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We present numerical calculations of lamellar phases of di-block copolymers (BCP) confined between two surfaces, where the top surface is flat and the bottom one is corrugated. The corrugated substrate is assumed to have a single $q$-mode…

软凝聚态物质 · 物理学 2016-02-17 Xingkun Man , Jiuzhou Tang , Pan Zhou , Dadong Yan , David Andelman

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…

软凝聚态物质 · 物理学 2019-05-01 Huayi Wei , Ming Xu , Wei Si , Kai Jiang

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…

统计力学 · 物理学 2011-06-28 M. J. Greenall , D. M. A. Buzza , T. C. B. McLeish

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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 2025-03-04 Yutaka Oya , Toshihiro Kawakatsu

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…

软凝聚态物质 · 物理学 2009-11-11 Chin-Yet Lin , M. Schick

We investigate the effects of chain flexibility on the self-assembly behavior of symmetric diblock copolymers (BCPs) when they are confined as a thin film between two surfaces. Employing worm-like chain (WLC) self-consistent field theory,…

软凝聚态物质 · 物理学 2023-08-07 Mingyang Chen , Yuguo Chen , Yanyan Zhu , Ying Jiang , David Andelman , Xingkun Man

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…

软凝聚态物质 · 物理学 2016-02-18 Xingkun Man , David Andelman , Henri Orland

The formation of various bicontinuous phases from binary blends of linear AB diblock copolymers (DBCPs) is studied using the polymeric self-consistent field theory. The theoretical study predicts that the double-diamond and the "plumber's…

软凝聚态物质 · 物理学 2021-09-01 Chi To Lai , An-Chang Shi

The kinetic paths of structural evolution and formation of block copolymer (BCP) particles are explored using dynamic self-consistent field theory (DSCFT). It is shown that the process-directed self-assembly of BCP immersed in a poor…

软凝聚态物质 · 物理学 2023-08-03 Yanyan Zhu , Changhang Huang , Liangshun Zhang , David Andelman , Xingkun Man

Self-consistent field theory (SCFT) has proven to be a powerful tool for modeling equilibrium microstructures of soft materials, particularly for multiblock polymers. A very successful approach to numerically solving the SCFT set of…

软凝聚态物质 · 物理学 2017-01-04 David M. Ackerman , Kris Delaney , Glenn H. Fredrickson , Baskar Ganapathysubramanian

We introduce a mesoscale technique for simulating the structure and rheology of block copolymer melts and blends in hydrodynamic flows. The technique couples dynamic self consistent field theory (DSCFT) with continuum hydrodynamics and flow…

软凝聚态物质 · 物理学 2009-11-11 David M. Hall , Turab Lookman , Glenn H. Fredrickson , Sanjoy Banerjee

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…

数值分析 · 数学 2024-09-16 Zhijuan He , Kai Jiang , Liwei Tan , Xin Wang

The phase behaviour of binary blends composed of A$_1$B$_1$ and A$_2$B$_2$ diblock copolymers is systematically studied using the polymeric self-consistent field theory, focusing on the formation and relative stability of various spherical…

软凝聚态物质 · 物理学 2021-09-01 Jiayu Xie , Yu Li , An-Chang Shi

We explore the relative stability of three possible orientations of cylinder-forming di-block copolymer on a sinusoidally corrugated substrate. The cylinders can be aligned either parallel to the substrate, with their long axis being…

软凝聚态物质 · 物理学 2019-02-21 Yanyan Zhu , Karim Aissou , David Andelman , Xingkun Man

Co-assembly of inorganic nanoparticles (NPs) and nanostructured polymer matrix represents an intricate interplay of enthalpic or entropic forces. Particle size largely affects the phase behavior of the nanocomposite. Theoretical studies…

软凝聚态物质 · 物理学 2022-04-25 Le Ma , Hejin Huang , Peter Ercius , Alfredo Alexander-Katz , Ting Xu

We study block copolymers (BCP) on patterned substrates, where the top polymer film surface is not constrained but is a free interface that adapts its shape self-consistently. In particular, we investigate the combined effect of the free…

软凝聚态物质 · 物理学 2016-02-18 Xingkun Man , David Andelman , Henri Orland

Block copolymer (BCP) melts play a critical role in the design of thermoplastics, owing in large part to the creation of alternating nano-scale domains of soft and stiff components. Considerable attention has been given to the…

软凝聚态物质 · 物理学 2026-03-31 Krista G. Schoonover , Gaurav Rawat , Emily B. Pentzer , Michael S. Dimitriyev

This work presents a general and unified theory describing block copolymer self-assembly in the presence of free surfaces and nanoparticles in the context of Self-Consistent Filed Theory. Specifically, the derived theory applies to free and…

软凝聚态物质 · 物理学 2021-12-17 Daniil Bochkov , Ivana Bagaric , Gaddiel Ouaknin , Frederic Gibou

A self consistent field theory for compressible polymer mixtures is developed by introducing elements of classical density functional theory into the framework of the Helfand theory. It is then applied to study free surfaces of binary (A,B)…

凝聚态物理 · 物理学 2009-10-28 F. Schmid
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