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Screening confinement of entanglements: Role of a self-propelling end inducing ballistic chain reptation

Xue-Zheng Cao1,*, Holger Merlitz2, Chen-Xu Wu1, and M. Gregory Forest3

  • 1Department of Physics, Xiamen University, Xiamen 361005, People's Republic of China
  • 2Leibniz-Institut für Polymerforschung Dresden, 01069 Dresden, Germany
  • 3Departments of Mathematics, Applied Physical Sciences, Biomedical Engineering, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599-3250, USA

  • *xzcao@xmu.edu.cn

Phys. Rev. E 106, L022501 – Published 9 August, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.L022501

Abstract

Synthetic and natural nanomaterials with self-propelling mechanisms continue to be explored to boost chain mobility beyond normal reptation in the crowded environments of entangled chains. Here we employ scaling theory and numerical simulations to demonstrate that activating one chain end of a singular or isolated chain boosts entanglement-constrained chain reptation from the one-dimensional diffusive mobility as described by the de Gennes–Edwards–Doi model to ballistic motion along the entanglement tube contour. The active chain is effectively screened from the constraint of entanglements on length scales exceeding the tube size.

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