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Title: Fluids density functional theory and initializing molecular dynamics simulations of block copolymers

Abstract

Classical, fluids density functional theory (fDFT), which can predict the equilibrium density profiles of polymeric systems, and coarse-grained molecular dynamics (MD) simulations, which are often used to show both structure and dynamics of soft materials, can be implemented using very similar bead-based polymer models. We aim to use fDFT and MD in tandem to examine the same system from these two points of view and take advantage of the different features of each methodology. Additionally, the density profiles resulting from fDFT calculations can be used to initialize the MD simulations in a close to equilibrated structure, speeding up the simulations. Here in this paper, we show how this method can be applied to study microphase separated states of both typical diblock and tapered diblock copolymers in which there is a region with a gradient in composition placed between the pure blocks. Both methods, applied at constant pressure, predict a decrease in total density as segregation strength or the length of the tapered region is increased. The predictions for the density profiles from fDFT and MD are similar across materials with a wide range of interfacial widths.

Authors:
 [1];  [1];  [1];  [1]
  1. The Ohio State Univ., Columbus, OH (United States). William G. Lowrie Dept. of Chemical and Biomolecular Engineering
Publication Date:
Research Org.:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1468778
Alternate Identifier(s):
OSTI ID: 1243353
Grant/Contract Number:  
SC0014209; 1454343
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 144; Journal Issue: 12; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Brown, Jonathan R., Seo, Youngmi, Maula, Tiara Ann D., and Hall, Lisa M. Fluids density functional theory and initializing molecular dynamics simulations of block copolymers. United States: N. p., 2016. Web. doi:10.1063/1.4943982.
Brown, Jonathan R., Seo, Youngmi, Maula, Tiara Ann D., & Hall, Lisa M. Fluids density functional theory and initializing molecular dynamics simulations of block copolymers. United States. https://doi.org/10.1063/1.4943982
Brown, Jonathan R., Seo, Youngmi, Maula, Tiara Ann D., and Hall, Lisa M. Thu . "Fluids density functional theory and initializing molecular dynamics simulations of block copolymers". United States. https://doi.org/10.1063/1.4943982. https://www.osti.gov/servlets/purl/1468778.
@article{osti_1468778,
title = {Fluids density functional theory and initializing molecular dynamics simulations of block copolymers},
author = {Brown, Jonathan R. and Seo, Youngmi and Maula, Tiara Ann D. and Hall, Lisa M.},
abstractNote = {Classical, fluids density functional theory (fDFT), which can predict the equilibrium density profiles of polymeric systems, and coarse-grained molecular dynamics (MD) simulations, which are often used to show both structure and dynamics of soft materials, can be implemented using very similar bead-based polymer models. We aim to use fDFT and MD in tandem to examine the same system from these two points of view and take advantage of the different features of each methodology. Additionally, the density profiles resulting from fDFT calculations can be used to initialize the MD simulations in a close to equilibrated structure, speeding up the simulations. Here in this paper, we show how this method can be applied to study microphase separated states of both typical diblock and tapered diblock copolymers in which there is a region with a gradient in composition placed between the pure blocks. Both methods, applied at constant pressure, predict a decrease in total density as segregation strength or the length of the tapered region is increased. The predictions for the density profiles from fDFT and MD are similar across materials with a wide range of interfacial widths.},
doi = {10.1063/1.4943982},
journal = {Journal of Chemical Physics},
number = 12,
volume = 144,
place = {United States},
year = {Thu Mar 24 00:00:00 EDT 2016},
month = {Thu Mar 24 00:00:00 EDT 2016}
}

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Works referenced in this record:

Density functional theory for copolymers confined in a nanoslit
journal, April 2007

  • Ye, Zhencheng; Chen, Houyang; Liu, Honglai
  • The Journal of Chemical Physics, Vol. 126, Issue 13
  • DOI: 10.1063/1.2713378

