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Spatial correlations of entangled polymer dynamics

Journal Article · · Physical Review E

The spatial correlations of entangled polymer dynamics are examined by molecular dynamics simulations and neutron spin-echo spectroscopy. Due to the soft nature of topological constraints, the initial spatial decays of intermediate scattering functions of entangled chains are, to the first approximation, surprisingly similar to those of an unentangled system in the functional forms. However, entanglements reveal themselves as a long tail in the reciprocal-space correlations, implying a weak but persistent dynamic localization in real space. Furthermore, comparison with a number of existing theoretical models of entangled polymers suggests that they cannot fully describe the spatial correlations revealed by simulations and experiments. In particular, the strict one-dimensional diffusion idea of the original tube model is shown to be flawed. The dynamic spatial correlation analysis demonstrated in this work provides a useful tool for interrogating the dynamics of entangled polymers. Lastly, the failure of the investigated models to even qualitatively predict the spatial correlations of collective single-chain density fluctuations points to a possible critical role of incompressibility in polymer melt dynamics.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1818717
Journal Information:
Physical Review E, Journal Name: Physical Review E Journal Issue: 2 Vol. 104; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (56)

Measurement of single chain neutron scattering in concentrated polymer solutions journal April 1980
Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Liquid dynamics and inelastic scattering of neutrons journal January 1959
A convenient neutron scattering method for studying monomer correlations in homopolymer melts journal January 1982
The random walk's guide to anomalous diffusion: a fractional dynamics approach journal December 2000
Implementing molecular dynamics on hybrid high performance computers – short range forces journal April 2011
Quantitative examination of a fundamental assumption in small-angle neutron scattering studies of deformed polymer melts journal September 2020
Simulating Startup Shear of Entangled Polymer Melts journal November 2015
Molecular Dynamics Investigation of the Relaxation Mechanism of Entangled Polymers after a Large Step Deformation journal January 2018
The Entanglement Concept in Polymer Systems journal February 1966
Entanglement constraints in polymer melts. A neutron spin echo study journal November 1992
Primitive Path Identification and Statistics in Molecular Dynamics Simulations of Entangled Polymer Melts journal May 2005
Single-Chain Slip-Link Model of Entangled Polymers:  Simultaneous Description of Neutron Spin−Echo, Rheology, and Diffusion journal July 2005
Direct Calculation of the Tube Potential Confining Entangled Polymers journal September 2006
Linear Viscoelasticity from Molecular Dynamics Simulation of Entangled Polymers journal September 2007
Finding the Tube with Isoconfigurational Averaging journal November 2011
Microscopic Definition of Polymer Entanglements journal February 2014
Dynamics of concentrated polymer systems. Part 1.—Brownian motion in the equilibrium state journal January 1978
Dynamic form function of a long polymer constrained by entanglements in a polymer melt journal July 1993
Coherent scattering by one reptating chain journal January 1981
Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids journal June 1971
Reptation of a Polymer Chain in the Presence of Fixed Obstacles journal July 1971
A Theory of the Linear Viscoelastic Properties of Dilute Solutions of Coiling Polymers journal July 1953
Frequency spectrum and dynamic correlations of concentrated polymer liquids journal July 1983
Microscopic theory of the dynamics of polymeric liquids: General formulation of a mode–mode‐coupling approach journal November 1989
Mode‐coupling theory of the dynamics of polymer liquids: Qualitative predictions for flexible chain and ring melts journal November 1989
Dynamics of entangled linear polymer melts:  A molecular‐dynamics simulation journal April 1990
Many chain correlated dynamics in polymer fluids journal April 1999
Static and dynamic properties of large polymer melts in equilibrium journal April 2016
Communication: Polymer entanglement dynamics: Role of attractive interactions journal October 2016
Scattering of Slow Neutrons by a Liquid journal June 1958
Atomic Motion in Liquid Argon journal September 1967
Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles journal July 1954
Spatiotemporal mapping of mesoscopic liquid dynamics journal February 2021
Theory of field-gradient NMR diffusometry of polymer segment displacements in the tube-reptation model journal September 1995
Entanglements in quiescent and sheared polymer melts journal October 2004
Topological analysis of polymeric melts: Chain-length effects and fast-converging estimators for entanglement length journal September 2009
Localization of chain dynamics in entangled polymer melts journal May 2014
Confining Potential when a Biopolymer Filament Reptates journal March 2010
Microscopic Theory of the Tube Confinement Potential for Liquids of Topologically Entangled Rigid Macromolecules journal August 2011
Microscopic Theory of Entangled Polymer Melt Dynamics: Flexible Chains as Primitive-Path Random Walks and Supercoarse Grained Needles journal October 2012
Scaling Behavior of Anisotropy Relaxation in Deformed Polymers journal September 2018
Small Energy Transfer Scattering of Cold Neutrons from Liquid Argon journal October 1967
Microscopic dynamics and topological constraints in polymer melts: A neutron-spin-echo study journal May 1989
Direct microscopic observation of the entanglement distance in a polymer melt journal March 1990
Microscopic and macroscopic evaluation of fundamental facets of the entanglement concept journal April 1991
Onset of topological constraints in polymer melts: A mode analysis by neutron spin echo spectroscopy journal December 1993
Chain Motion in an Unentangled Polyethylene Melt: A Critical Test of the Rouse Model by Molecular Dynamics Simulations and Neutron Spin Echo Spectroscopy journal March 1998
Clear Evidence of Reptation in Polyethylene from Neutron Spin-Echo Spectroscopy journal July 1998
Molecular Observation of Contour-Length Fluctuations Limiting Topological Confinement in Polymer Melts journal January 2002
Direct Observation of the Transition from Free to Constrained Single-Segment Motion in Entangled Polymer Melts journal February 2003
Analytical Soft-Core Potentials for Macromolecular Fluids and Mixtures journal December 2004
Molecular Observation of Constraint Release in Polymer Melts journal June 2006
Quasi-elastic scattering of neutrons by dilute polymer solutions: I. Free-draining limit journal January 1967
Stochastic Problems in Physics and Astronomy journal January 1943
What is the entanglement length in a polymer melt? journal March 2000

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