A multichain polymer slip-spring model with fluctuating number of entanglements for linear and nonlinear rheology
Abstract
A theoretically informed entangled polymer simulation approach is presented for description of the linear and non-linear rheology of entangled polymer melts. The approach relies on a many-chain representation and introduces the topological effects that arise from the non-crossability of molecules through effective fluctuating interactions, mediated by slip-springs, between neighboring pairs of macromolecules. The total number of slip-springs is not preserved but, instead, it is controlled through a chemical potential that determines the average molecular weight between entanglements. The behavior of the model is discussed in the context of a recent theory for description of homogeneous materials, and its relevance is established by comparing its predictions to experimental linear and non-linear rheology data for a series of well-characterized linear polyisoprene melts. Furthermore, the results are shown to be in quantitative agreement with experiment and suggest that the proposed formalism may also be used to describe the dynamics of inhomogeneous systems, such as composites and copolymers. Importantly, the fundamental connection made here between our many-chain model and the well-established, thermodynamically consistent single-chain mean-field models provides a path to systematic coarse-graining for prediction of polymer rheology in structurally homogeneous and heterogeneous materials.
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States); The Univ. of Chicago, Chicago, IL (United States)
- The Univ. of Chicago, Chicago, IL (United States)
- The Univ. of Chicago, Chicago, IL (United States); Illinois Inst. of Technology, Chicago, IL (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- U.S. Army Research Laboratory, U.S. Army Research Office (ARO); USDOE Office of Science (SC), Basic Energy Sciences (BES); Materials Sciences and Engineering Division; National Science Foundation (NSF)
- OSTI Identifier:
- 1352831
- Alternate Identifier(s):
- OSTI ID: 1229791
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Chemical Physics
- Additional Journal Information:
- Journal Volume: 143; Journal Issue: 24; Journal ID: ISSN 0021-9606
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
Citation Formats
Ramírez-Hernández, Abelardo, Peters, Brandon L., Andreev, Marat, Schieber, Jay D., and de Pablo, Juan J. A multichain polymer slip-spring model with fluctuating number of entanglements for linear and nonlinear rheology. United States: N. p., 2015.
Web. doi:10.1063/1.4936878.
Ramírez-Hernández, Abelardo, Peters, Brandon L., Andreev, Marat, Schieber, Jay D., & de Pablo, Juan J. A multichain polymer slip-spring model with fluctuating number of entanglements for linear and nonlinear rheology. United States. https://doi.org/10.1063/1.4936878
Ramírez-Hernández, Abelardo, Peters, Brandon L., Andreev, Marat, Schieber, Jay D., and de Pablo, Juan J. Tue .
"A multichain polymer slip-spring model with fluctuating number of entanglements for linear and nonlinear rheology". United States. https://doi.org/10.1063/1.4936878. https://www.osti.gov/servlets/purl/1352831.
@article{osti_1352831,
title = {A multichain polymer slip-spring model with fluctuating number of entanglements for linear and nonlinear rheology},
author = {Ramírez-Hernández, Abelardo and Peters, Brandon L. and Andreev, Marat and Schieber, Jay D. and de Pablo, Juan J.},
abstractNote = {A theoretically informed entangled polymer simulation approach is presented for description of the linear and non-linear rheology of entangled polymer melts. The approach relies on a many-chain representation and introduces the topological effects that arise from the non-crossability of molecules through effective fluctuating interactions, mediated by slip-springs, between neighboring pairs of macromolecules. The total number of slip-springs is not preserved but, instead, it is controlled through a chemical potential that determines the average molecular weight between entanglements. The behavior of the model is discussed in the context of a recent theory for description of homogeneous materials, and its relevance is established by comparing its predictions to experimental linear and non-linear rheology data for a series of well-characterized linear polyisoprene melts. Furthermore, the results are shown to be in quantitative agreement with experiment and suggest that the proposed formalism may also be used to describe the dynamics of inhomogeneous systems, such as composites and copolymers. Importantly, the fundamental connection made here between our many-chain model and the well-established, thermodynamically consistent single-chain mean-field models provides a path to systematic coarse-graining for prediction of polymer rheology in structurally homogeneous and heterogeneous materials.},
doi = {10.1063/1.4936878},
journal = {Journal of Chemical Physics},
number = 24,
volume = 143,
place = {United States},
year = {Tue Dec 15 00:00:00 EST 2015},
month = {Tue Dec 15 00:00:00 EST 2015}
}
Web of Science
Works referenced in this record:
Fluctuations in entanglements of polymer liquids
journal, March 2003
- Schieber, Jay D.