Identification of an intermediate-segregation regime in a diblock copolymer system
journal, November 1996


Adsorption of Copolymers in a Selective Nanoslit: A Hybrid Density Functional Theory
journal, August 2008

  • Chen, Houyang; Cai, Jun; Ye, Zhencheng
  • The Journal of Physical Chemistry B, Vol. 112, Issue 32
  • DOI: 10.1021/jp802633p

Modeling the Adsorption of Rheology Modifiers onto Latex Particles Using Coarse-Grained Molecular Dynamics (CG-MD) and Self-Consistent Field Theory (SCFT)
journal, October 2015


Universality of Block Copolymer Melts
journal, August 2014


Solvent response of mixed polymer brushes
journal, December 2011

  • Gong, Kai; Chapman, Walter G.
  • The Journal of Chemical Physics, Vol. 135, Issue 21
  • DOI: 10.1063/1.3657830

Structure and Properties of Tapered Block Polymers of Styrene and Isoprene
journal, July 1980

  • Tsukahara, Yasuhisa; Nakamura, Norikazu; Hashimoto, Takeji
  • Polymer Journal, Vol. 12, Issue 7
  • DOI: 10.1295/polymj.12.455

High-order sampling schemes for path integrals and Gaussian chain simulations of polymers
journal, May 2015

  • Müser, Martin H.; Müller, Marcus
  • The Journal of Chemical Physics, Vol. 142, Issue 17
  • DOI: 10.1063/1.4919311

Modeling polymer-induced interactions between two grafted surfaces: Comparison between interfacial statistical associating fluid theory and self-consistent field theory
journal, July 2009

  • Jain, Shekhar; Ginzburg, Valeriy V.; Jog, Prasanna
  • The Journal of Chemical Physics, Vol. 131, Issue 4
  • DOI: 10.1063/1.3177009

Two- and three-body interactions among nanoparticles in a polymer melt
journal, May 2011

  • Frischknecht, Amalie L.; Yethiraj, Arun
  • The Journal of Chemical Physics, Vol. 134, Issue 17
  • DOI: 10.1063/1.3585979

Monte Carlo density functional theory of nonuniform polymer melts
journal, April 1995

  • Yethiraj, Arun; Woodward, Clifford E.
  • The Journal of Chemical Physics, Vol. 102, Issue 13
  • DOI: 10.1063/1.469279

Density functional theory for inhomogeneous polymer systems. II. Application to block copolymer thin films
journal, December 2002

  • Frischknecht, Amalie L.; Curro, John G.; Douglas Frink, Laura J.
  • The Journal of Chemical Physics, Vol. 117, Issue 22
  • DOI: 10.1063/1.1518686

Density functional theory for inhomogeneous polymer systems. I. Numerical methods
journal, December 2002

  • Frischknecht, Amalie L.; Weinhold, Jeffrey D.; Salinger, Andrew G.
  • The Journal of Chemical Physics, Vol. 117, Issue 22
  • DOI: 10.1063/1.1518685

Integrating PRISM theory and Monte Carlo simulation to study polymer-functionalised particles and polymer nanocomposites
journal, July 2012


Free-energy model for the inhomogeneous hard-sphere fluid mixture and density-functional theory of freezing
journal, August 1989


Lamellar ordering in symmetric diblock copolymers
journal, June 1993

  • Sones, R. A.; Terentjev, E. M.; Petschek, R. G.
  • Macromolecules, Vol. 26, Issue 13
  • DOI: 10.1021/ma00065a017

An i SAFT Density Functional Theory for Associating Polyatomic Molecules
journal, September 2010

  • Bymaster, Adam; Chapman, Walter G.
  • The Journal of Physical Chemistry B, Vol. 114, Issue 38
  • DOI: 10.1021/jp102677m

Surface-induced phase transitions in ultrathin films of block copolymers
journal, May 2005

  • Cao, Dapeng; Wu, Jianzhong
  • The Journal of Chemical Physics, Vol. 122, Issue 19
  • DOI: 10.1063/1.1897692

