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We introduce a mesoscale method for simulating hydrodynamic transport and self assembly of inhomogeneous polymer melts in pressure driven and drag induced flows. This method extends dynamic self consistent field theory (DSCFT) into the…

Soft Condensed Matter · Physics 2015-06-25 David M. Hall , Turab Lookman , Glenn H. Fredrickson , Sanjoy Banerjee

In a preceding paper, we have presented a general lattice formulation of the dynamic self-consistent field (DSCF) theory for inhomogeneous, unentangled homopolymer fluids. Here we apply the DSCF theory to study both transient and…

Soft Condensed Matter · Physics 2007-05-23 Maja Mihajlovic , Tak Shing Lo , Yitzhak Shnidman

We present a hybrid numerical method to introduce hydrodynamics in dynamic self-consistent field (SCF) studies of inhomogeneous polymer systems. It solves a set of coupled dynamical equations: The Navier-Stokes equations for the fluid flow,…

Soft Condensed Matter · Physics 2012-04-11 Liangshun Zhang , Agur Sevink , Friederike Schmid

The self-consistent field theory (SCFT) is a powerful framework for the study of the phase behavior and structural properties of many-body systems. In particular, polymeric SCFT has been successfully applied to inhomogeneous polymeric…

Soft Condensed Matter · Physics 2019-01-31 An-Chang Shi

We develop a multiscale simulation model for diffusion of solutes through porous triblock copolymer membranes. The approach combines two techniques: self-consistent field theory (SCFT) to predict the structure of the self-assembled,…

Diblock copolymers blended with homopolymer may self-assemble into spherical, cylindrical or lamellar aggregates. Transitions between these structures may be driven by varying the homopolymer molecular weight or the molecular weight or…

Statistical Mechanics · Physics 2011-06-28 M. J. Greenall , D. M. A. Buzza , T. C. B. McLeish

Self-consistent field theory (SCFT) is one of the useful methods to simulate phase separated structures of multi-component polymer systems. In this article, we propose an SCFT for semiflexible polymer melts, where the basic equations for…

Soft Condensed Matter · Physics 2025-03-04 Yutaka Oya , Toshihiro Kawakatsu

We compare two theoretical approaches to dielectric diblock copolymer melts in an external electric field. The first is a relatively simple analytic expansion in the relative copolymer concentration, and includes the full electrostatic…

Soft Condensed Matter · Physics 2012-01-31 Yoav Tsori , David Andelman , Chin-Yet Lin , M. Schick

Self-consistent field theory (SCFT) is one of the most widely-used framework in studying the equilibrium phase behaviors of inhomogenous polymers. For liquid crystalline polymeric systems, the main numerical challenges of solving SCFT…

Numerical Analysis · Mathematics 2024-09-16 Zhijuan He , Kai Jiang , Liwei Tan , Xin Wang

We present a lattice formulation of a dynamic self-consistent field (DSCF) theory that is capable of resolving interfacial structure, dynamics and rheology in inhomogeneous, compressible melts and blends of unentangled homopolymer chains.…

Soft Condensed Matter · Physics 2009-11-10 Maja Mihajlovic , Tak Shing Lo , Yitzhak Shnidman

We present a self-consistent field theory (SCFT) study of spherical micelle formation in a blend of poly(styrene-butadiene) diblocks and homopolystyrene. The micelle core radii, corona thicknesses and critical micelle concentrations are…

Soft Condensed Matter · Physics 2011-06-28 M. J. Greenall , D. M. A. Buzza , T. C. B. McLeish

Self-Consistent Field Theory is applied to a film of cylindrical-forming block copolymer subject to a surface field which tends to align the cylinders parallel to electrical plates, and to an external electric field tending to align them…

Soft Condensed Matter · Physics 2009-11-11 Chin-Yet Lin , M. Schick

Self-consistent field theory (SCFT) and strong segregation theory (SST) are used to explore the parameter space governing the self-assembly of cylinder forming block copolymers (BCPs) on a modulated substrate. The stability of in-plane…

Materials Science · Physics 2018-11-16 Karim Gadelrab , Alfredo Alexander-Katz

Block copolymers provide a wonderful platform in studying the soft condensed matter systems. Many fascinating ordered structures have been discovered in bulk and confined systems. Among various theories, the self-consistent field theory…

Soft Condensed Matter · Physics 2019-05-01 Huayi Wei , Ming Xu , Wei Si , Kai Jiang

We present numerical calculations of lamellar phases of block copolymers at patterned surfaces. We model symmetric di-block copolymer films forming lamellar phases and the effect of geometrical and chemical surface patterning on the…

Soft Condensed Matter · Physics 2016-02-18 Xingkun Man , David Andelman , Henri Orland

Disordered hyperuniform (DHU) systems are recently discovered exotic states of matter, where (normalized) large-scale density fluctuations are completely suppressed as in crystals, even though the systems are isotropic and lack conventional…

Soft Condensed Matter · Physics 2024-03-26 Duyu Chen , Michael A. Klatt , Glenn H. Fredrickson

The phase behavior of asymmetrically interacting ABC star triblock copolymer melts is investigated by the self-consistent field theory (SCFT). Motivated by the experimental systems, in this study, we focus on the systems in which the…

Soft Condensed Matter · Physics 2015-08-25 Kai Jiang , Juan Zhang , Qin Liang

Solution self-assembly of amphiphilic block copolymers (BCs) is typically performed by a solvent-to-water exchange. However, BC assemblies are often trapped in metastable states depending on the mixing conditions such as the magnitude and…

We have developed a dynamic self-consistent field theory, without any adjustable parameters, for unentangled polymer blends under shear. Our model accounts for the interaction between polymers, and enables one to compute the evolution of…

Soft Condensed Matter · Physics 2009-11-10 Tak Shing Lo , Maja Mihajlovic , Yitzhak Shnidman , Wentao Li , Dilip Gersappe

We propose a high-speed and accurate hybrid dynamic density functional theory for the computer simulations of the phase separation processes of polymer melts and blends. The proposed theory is a combination of the dynamic self-consistent…

Soft Condensed Matter · Physics 2009-11-11 Takashi Honda , Toshihiro Kawakatsu
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