Dynamical Entanglement and Cooperative Dynamics in Entangled Solutions of Ring and Linear Polymers

TL;DR

This paper introduces a novel dynamical entanglement analysis method to uncover complex, architecture-dependent entanglement structures in dense polymer solutions, revealing cooperative dynamics and mutual entrainment effects through large-scale molecular simulations.

Contribution

The study presents a new DEA method for analyzing spatio-temporal entanglement structures, demonstrating its effectiveness on ring and linear polymers and providing insights into their cooperative dynamics.

Findings

Revealed architecture-dependent entanglement structures

Discovered cooperative mutual entrainment between chains

Proposed a mean-field approximation for physical insights

Abstract

Understanding how entanglements affect the behaviour of polymeric complex fluids is an open challenge in many fields. To elucidate the nature and consequence of entanglements in dense polymer solutions, we propose a novel method: a "dynamical entanglement analysis" (DEA) to extract spatio-temporal entanglement structures from the pair-wise displacement correlation of entangled chains. By applying this method to large-scale Molecular Dynamics simulations of linear and unknotted, nonconcatenated ring polymers, we find a strong and unexpected cooperative dynamics: the footprint of mutual entrainment between entangled chains. We show that DEA is a powerful and sensitive probe that reveals previously unnoticed, and architecture-dependent, spatio-temporal structures of dynamical entanglement in polymeric solutions. We also propose a mean-field approximation of our analysis which provides previously under-appreciated physical insights into the dynamics of generic entangled polymers. We envisage DEA will be useful to analyse the dynamical evolution of entanglements in generic polymeric systems such as blends and composites.