Phase behavior of polymer/nanoparticle blends near a substrate
journal, April 2008

  • McGarrity, E. S.; Frischknecht, A. L.; Mackay, M. E.
  • The Journal of Chemical Physics, Vol. 128, Issue 15
  • DOI: 10.1063/1.2899329

What is the entanglement length in a polymer melt?
journal, March 2000


Density functional theory of lamellar ordering in diblock copolymers
journal, July 1991


Density functional theory of nonuniform polyatomic systems. I. General formulation
journal, November 1986

  • Chandler, David; McCoy, John D.; Singer, Sherwin J.
  • The Journal of Chemical Physics, Vol. 85, Issue 10
  • DOI: 10.1063/1.451510

A hybrid method for predicting the microstructure of polymers with complex architecture: Combination of single-chain simulation with density functional theory
journal, April 2006

  • Cao, Dapeng; Jiang, Tao; Wu, Jianzhong
  • The Journal of Chemical Physics, Vol. 124, Issue 16
  • DOI: 10.1063/1.2186323

Predicting the Mesophases of Copolymer-Nanoparticle Composites
journal, June 2001

  • Thompson, Russell B.; Ginzburg, Valeriy V.; Matsen, Mark W.
  • Science, Vol. 292, Issue 5526, p. 2469-2472
  • DOI: 10.1126/science.1060585

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

Dispersion of Polymer-Grafted Nanorods in Homopolymer Films: Theory and Experiment
journal, March 2013

  • Frischknecht, Amalie L.; Hore, Michael J. A.; Ford, Jamie
  • Macromolecules, Vol. 46, Issue 7
  • DOI: 10.1021/ma302461h

Density functional theory of molecular structure for thin diblock copolymer films on chemically heterogeneous surfaces
journal, April 1999

  • Nath, Shyamal K.; Nealey, Paul F.; de Pablo, Juan J.
  • The Journal of Chemical Physics, Vol. 110, Issue 15
  • DOI: 10.1063/1.478651

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

Density functional theory of simple polymers in a slit pore. I. Theory and efficient algorithm
journal, February 2000

  • Hooper, Justin B.; McCoy, John D.; Curro, John G.
  • The Journal of Chemical Physics, Vol. 112, Issue 6
  • DOI: 10.1063/1.480884

Predicting the self-assembled morphology and mechanical properties of mixtures of diblocks and rod-like nanoparticles
journal, January 2003


Application of Density Functional Theory To Study the Double Layer of an Electrolyte with an Explicit Dimer Model for the Solvent
journal, August 2012

  • Henderson, Douglas; Jiang, De-en; Jin, Zhehui
  • The Journal of Physical Chemistry B, Vol. 116, Issue 36
  • DOI: 10.1021/jp305400z

Binary fluid with attractions near a planar wall
journal, August 2010

  • Padmanabhan, Venkat; Frischknecht, Amalie L.; Mackay, Michael E.
  • Physical Review E, Vol. 82, Issue 2
  • DOI: 10.1103/PhysRevE.82.021507

Comparison of Molecular Dynamics with Classical Density Functional and Poisson–Boltzmann Theories of the Electric Double Layer in Nanochannels
journal, May 2012

  • Lee, Jonathan W.; Nilson, Robert H.; Templeton, Jeremy A.
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 6
  • DOI: 10.1021/ct3001156

Predicting Chiral Nanostructures, Lattices and Superlattices in Complex Multicomponent Nanoparticle Self-Assembly
journal, May 2012

  • Hur, Kahyun; Hennig, Richard G.; Escobedo, Fernando A.
  • Nano Letters, Vol. 12, Issue 6
  • DOI: 10.1021/nl301209c

Microstructure of inhomogeneous polyatomic mixtures from a density functional formalism for atomic mixtures
journal, March 2005

