalization group (RG) and Wilemski–Fixman closure approximation. We extract K*, the long chain limit of K, from the fixed..." @default.
- W2264639630 created "2016-06-24" @default.
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- W2264639630 date "2005-03-24" @default.
- W2264639630 modified "2023-09-26" @default.
- W2264639630 title "Cyclization of Rouse Chains at Long and Short Time Scales" @default.
- W2264639630 hasPublicationYear "2005" @default.
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