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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

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

Using the self-consistent field theory (SCFT) in spherical unit cells of various dimensionalities, D, a phase diagram of a diblock, A-b-B, is calculated in 5 dimensional space, d = 5. This is an extension of a previous work for d = 4. The…

软凝聚态物质 · 物理学 2014-10-14 Michal Dziecielski , Krzysztof Lewandowski , Michal Banaszak

We present a generalized theory of microphase separation for charged-neutral diblock copolymer melt. Stability limit of the disordered phase for salt-free melt has been calculated using Random Phase Approximation (RPA) and self-consistent…

软凝聚态物质 · 物理学 2009-11-13 Rajeev Kumar , M. Muthukumar

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…

软凝聚态物质 · 物理学 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…

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

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

Self-consistent field theory (SCFT) has established that for cubic network phases in diblock copolymer melts, the double-gyroid (DG) is thermodynamically stable relative to the competitor double-diamond (DD) and double-primitive (DP)…

软凝聚态物质 · 物理学 2023-06-06 Michael S. Dimitriyev , Abhiram Reddy , Gregory M. Grason

We compute phase diagrams for $A_nB_m$ starblock copolymers in the strong-segregation regime as a function of volume fraction $\phi$, including bicontinuous phases related to minimal surfaces (G, D, and P surfaces) as candidate structures.…

软凝聚态物质 · 物理学 2009-10-31 Peter D. Olmsted , Scott T. Milner

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…

软凝聚态物质 · 物理学 2024-03-26 Duyu Chen , Michael A. Klatt , Glenn H. Fredrickson

We investigate the phase behavior of symmetric AB diblock copolymers confined into a thin film. The film boundaries are parallel, impenetrable and attract the A component of the diblock copolymer. Using a self-consistent field technique…

统计力学 · 物理学 2009-10-31 Thorsten Geisinger , Marcus Mueller , Kurt Binder

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

We present a self-consistent field theory (SCFT) of semiflexible (wormlike) diblock copolymers, each consisting of a rigid and a flexible part. The segments of the polymers are otherwise identical, in particular with regard to their…

软凝聚态物质 · 物理学 2009-11-07 Dominik Düchs , D. E. Sullivan

We present a numerical algorithm to evaluate the self-consistent field theory for melts composed of block copolymers with multiply-branched architecture. We present results for the case of branched copolymers with doubly-functional groups…

软凝聚态物质 · 物理学 2007-05-23 Gregory M. Grason , Randall D. Kamien

We derive the mean-field theory of disordered block-copolymers composed of two monomeric species, combining Edwards' functional method with the replica technique of disordered systems. In the absence of disorder we recover the canonical…

软凝聚态物质 · 物理学 2011-01-17 Gabriele Migliorini

The phase behavior of linear dendritic triblock copolymer melts(AB2C4) is studied by self-consistent-field theory (SCFT) in order to find the effects of branching on the phase behavior of ABC linear triblock copolymer melts. We focus on a…

软凝聚态物质 · 物理学 2023-09-19 Danyang Chen , Xiaowei Ning

In a previous article [E.M. Blokhuis, K.I. Skau, and J.B. Avalos, J. Chem. Phys. 119, 3483 (2003)], a self-consistent field formalism was derived for weakly adsorbing polymers, valid for any chain length. It was shown that the presence of a…

软凝聚态物质 · 物理学 2007-05-23 Karl Isak Skau , Edgar M. Blokhuis , Jan van Male

We analyze the energetics of sphere-like micellar phases in diblock copolymers in terms of well-studied, geometric quantities for their lattices. We argue that the A15 lattice with Pm3n symmetry should be favored as the blocks become more…

软凝聚态物质 · 物理学 2007-05-23 G. M. Grason , B. A. DiDonna , R. D. Kamien

A mesoscopic model of a diblock copolymer is used to study the stability of a uniform lamellar phase under a reciprocating shear flow. Approximate viscosity contrast between the microphases is allowed through a linear dependence of the…

软凝聚态物质 · 物理学 2009-11-07 Peilong Chen , Jorge Vinals

The reaction-diffusion model can generate a wide variety of spatial patterns, which has been widely applied in chemistry, biology, and physics, even used to explain self-regulated pattern formation in the developing animal embryo. In this…

数值分析 · 数学 2020-01-29 Hui Zhang , Xiaoyun Jiang , Fanhai Zeng , George Em Karniadakis
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