  • Tripathi, Sandeep; Chapman, Walter G.
  • The Journal of Chemical Physics, Vol. 122, Issue 9
  • DOI: 10.1063/1.1853371

Towards a microscopic theory of wetting by ionic solutions. I. Surface properties of the semi-primitive model
journal, September 2006


The interfacial thickness of symmetric diblock copolymers: Theory and experiment
journal, February 1998

  • McCoy, John D.; Nath, Shyamal K.; Curro, John G.
  • The Journal of Chemical Physics, Vol. 108, Issue 7
  • DOI: 10.1063/1.475696

Interfacial Manipulations: Controlling Nanoscale Assembly in Bulk, Thin Film, and Solution Block Copolymer Systems
journal, February 2013

  • Mastroianni, Sarah E.; Epps, Thomas H.
  • Langmuir, Vol. 29, Issue 12
  • DOI: 10.1021/la304800t

Polymer chain generation for coarse-grained models using radical-like polymerization
journal, June 2008

  • Perez, Michel; Lame, Olivier; Leonforte, Fabien
  • The Journal of Chemical Physics, Vol. 128, Issue 23
  • DOI: 10.1063/1.2936839

Manipulating ordering transitions in interfacially modified block copolymers
journal, January 2009

  • Singh, Nripen; Tureau, Maëva S.; Epps, III, Thomas H.
  • Soft Matter, Vol. 5, Issue 23
  • DOI: 10.1039/b908739g

Controlling Micellar Properties of Styrene/Isoprene Copolymers by Altering the Monomer Arrangement along the Chain
journal, January 2002

  • Hodrokoukes, P.; Pispas, S.; Hadjichristidis, N.
  • Macromolecules, Vol. 35, Issue 3
  • DOI: 10.1021/ma011331e

Revisited Block Copolymer/Nanoparticle Composites: Extension of Interfacial Statistical Associating Fluid Theory
journal, July 2012

  • Feng, Zhengzheng; Chapman, Walter G.
  • Macromolecules, Vol. 45, Issue 16
  • DOI: 10.1021/ma300197q

Blockiness and Sequence Polydispersity Effects on the Phase Behavior and Interfacial Properties of Gradient Copolymers
journal, July 2012

  • Ganesan, Venkat; Kumar, N. Arun; Pryamitsyn, Victor
  • Macromolecules, Vol. 45, Issue 15
  • DOI: 10.1021/ma301136y

Efficient continuum model for simulating polymer blends and copolymers
journal, December 1996

  • Grest, Gary S.; Lacasse, Martin‐D.; Kremer, Kurt
  • The Journal of Chemical Physics, Vol. 105, Issue 23
  • DOI: 10.1063/1.472978

Microphase Separation in Normal and Inverse Tapered Block Copolymers of Polystyrene and Polyisoprene. 1. Phase State
journal, January 2001

  • Hodrokoukes, P.; Floudas, G.; Pispas, S.
  • Macromolecules, Vol. 34, Issue 3
  • DOI: 10.1021/ma001479i

Controlling Macroscopic Properties by Tailoring Nanoscopic Interfaces in Tapered Copolymers
journal, August 2015


Fundamental measure theory for hard-sphere mixtures: a review
journal, January 2010


Numerical Solutions of the Complex Langevin Equations in Polymer Field Theory
journal, January 2008

  • Lennon, Erin M.; Mohler, George O.; Ceniceros, Hector D.
  • Multiscale Modeling & Simulation, Vol. 6, Issue 4
  • DOI: 10.1137/070689401

Recent advances in classical density functional theory for associating and polyatomic molecules
journal, July 2011

  • Emborsky, Christopher P.; Feng, Zhengzheng; Cox, Kenneth R.
  • Fluid Phase Equilibria, Vol. 306, Issue 1
  • DOI: 10.1016/j.fluid.2011.02.007

Comparison of random-walk density functional theory to simulation for bead-spring homopolymer melts
journal, January 2004

