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

2018/03/01 by Ganguly, Moumita, Chakraborty, Aniruddha
#FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Soft Condensed Matter (cond-mat.soft)

paper · doi:10.48550/arxiv.1803.06906

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 τ_R.

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