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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…

Soft Condensed Matter · Physics 2014-10-14 Michal Dziecielski , Krzysztof Lewandowski , Michal Banaszak

We model a melt of monodisperse side-chain liquid crystalline polymers as a melt of comb copolymers in which the side groups are rod-coil diblock copolymers. We consider both excluded volume and Maier-Saupe interactions. The first acts…

Soft Condensed Matter · Physics 2007-05-23 Marcela Hernandez , Harry Westfahl Junior

An efficient pseudo-spectral numerical method is introduced for calculating a self-consistent field (SCF) approximation for the linear susceptibility of ordered phases in block copolymer melts (sometimes referred to as the random phase…

Soft Condensed Matter · Physics 2009-11-13 Amit Ranjan , Jian Qin , David C. Morse

Microphase separation in polymeric systems provides a bottom-up strategy to fabricate nanostructures. Polymers that are reported to undergo microphase separation usually include block copolymers or polyelectrolytes. Neutral homopolymers,…

Soft Condensed Matter · Physics 2022-09-26 Xian Kong , Jian Qin

Phase separation may be driven by the minimization of a suitable free energy ${\cal F}$. This is the case, e.g., for diblock copolimer melts, where ${\cal F}$ is minimized by a steady periodic pattern whose wavelength $\lambda_{GS}$ depends…

Statistical Mechanics · Physics 2015-09-14 Paolo Politi , Alessandro Torcini

Whereas entropy can induce phase behavior that is as rich as seen in energetic systems, microphase separation remains a very rare phenomenon in entropic systems. In this paper, we present a density functional approach to study the…

Soft Condensed Matter · Physics 2009-11-10 Paul P. F. Wessels , Bela M. Mulder

We extensively study the phase diagram of a diblock copolymer melt confined in a cylindrical nanopore using real-space self-consistent mean-field theory. We discover a rich variety of new two-dimensional equilibrium structures that have no…

Soft Condensed Matter · Physics 2009-11-11 Weihua Li , Robert A. Wickham

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

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…

Soft Condensed Matter · Physics 2011-01-17 Gabriele Migliorini

In this work we investigated the phase behavior of melts of block-copolymers with one charged block by means of dissipative particle dynamics with explicit electrostatic interactions. We assumed that all the Flory-Huggins \c{hi} parameters…

Soft Condensed Matter · Physics 2019-06-12 Alexey A. Gavrilov , Alexander V. Chertovich , Igor I. Potemkin

Inspired by recent experiments, we present a phase-field model of microphase separation in an elastomer swollen with a solvent. The imbalance between the molecular scale of demixing and the mesoscopic scale beyond which elasticity operates…

Soft Condensed Matter · Physics 2025-09-05 Manu Mannattil , Haim Diamant , David Andelman

The dynamics of microphase separation and the orientation of lamellae in diblock copolymers is investigated in terms of a mean-field model. The formation of lamellar structures and their stable states are explored and it is shown that…

Soft Condensed Matter · Physics 2015-06-15 Vanessa Weith , Alexei Krekhov , Walter Zimmermann

Microphase separation in random multiblock copolymers is studied with mean-field theory assuming that long blocks of a copolymer are strongly segregated, whereas short blocks are able to penetrate into "alien" domains and exchange between…

Soft Condensed Matter · Physics 2021-01-12 E. N. Govorun , A. V. Chertovich

We study analytically the intricate phase behavior of cross-linked $AB$ diblock copolymer melts, which can undergo two main phase transitions due to quenched random constraints: Gelation, i.e., spatially random localization of polymers…

Soft Condensed Matter · Physics 2015-02-10 Alice von der Heydt , Annette Zippelius

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

Monte Carlo simulations in the grand canonical ensemble were used to obtain critical parameters and conditions leading to microphase separation for block copolymers with solvophilic and solvophobic segments. Solvent selectivity was…

Soft Condensed Matter · Physics 2024-09-13 Athanassios Z. Panagiotopoulos

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

We develop a new quantitative molecular theory of liquid-phase dipolar polymer gels. We model monomer units of the polymer network as a couple of charged sites separated by a fluctuating distance. For the first time, within the random phase…

Soft Condensed Matter · Physics 2021-03-09 Yury A. Budkov , Nikolai N. Kalikin , Andrei L. Kolesnikov

We study the phase behavior of diblock copolymers in presence of an external electric field. We employ self-consistent field theory and treat the relevant Maxwell equation as an additional self-consistent equation. Because we do not treat…

Soft Condensed Matter · Physics 2008-06-23 Chin-Yet Lin , Michael Schick , David Andelman

We investigate equilibrium microstructures exhibited by diblock copolymers in confined 3D geometries. We perform Self-Consistent Field Theory (SCFT) simulations using a finite-element based computational framework (Ackerman et al. 2017),…

Soft Condensed Matter · Physics 2019-10-22 Ananth Tenneti , David M Ackerman , Baskar Ganapathysubramanian
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