Exactly solvable dynamics of forced polymer loops

Huang W, Lin YT, Froemberg D, Shin J, Juelicher F, Zaburdaev V (2018)


Publication Status: Published

Publication Type: Journal article

Publication year: 2018

Journal

Publisher: IOP PUBLISHING LTD

Book Volume: 20

DOI: 10.1088/1367-2630/aae8f0

Abstract

Here, we show that a problem of forced polymer loops can be mapped to an asymmetric simple exclusion process with reflecting boundary conditions. The dynamics of the particle system can be solved exactly using the Bethe ansatz. We thus can fully describe the relaxation dynamics of forced polymer loops. In the steady state, the conformation of the loop can be approximated by a combination of Fermi-Dirac and Brownian bridge statistics, while the exact solution is found by using the fermion integer partition theory. With the theoretical framework presented here we establish a link between the physics of polymers and statistics of many-particle systems opening new paths of exploration in both research fields. Our result can be applied to the dynamics of the biopolymers which form closed loops. One such example is the active pulling of chromosomal loops during meiosis in yeast cells which helps to align chromosomes for recombination in the viscous environment of the cell nucleus.

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How to cite

APA:

Huang, W., Lin, Y.T., Froemberg, D., Shin, J., Juelicher, F., & Zaburdaev, V. (2018). Exactly solvable dynamics of forced polymer loops. New Journal of Physics, 20. https://dx.doi.org/10.1088/1367-2630/aae8f0

MLA:

Huang, Wenwen, et al. "Exactly solvable dynamics of forced polymer loops." New Journal of Physics 20 (2018).

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