  • Frischknecht, Amalie L.; Curro, John G.
  • The Journal of Chemical Physics, Vol. 121, Issue 6
  • DOI: 10.1063/1.1768517

The standard Gaussian model for block copolymer melts
journal, December 2001


Double-Gyroid Network Morphology in Tapered Diblock Copolymers
journal, May 2011

  • Roy, Raghunath; Park, Jong Keun; Young, Wen-Shiue
  • Macromolecules, Vol. 44, Issue 10
  • DOI: 10.1021/ma1025847

Insights into Associating Fluid Properties and Microstructure from Classical Density Functional Theory
journal, July 2011

  • Feng, Zhengzheng; Bymaster, Adam; Emborsky, Chris
  • Journal of Statistical Physics, Vol. 145, Issue 2
  • DOI: 10.1007/s10955-011-0263-2

Local structure of semiflexible polymer melts
journal, July 1990

  • Honnell, Kevin G.; Curro, John G.; Schweizer, Kenneth S.
  • Macromolecules, Vol. 23, Issue 14
  • DOI: 10.1021/ma00216a018

Modeling Microscopic Morphology and Mechanical Properties of Block Copolymer/Nanoparticle Composites
journal, October 2009

  • Jin, Jiezhu; Wu, Jianzhong; Frischknecht, Amalie L.
  • Macromolecules, Vol. 42, Issue 19
  • DOI: 10.1021/ma9006686

On the order-disorder transition of compressible diblock copolymer melts
journal, November 2015

  • Zong, Jing; Wang, Qiang
  • The Journal of Chemical Physics, Vol. 143, Issue 18
  • DOI: 10.1063/1.4934992

Using tapered interfaces to manipulate nanoscale morphologies in ion-doped block polymers
journal, May 2015

  • Kuan, Wei-Fan; Reed, Ellen H.; Nguyen, Ngoc A.
  • MRS Communications, Vol. 5, Issue 2
  • DOI: 10.1557/mrc.2015.19

A theoretical study for nanoparticle partitioning in the lamellae of diblock copolymers
journal, February 2008

  • Jin, Jiezhu; Wu, Jianzhong
  • The Journal of Chemical Physics, Vol. 128, Issue 7
  • DOI: 10.1063/1.2827470

Design and Synthesis of Network-Forming Triblock Copolymers Using Tapered Block Interfaces
journal, March 2012

  • Kuan, Wei-Fan; Roy, Raghunath; Rong, Lixia
  • ACS Macro Letters, Vol. 1, Issue 4
  • DOI: 10.1021/mz3000804

Simulation of the gyroid phase in off-lattice models of pure diblock copolymer melts
journal, September 2006

  • Martínez-Veracoechea, Francisco J.; Escobedo, Fernando A.
  • The Journal of Chemical Physics, Vol. 125, Issue 10
  • DOI: 10.1063/1.2345652

Structure and Properties of Tapered Block Polymers of Styrene and Isoprene II. Dynamic Mechanical Responses and Their Structural Interpretations
journal, October 1983

  • Hashimoto, Takeji; Tsukahara, Yasuhisa; Kawai, Hiromichi
  • Polymer Journal, Vol. 15, Issue 10
  • DOI: 10.1295/polymj.15.699

The ordering of symmetric diblock copolymers: A comparison of self-consistent-field and density functional approaches
journal, February 1997

  • Nath, Shyamal K.; McCoy, John D.; Curro, John G.
  • The Journal of Chemical Physics, Vol. 106, Issue 5
  • DOI: 10.1063/1.473332

Modified interfacial statistical associating fluid theory: A perturbation density functional theory for inhomogeneous complex fluids
journal, December 2007

  • Jain, Shekhar; Dominik, Aleksandra; Chapman, Walter G.
  • The Journal of Chemical Physics, Vol. 127, Issue 24
  • DOI: 10.1063/1.2806932