- The Journal of Chemical Physics, Vol. 118, Issue 11
Segment connectivity, chain-length breathing, segmental stretch, and constraint release in reptation models. I. Theory and single-step strain predictions
journal, December 1998
- Hua, Chi C.; Schieber, Jay D.
- The Journal of Chemical Physics, Vol. 109, Issue 22
Universality and speedup in equilibrium and nonlinear rheology predictions of the fixed slip-link model
journal, May 2014
- Andreev, Marat; Feng, Hualong; Yang, Ling
- Journal of Rheology, Vol. 58, Issue 3
Computational Approaches for the Dynamics of Structure Formation in Self-Assembling Polymeric Materials
journal, July 2013
- Müller, Marcus; de Pablo, Juan J.
- Annual Review of Materials Research, Vol. 43, Issue 1
Self-Consistent Modeling of Constraint Release in a Single-Chain Mean-Field Slip-Link Model
journal, October 2009
- Khaliullin, Renat N.; Schieber, Jay D.
- Macromolecules, Vol. 42, Issue 19
Comprehensive comparisons with nonlinear flow data of a consistently unconstrained Brownian slip-link model
journal, November 2007
- Schieber, Jay D.; Nair, Deepa M.; Kitkrailard, Thidaporn
- Journal of Rheology, Vol. 51, Issue 6
Nonequilibrium Simulations of Lamellae Forming Block Copolymers under Steady Shear: A Comparison of Dissipative Particle Dynamics and Brownian Dynamics
journal, September 2012
- Peters, Brandon L.; Ramírez-Hernández, Abelardo; Pike, Darin Q.
- Macromolecules, Vol. 45, Issue 19
Dynamical Simulations of Coarse Grain Polymeric Systems: Rouse and Entangled Dynamics
journal, July 2013
- Ramírez-Hernández, Abelardo; Detcheverry, François A.; Peters, Brandon L.
- Macromolecules, Vol. 46, Issue 15
Thin Films of Homopolymers and Cylinder-Forming Diblock Copolymers under Shear
journal, July 2014
- Nikoubashman, Arash; Davis, Raleigh L.; Michal, Brian T.
- ACS Nano, Vol. 8, Issue 8
Linear and nonlinear shear flow behavior of monodisperse polyisoprene melts with a large range of molecular weights
journal, May 2008
- Auhl, Dietmar; Ramirez, Jorge; Likhtman, Alexei E.
- Journal of Rheology, Vol. 52, Issue 3
Single-Chain Slip-Link Model of Entangled Polymers: Simultaneous Description of Neutron Spin−Echo, Rheology, and Diffusion
journal, July 2005
- Likhtman, Alexei E.
- Macromolecules, Vol. 38, Issue 14
Approximations of the discrete slip-link model and their effect on nonlinear rheology predictions
journal, March 2013
- Andreev, Marat; Khaliullin, Renat N.; Steenbakkers, Rudi J. A.
- Journal of Rheology, Vol. 57, Issue 2
Multi-chain Slip-spring Model for Entangled Polymer Dynamics
text, January 2012
- Uneyama, Takashi; Masubuchi, Yuichi
- arXiv
Translationally Invariant Slip-Spring Model for Entangled Polymer Dynamics
journal, October 2012
- Chappa, Veronica C.; Morse, David C.; Zippelius, Annette
- Physical Review Letters, Vol. 109, Issue 14
Molecular modelling of entanglement
journal, February 2003
- Doi, Masao; Takimoto, Jun-ichi
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 361, Issue 1805
Quantitative Theory for Linear Dynamics of Linear Entangled Polymers
journal, July 2002
- Likhtman, Alexei E.; McLeish, Tom C. B.
- Macromolecules, Vol. 35, Issue 16
Theoretically informed coarse grain simulations of polymeric systems
journal, August 2009
- Pike, Darin Q.; Detcheverry, François A.; Müller, Marcus
- The Journal of Chemical Physics, Vol. 131, Issue 8
Recovering the reptation dynamics of polymer melts in dissipative particle dynamics simulations via slip-springs
journal, March 2013
- Langeloth, Michael; Masubuchi, Yuichi; Böhm, Michael C.
- The Journal of Chemical Physics, Vol. 138, Issue 10
Entangled Polymer Dynamics in Equilibrium and Flow Modeled Through Slip Links
journal, June 2014
- Schieber, Jay D.; Andreev, Marat
- Annual Review of Chemical and Biomolecular Engineering, Vol. 5, Issue 1
Segment connectivity, chain-length breathing, segmental stretch, and constraint release in reptation models. II. Double-step strain predictions
journal, December 1998
- Hua, Chi C.; Schieber, Jay D.; Venerus, David C.
