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arXiv · 1803.06906

Understanding dynamics of looping of a long chain polymer in solution: Wilemski-Fixman Approach

Moumita Ganguly·Aniruddha Chakraborty
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Abstract

We investigate theoretically the end-to-end looping time of a long chain polymer molecule immersed in a solvent. The dynamics of the end-to-end distance is governed by a Smoluchowski-like equation of a particle moving under the influence of a parabolic potential in presence of a Dirac delta sink of arbitrary strength and location. Using Wilemski-Fixman [ G. Wilemski and M. Fixman, J. Chem. Phys. {\bf 60}, {\it 866} (1974)] approach we calculate the looping time for a long chain molecule immersed in a solvent. We find that looping time varies with several parameters such as length of the polymer (N), bond length (b) and the relaxation time ${\tau_R}$.

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Moumita Ganguly, Aniruddha Chakraborty. 2018-03-01. Understanding dynamics of looping of a long chain polymer in solution: Wilemski-Fixman Approach. https://arxiv.org/abs/1803.06906

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