Non-Markovian dynamics of reaction coordinate in polymer folding Auteur(s): Sakaue Takahiro, Walter J.-C., Carlon Enrico, Vanderzande Carlo (Article) Publié: Soft Matter, vol. 13 p.317 (2017) Texte intégral en Openaccess : Ref HAL: hal-01493264_v1 Ref Arxiv: 1702.06804 DOI: 10.1039/c7sm00395a WoS: 000400876600012 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 6 Citations Résumé: We develop a theoretical description of the critical zipping dynamics of a self-folding polymer. We use tension propagation theory and the formalism of the generalized Langevin equation applied to a polymer that contains two complementary parts which can bind to each other. At the critical temperature, the (un)zipping is unbiased and the two strands open and close as a zipper. The number of closed base pairs $n(t)$ displays a subdiffusive motion characterized by a variance growing as $\langle \Delta n^2(t) \rangle \sim t^\alpha$ with $\alpha < 1$ at long times. Our theory provides an estimate of both the asymptotic anomalous exponent $\alpha$ and of the subleading correction term, which are both in excellent agreement with numerical simulations. The results indicate that the tension propagation theory captures the relevant features of the dynamics and shed some new insights on related polymer problems characterized by anomalous dynamical behavior. Commentaires: 8 pages, 3 figures, submitted |