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Dynamics of end-to-end loop formation for an isolated chain in viscoelastic fluid

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  • Chakrabarti, Rajarshi

Abstract

We theoretically investigate the looping dynamics of a linear chain immersed in a viscoelastic fluid. The dynamics of the chain is governed by a Rouse model with a fractional memory kernel recently proposed by Weber et al. [S.C. Weber, J.A. Theriot, A.J. Spakowitz, Phys. Rev. E 82 (2010) 011913]. Using the Wilemski–Fixman [G. Wilemski, M. Fixman, J. Chem. Phys. 60 (1974) 866] formalism we calculate the looping time for a chain in a viscoelastic fluid where the mean square displacement of the center of mass of the chain scales as t1/2. We observe that the looping time is faster for the chain in a viscoelastic fluid than for a Rouse chain in a Newtonian fluid up to a chain length and above this chain length the trend is reversed. Also no stable scaling of the looping time with the length of the chain seems to exist for the chain in a viscoelastic fluid.

Suggested Citation

  • Chakrabarti, Rajarshi, 2012. "Dynamics of end-to-end loop formation for an isolated chain in viscoelastic fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5326-5331.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:22:p:5326-5331
    DOI: 10.1016/j.physa.2012.06.025
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    Cited by:

    1. Lei, Dong & Liang, Yingjie & Xiao, Rui, 2018. "A fractional model with parallel fractional Maxwell elements for amorphous thermoplastics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 465-475.

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    Keywords

    Loop closing dynamics; Viscoelastic fluid;

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