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Non-Markovian dynamics of reaction coordinate in polymer folding

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Abstract

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 broken base pairs n(t) displays a subdiffusive motion characterized by a variance growing as 〈Δn2(t)〉 ∼ tα with α < 1 at long times. Our theory provides an estimate of both the asymptotic anomalous exponent α 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.

Graphical abstract: Non-Markovian dynamics of reaction coordinate in polymer folding

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Publication details

The article was received on 24 Feb 2017, accepted on 04 Apr 2017 and first published on 04 Apr 2017


Article type: Paper
DOI: 10.1039/C7SM00395A
Citation: Soft Matter, 2017, Advance Article
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    Non-Markovian dynamics of reaction coordinate in polymer folding

    T. Sakaue, J.-C. Walter, E. Carlon and C. Vanderzande, Soft Matter, 2017, Advance Article , DOI: 10.1039/C7SM00395A

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