Higher Order Classical Density Functional Theory for Branched Chains and Rings
journal, December 2011

  • Marshall, Bennett D.; Chapman, Walter G.
  • The Journal of Physical Chemistry B, Vol. 115, Issue 50
  • DOI: 10.1021/jp2078677

Effect of Tapering on Morphology and Interfacial Behavior of Diblock Copolymers from Molecular Dynamics Simulations
journal, July 2015

  • Seo, Youngmi; Brown, Jonathan R.; Hall, Lisa M.
  • Macromolecules, Vol. 48, Issue 14
  • DOI: 10.1021/ma502309h

Polymer-Grafted Nanoparticles in Polymer Melts: Modeling Using the Combined SCFT–DFT Approach
journal, December 2013


Density functional theory for inhomogeneous mixtures of polymeric fluids
journal, August 2002

  • Yu, Yang-Xin; Wu, Jianzhong
  • The Journal of Chemical Physics, Vol. 117, Issue 5
  • DOI: 10.1063/1.1491240

Efficient field-theoretic simulation of polymer solutions
journal, December 2014

  • Villet, Michael C.; Fredrickson, Glenn H.
  • The Journal of Chemical Physics, Vol. 141, Issue 22
  • DOI: 10.1063/1.4902886

Toward Quantitative Coarse-Grained Models of Lipids with Fluids Density Functional Theory
journal, March 2012

  • Frink, Laura J. Douglas; Frischknecht, Amalie L.; Heroux, Michael A.
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 4
  • DOI: 10.1021/ct200707b

Density-Functional Theory for Complex Fluids
journal, May 2007


Dynamics of polymers: A mean-field theory
journal, February 2014

  • Fredrickson, Glenn H.; Orland, Henri
  • The Journal of Chemical Physics, Vol. 140, Issue 8
  • DOI: 10.1063/1.4865911

Density functional theory and Monte Carlo simulation of mixtures of hard sphere chains confined in a slit
journal, March 2002


Thermodynamic Behavior of Particle/Diblock Copolymer Mixtures:  Simulation and Theory
journal, October 2000

  • Huh, June; Ginzburg, Valeriy V.; Balazs, Anna C.
  • Macromolecules, Vol. 33, Issue 21
  • DOI: 10.1021/ma000708y

A multichain polymer slip-spring model with fluctuating number of entanglements for linear and nonlinear rheology
journal, December 2015

  • Ramírez-Hernández, Abelardo; Peters, Brandon L.; Andreev, Marat
  • The Journal of Chemical Physics, Vol. 143, Issue 24
  • DOI: 10.1063/1.4936878

Structure of Polyelectrolyte Solutions at a Charged Surface
journal, July 2004

  • Patra, Chandra N.; Chang, Rakwoo; Yethiraj, Arun
  • The Journal of Physical Chemistry B, Vol. 108, Issue 26
  • DOI: 10.1021/jp0373200

Coarse-graining in simulations of multicomponent polymer systems
journal, December 2014

  • Sethuraman, Vaidyanathan; Nguyen, Bryan H.; Ganesan, Venkat
  • The Journal of Chemical Physics, Vol. 141, Issue 24
  • DOI: 10.1063/1.4904390

Block Copolymers—Designer Soft Materials
journal, February 1999

  • Bates, Frank S.; Fredrickson, Glenn H.
  • Physics Today, Vol. 52, Issue 2
  • DOI: 10.1063/1.882522

Field-Theoretic Simulation of Block Copolymers at Experimentally Relevant Molecular Weights
journal, November 2015


Density Functional Theory for Polyelectrolytes near Oppositely Charged Surfaces
journal, February 2006


Density functional theory for chemical engineering: From capillarity to soft materials
journal, January 2006


Ion Correlation-Induced Phase Separation in Polyelectrolyte Blends
journal, November 2013

  • Sing, Charles E.; Zwanikken, Jos W.; Olvera de la Cruz, Monica
  • ACS Macro Letters, Vol. 2, Issue 11
  • DOI: 10.1021/mz400511r

