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Issue 8, 2019
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The shape of pinned forced polymer loops

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Abstract

Loop geometry is a frequent encounter in synthetic and biological polymers. Here we provide an analytical theory to characterize the shapes of polymer loops subjected to an external force field. We show how to calculate the polymer density, gyration radius and its distribution. Interestingly, the distribution of the gyration radius shows a non-monotonic behavior as a function of the external force. Furthermore, we analyzed the gyration tensor of the polymer loop characterizing its overall shape. Two parameters called asphericity and the nature of asphericity derived from the gyration tensor, along with the gyration radius, can be used to quantify the shape of polymer loops in theory and experiments.

Graphical abstract: The shape of pinned forced polymer loops

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Article information


Submitted
20 Nov 2018
Accepted
30 Jan 2019
First published
05 Feb 2019

This article is Open Access

Soft Matter, 2019,15, 1785-1792
Article type
Paper

The shape of pinned forced polymer loops

W. Huang and V. Zaburdaev, Soft Matter, 2019, 15, 1785
DOI: 10.1039/C8SM02357C

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