English

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

Soft Condensed Matter 2018-03-20 v1 Other Condensed Matter

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 τR{\tau_R}.

Keywords

Cite

@article{arxiv.1803.06906,
  title  = {Understanding dynamics of looping of a long chain polymer in solution: Wilemski-Fixman Approach},
  author = {Moumita Ganguly and Aniruddha Chakraborty},
  journal= {arXiv preprint arXiv:1803.06906},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1611.05235