- The Journal of Chemical Physics, Vol. 109, Issue 22
Theoretically informed entangled polymer simulations: linear and non-linear rheology of melts
journal, January 2013
- Ramírez-Hernández, Abelardo; Müller, Marcus; de Pablo, Juan J.
- Soft Matter, Vol. 9, Issue 6
Monte Carlo Simulations
book, September 2002
- Frenkel, Daan; Smit, Berend
- Understanding Molecular Simulation, 2nd edition
Tube theory of entangled polymer dynamics
journal, September 2002
- McLeish, T. C. B.
- Advances in Physics, Vol. 51, Issue 6
Calculating the free energy of self-assembled structures by thermodynamic integration
journal, January 2008
- Müller, Marcus; Daoulas, Kostas Ch.
- The Journal of Chemical Physics, Vol. 128, Issue 2
Theory of inhomogeneous polymers: Fundamentals of the Gaussian random‐walk model
journal, February 1975
- Helfand, Eugene
- The Journal of Chemical Physics, Vol. 62, Issue 3
Reptation of a Polymer Chain in the Presence of Fixed Obstacles
journal, July 1971
- de Gennes, P. G.
- The Journal of Chemical Physics, Vol. 55, Issue 2
A new perspective on the order- n algorithm for computing correlation functions
journal, October 2009
- Dubbeldam, David; Ford, Denise C.; Ellis, Donald E.
- Molecular Simulation, Vol. 35, Issue 12-13
Accessible and Quantitative Entangled Polymer Rheology Predictions, Suitable for Complex Flow Calculations
journal, February 2015
- Andreev, Marat; Schieber, Jay D.
- Macromolecules, Vol. 48, Issue 5
Single-chain dynamics in a homogeneous melt and a lamellar microphase: A comparison between Smart Monte Carlo dynamics, slithering-snake dynamics, and slip-link dynamics
journal, October 2008
- Müller, Marcus; Daoulas, Kostas Ch.
- The Journal of Chemical Physics, Vol. 129, Issue 16
A full-chain, temporary network model with sliplinks, chain-length fluctuations, chain connectivity and chain stretching
journal, January 2003
- Schieber, Jay D.; Neergaard, Jesper; Gupta, Sachin
- Journal of Rheology, Vol. 47, Issue 1
Multi-chain slip-spring model for entangled polymer dynamics
journal, October 2012
- Uneyama, Takashi; Masubuchi, Yuichi
- The Journal of Chemical Physics, Vol. 137, Issue 15
Linear Viscoelastic Predictions of a Consistently Unconstrained Brownian Slip-Link Model
journal, May 2006
- Nair, Deepa M.; Schieber, Jay D.
- Macromolecules, Vol. 39, Issue 9
Works referencing / citing this record:
Slip Spring-Based Mesoscopic Simulations of Polymer Networks: Methodology and the Corresponding Computational Code
journal, October 2018
- Megariotis, Grigorios; Vogiatzis, Georgios; Sgouros, Aristotelis
- Polymers, Vol. 10, Issue 10
A multi-chain polymer slip-spring model with fluctuating number of entanglements: Density fluctuations, confinement, and phase separation
journal, January 2017
- Ramírez-Hernández, Abelardo; Peters, Brandon L.; Schneider, Ludwig
- The Journal of Chemical Physics, Vol. 146, Issue 1
Determining Tube Theory Parameters by Slip-Spring Model Simulations of Entangled Star Polymers in Fixed Networks
journal, March 2019
- Cao, Jing; Wang, Zuowei; Likhtman, Alexei
- Polymers, Vol. 11, Issue 3
Molecular simulation for predicting the rheological properties of polymer melts
journal, April 2019
- Xi, Li
- Molecular Simulation, Vol. 45, Issue 14-15
Comparison among multi-chain models for entangled polymer dynamics
journal, January 2018
- Masubuchi, Yuichi; Uneyama, Takashi
- Soft Matter, Vol. 14, Issue 29
Modeling of Entangled Polymer Diffusion in Melts and Nanocomposites: A Review
text, January 2019
- Karatrantos, Argyrios; Composto, Russell J.; Winey, Karen I.
- ETH Zurich
Modeling of Entangled Polymer Diffusion in Melts and Nanocomposites: A Review
journal, May 2019
- Karatrantos, Argyrios; Composto, Russell J.; Winey, Karen I.
- Polymers, Vol. 11, Issue 5
Solvent vapor annealing in block copolymer nanocomposite films: a dynamic mean field approach
journal, January 2017
- Chao, Huikuan; Koski, Jason; Riggleman, Robert A.
- Soft Matter, Vol. 13, Issue 1