LEVERNIER, N.; DOLGUSHEV, M.; BÉNICHOU, O.; BLUMEN, A.; GUÉRIN, T.; VOITURIEZ, R.

doi:10.1063/1.4935966

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LEVERNIER, N.
Laboratoire de Physique Théorique de la Matière Condensée [LPTMC]

DOLGUSHEV, M.
Theoretical Polymer Physics

BÉNICHOU, O.
Laboratoire de Physique Théorique de la Matière Condensée [LPTMC]

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Ce document a été publié dans

Journal of Chemical Physics. 2015-11-28, vol. 143, n° 20, p. 204108 (1-10)

American Institute of Physics

Résumé en anglais

This paper presents a theoretical analysis of the closure kinetics of a polymer with hydrodynamic interactions. This analysis, which takes into account the non-Markovian dynamics of the end-to-end vector and relies on the preaveraging of the mobility tensor (Zimm dynamics), is shown to reproduce very accurately the results of numerical simulations of the complete nonlinear dynamics. It is found that Markovian treatments based on a Wilemski-Fixman approximation significantly overestimate cyclization times (up to a factor 2), showing the importance of memory effects i n t he dynamics. In addition, this analysis provides scaling laws of the mean first cyclization time (MFCT) with the polymer size N and capture radius b, which are identical in both Markovian and non-Markovian approaches. In particular, it is found that the scaling of the MFCT for large N is given by T ∼ N 3/2 ln(N/b 2), which differs from the case of the Rouse dynamics where T ∼ N 2. The extension to the case of the reaction kinetics of a monomer of a Zimm polymer with an external target in a confined volume is also presented.< Réduire

DOI

http://dx.doi.org/10.1063/1.4935966

Projet Européen

First-passage times and optimization of target search strategies

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Unités de recherche

Laboratoire Ondes et Matière d'Aquitaine (LOMA) - UMR 5798