Exactly solvable dynamics of forced polymer loops

Huang, Wenwen; Lin, Yen Ting; Frömberg, Daniela; Shin, Jaeoh; Jülicher, Frank; Zaburdaev, Vasily

doi:10.1088/1367-2630/aae8f0

Title: Exactly solvable dynamics of forced polymer loops

Journal Article · 17 October 2018 · New Journal of Physics

DOI: https://doi.org/10.1088/1367-2630/aae8f0 · OSTI ID:1514945

^[1];

^[2]; Frömberg, Daniela ^[1];

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^[1]; Zaburdaev, Vasily ^[3]

Max Planck Inst. for the Physics of Complex Systems, Dresden (Germany)
Max Planck Inst. for the Physics of Complex Systems, Dresden (Germany); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Max Planck Inst. for the Physics of Complex Systems, Dresden (Germany); Univ. of Erlangen-Nuremberg (Germany)

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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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1514945

Report Number(s):: LA-UR-17-25078

Journal Information:: New Journal of Physics, Vol. 20, Issue 11; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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