DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Topological Linking Drives Anomalous Thickening of Ring Polymers in Weak Extensional Flows

Abstract

Molecular dynamics simulations confirm recent extensional flow experiments showing ring polymer melts exhibit strong extension-rate thickening of the viscosity at Weissenberg numbers Wi « 1. Thickening coincides with the extreme elongation of a minority population of rings that grows with Wi. The large susceptibility of some rings to extend is due to a flow-driven formation of topological links that connect multiple rings into supramolecular chains. Links form spontaneously with a longer delay at lower Wi and are pulled tight and stabilized by the flow. Once linked, these composite objects experience larger drag forces than individual rings, driving their strong elongation. The fraction of linked rings depends non-monotonically on Wi, increasing to a maximum when Wi 1 before rapidly decreasing when the strain rate approaches 1/Te.

Authors:
ORCiD logo [1];  [2];  [2];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Duke Univ., Durham, NC (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1633724
Report Number(s):
SAND2020-5909J
Journal ID: ISSN 0031-9007; PRLTAO; 686600; TRN: US2201385
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 124; Journal Issue: 2; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

O’Connor, Thomas C., Ge, Ting, Rubinstein, Michael, and Grest, Gary S. Topological Linking Drives Anomalous Thickening of Ring Polymers in Weak Extensional Flows. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.124.027801.
O’Connor, Thomas C., Ge, Ting, Rubinstein, Michael, & Grest, Gary S. Topological Linking Drives Anomalous Thickening of Ring Polymers in Weak Extensional Flows. United States. https://doi.org/10.1103/PhysRevLett.124.027801
O’Connor, Thomas C., Ge, Ting, Rubinstein, Michael, and Grest, Gary S. Mon . "Topological Linking Drives Anomalous Thickening of Ring Polymers in Weak Extensional Flows". United States. https://doi.org/10.1103/PhysRevLett.124.027801. https://www.osti.gov/servlets/purl/1633724.
@article{osti_1633724,
title = {Topological Linking Drives Anomalous Thickening of Ring Polymers in Weak Extensional Flows},
author = {O’Connor, Thomas C. and Ge, Ting and Rubinstein, Michael and Grest, Gary S.},
abstractNote = {Molecular dynamics simulations confirm recent extensional flow experiments showing ring polymer melts exhibit strong extension-rate thickening of the viscosity at Weissenberg numbers Wi « 1. Thickening coincides with the extreme elongation of a minority population of rings that grows with Wi. The large susceptibility of some rings to extend is due to a flow-driven formation of topological links that connect multiple rings into supramolecular chains. Links form spontaneously with a longer delay at lower Wi and are pulled tight and stabilized by the flow. Once linked, these composite objects experience larger drag forces than individual rings, driving their strong elongation. The fraction of linked rings depends non-monotonically on Wi, increasing to a maximum when Wi 1 before rapidly decreasing when the strain rate approaches 1/Te.},
doi = {10.1103/PhysRevLett.124.027801},
journal = {Physical Review Letters},
number = 2,
volume = 124,
place = {United States},
year = {Mon Jan 13 00:00:00 EST 2020},
month = {Mon Jan 13 00:00:00 EST 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 42 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Relating Chain Conformations to Extensional Stress in Entangled Polymer Melts
journal, July 2018


Self-Similar Conformations and Dynamics in Entangled Melts and Solutions of Nonconcatenated Ring Polymers
text, January 2016

  • Michael, Rubinstein,; Ting, Ge,; Sergey, Panyukov,
  • The University of North Carolina at Chapel Hill University Libraries
  • DOI: 10.17615/h50r-4106

Equilibration of long chain polymer melts in computer simulations
journal, December 2003

  • Auhl, Rolf; Everaers, Ralf; Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 119, Issue 24
  • DOI: 10.1063/1.1628670

Threading of Unconcatenated Ring Polymers at High Concentrations: Double-Folded vs Time-Equilibrated Structures
journal, January 2019


Dynamics of Ring Polymers in the Presence of Fixed Obstacles
journal, December 1986


