Abstract
Based on the Wilemski–Fixman approach [G. Wilemski, M. Fixman, J. Chem. Phys. 60 (1974) 866], we show that, for a flexible chain in θ solvent, hydrodynamic interaction treated with a pre-averaging approximation makes ring closing faster if the chain is not very short. We also show that the ring closing time for a long chain with hydrodynamic interaction in θ solvent scales with the chain length (N) as N1.5, in agreement with the previous renormalization group calculation based prediction by Freidman and O’Shaughnessy [B. Friedman, B. O’Shaughnessy, Phys. Rev. A 40 (1989) 5950].
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