Positioning Janus Nanoparticles in Block Copolymer Scaffolds
journal, February 2009


Forces between nanorods with end-adsorbed chains in a homopolymer melt
journal, June 2008

  • Frischknecht, Amalie L.
  • The Journal of Chemical Physics, Vol. 128, Issue 22
  • DOI: 10.1063/1.2929831

Field theoretic simulations of polymer nanocomposites
journal, December 2013

  • Koski, Jason; Chao, Huikuan; Riggleman, Robert A.
  • The Journal of Chemical Physics, Vol. 139, Issue 24
  • DOI: 10.1063/1.4853755

Surface-induced phase behavior of polymer/nanoparticle blends with attractions
journal, April 2012

  • Frischknecht, Amalie L.; Padmanabhan, Venkat; Mackay, Michael E.
  • The Journal of Chemical Physics, Vol. 136, Issue 16
  • DOI: 10.1063/1.4705308

Self-Assembly of Rod-Shaped Particles in Diblock-Copolymer Templates
journal, July 2009

  • Tang, Qi-yun; Ma, Yu-qiang
  • The Journal of Physical Chemistry B, Vol. 113, Issue 30
  • DOI: 10.1021/jp901170x

Wetting and drying scenarios of ionic solutions
journal, March 2011


Entanglements in Lamellar Phases of Diblock Copolymers
journal, August 2015


A comparison between integral equation theory and molecular dynamics simulations of dense, flexible polymer liquids
journal, July 1989

  • Curro, John G.; Schweizer, Kenneth S.; Grest, Gary S.
  • The Journal of Chemical Physics, Vol. 91, Issue 2
  • DOI: 10.1063/1.457159

Microphase-separated tapered triblock copolymers
journal, December 1993

  • Samseth, J.; Spontak, R. J.; Smith, S. D.
  • Le Journal de Physique IV, Vol. 03, Issue C8
  • DOI: 10.1051/jp4:1993812

Density functional theory for inhomogeneous ring polymeric fluids
journal, October 2012


Phase Behavior of Tapered Diblock Copolymers from Self-Consistent Field Theory
journal, November 2013

  • Brown, Jonathan R.; Sides, Scott W.; Hall, Lisa M.
  • ACS Macro Letters, Vol. 2, Issue 12
  • DOI: 10.1021/mz400546h

A multi-species exchange model for fully fluctuating polymer field theory simulations
journal, November 2014

  • Düchs, Dominik; Delaney, Kris T.; Fredrickson, Glenn H.
  • The Journal of Chemical Physics, Vol. 141, Issue 17
  • DOI: 10.1063/1.4900574

Works referencing / citing this record:

Theoretical Aspects of Ionic Liquids for Soft‐Matter Sciences
journal, December 2018

  • Nakamura, Issei; Shock, Cameron J.; Eggart, Lisa
  • Israel Journal of Chemistry, Vol. 59, Issue 9
  • DOI: 10.1002/ijch.201800143

Tailoring the mechanical properties of polymer nanocomposites via interfacial engineering
journal, January 2019

  • Gao, Naishen; Hou, Guanyi; Liu, Jun
  • Physical Chemistry Chemical Physics, Vol. 21, Issue 34
  • DOI: 10.1039/c9cp02948f

Effect of sequence dispersity on morphology of tapered diblock copolymers from molecular dynamics simulations
journal, December 2016

  • Levine, William G.; Seo, Youngmi; Brown, Jonathan R.
  • The Journal of Chemical Physics, Vol. 145, Issue 23
  • DOI: 10.1063/1.4972141

A Review of Multiscale Computational Methods in Polymeric Materials
journal, January 2017

  • Gooneie, Ali; Schuschnigg, Stephan; Holzer, Clemens
  • Polymers, Vol. 9, Issue 12
  • DOI: 10.3390/polym9010016