Nonequilibrium molecular dynamics study of ring polymer melts under shear and elongation flows: A comparison with their linear analogs
journal, July 2016

  • Yoon, Jeongha; Kim, Jinseong; Baig, Chunggi
  • Journal of Rheology, Vol. 60, Issue 4
  • DOI: 10.1122/1.4954246

Self-Similar Conformations and Dynamics in Entangled Melts and Solutions of Nonconcatenated Ring Polymers
journal, January 2016


Local loop opening in untangled ring polymer melts: a detailed “Feynman test” of models for the large scale structure
journal, January 2019

  • Schram, Raoul D.; Rosa, Angelo; Everaers, Ralf
  • Soft Matter, Vol. 15, Issue 11
  • DOI: 10.1039/C8SM02587H

Rheology and Microscopic Topology of Entangled Polymeric Liquids
journal, February 2004


Structural Studies of Three-Arm Star Block Copolymers Exposed to Extreme Stretch Suggests a Persistent Polymer Tube
journal, May 2018


Effect of molecular architecture on ring polymer dynamics in semidilute linear polymer solutions
journal, April 2019


Molecular dynamics simulation study of nonconcatenated ring polymers in a melt. II. Dynamics
journal, May 2011

  • Halverson, Jonathan D.; Lee, Won Bo; Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 134, Issue 20
  • DOI: 10.1063/1.3587138

Unexpected power-law stress relaxation of entangled ring polymers
text, January 2008

  • M., Lang,; M., Rubinstein,; W., Pyckhout-Hintzen,
  • The University of North Carolina at Chapel Hill University Libraries
  • DOI: 10.17615/p7pc-ag86

Molecular dynamics simulation study of nonconcatenated ring polymers in a melt. I. Statics
journal, May 2011

  • Halverson, Jonathan D.; Lee, Won Bo; Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 134, Issue 20
  • DOI: 10.1063/1.3587137

Unexpected power-law stress relaxation of entangled ring polymers
journal, October 2008

  • Kapnistos, M.; Lang, M.; Vlassopoulos, D.
  • Nature Materials, Vol. 7, Issue 12
  • DOI: 10.1038/nmat2292

Periodic boundary conditions for long-time nonequilibrium molecular dynamics simulations of incompressible flows
journal, November 2014

  • Dobson, Matthew
  • The Journal of Chemical Physics, Vol. 141, Issue 18
  • DOI: 10.1063/1.4901276

A simple, direct derivation and proof of the validity of the SLLOD equations of motion for generalized homogeneous flows
journal, May 2006

  • Daivis, Peter J.; Todd, B. D.
  • The Journal of Chemical Physics, Vol. 124, Issue 19
  • DOI: 10.1063/1.2192775

Molecular simulation of flow-enhanced nucleation in n -eicosane melts under steady shear and uniaxial extension
journal, December 2016

  • Nicholson, David A.; Rutledge, Gregory C.
  • The Journal of Chemical Physics, Vol. 145, Issue 24
  • DOI: 10.1063/1.4972894

Direct Equilibration and Characterization of Polymer Melts for Computer Simulations: Direct Equilibration and Characterization of Polymer …
journal, June 2015

  • Moreira, Livia A.; Zhang, Guojie; Müller, Franziska
  • Macromolecular Theory and Simulations, Vol. 24, Issue 5
  • DOI: 10.1002/mats.201500013

Unexpected Stretching of Entangled Ring Macromolecules
journal, May 2019


Stress Relaxation in Highly Oriented Melts of Entangled Polymers
journal, October 2019


Dynamics of a Ring Polymer in a Gel
journal, August 1994


Dynamics of entangled linear polymer melts:  A molecular‐dynamics simulation
journal, April 1990

  • Kremer, Kurt; Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 92, Issue 8
  • DOI: 10.1063/1.458541

Nonlinear-response theory for steady planar Couette flow
journal, September 1984


Molecular Dynamics Simulation Study of Nonconcatenated Ring Polymers in a Melt: II. Dynamics
text, January 2011


Relating Chain Conformations to Extensional Stress In Entangled Polymer Melts
text, January 2018