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Triply-periodic networks are among the most complex and functionally valuable self-assembled morphologies, yet they form in nearly every class of biological and synthetic soft matter building blocks. In contrast to simpler assembly motifs…

Soft Condensed Matter · Physics 2022-06-01 Abhiram Reddy , Michael S. Dimitriyev , Gregory M. Grason

We study the thermodynamics of continuous transformations between two canonical, cubic network phases of block copolymer melts: double-gyroid, an equilibrium morphology for many systems; and double-diamond, often thought to be a close…

Soft Condensed Matter · Physics 2025-07-11 Micheal S. Dimitriyev , Benjamin R. Greenvall , Rejoy Matthew , Gregory M. Grason

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

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

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

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

The packing geometry of macromolecules in complex mesophases is of key importance to self-organization in synthetic and biological soft materials. While approximate or heuristic models rely on often-untested assumptions about how flexible…

Soft Condensed Matter · Physics 2023-10-05 Benjamin R. Greenvall , Michael S. Dimitriyev , Gregory M. Grason

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

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…

Soft Condensed Matter · Physics 2009-11-11 David M. Hall , Turab Lookman , Glenn H. Fredrickson , Sanjoy Banerjee

The dynamic and static properties of a supercooled (non-entangled) polymer melt are investigated via molecular dynamics (MD) simulations. The system is confined between two completely smooth and purely repulsive walls. The wall-to-wall…

Soft Condensed Matter · Physics 2007-05-23 Fathollah Varnik , Joerg Baschnagel , Kurt Binder

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

The isothermal, isobaric spontaneous crystallization of a supercooled polymer melt is investigated by MD simulation of an ensemble of fully-flexible linear chains. Frustration is introduced via two incommensurate length scales set by the…

Soft Condensed Matter · Physics 2018-11-19 Andrea Giuntoli , Sebastiano Bernini , Dino Leporini

Grain boundaries (GBs) are ubiquitous defects in crystalline materials. However, they remain less explored in block copolymer ordered phases. Here, we develop a self-consistent field theory framework to investigate GB structure and…

Soft Condensed Matter · Physics 2026-05-27 Jing Chen , Aiping Zhu , Dan Wei , An-Chang Shi , Kai Jiang

In many systems, nucleation of a stable solid may occur in the presence of other (often more than one) metastable phases. These may be polymorphic solids or even liquid phases. In such cases, nucleation of the solid phase from the melt may…

Materials Science · Physics 2013-04-08 Mantu Santra , Rakesh S. Singh , Biman Bagchi

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 establish a holographic duality between d-dimensional mixed-state symmetry-protected topological phases (mSPTs) and (d+1)-dimensional subsystem symmetry-protected topological states (SSPTs). Specifically, we show that the reduced density…

Quantum Physics · Physics 2025-05-22 Shijun Sun , Jian-Hao Zhang , Zhen Bi , Yizhi You

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…

Soft Condensed Matter · Physics 2009-11-13 Rajeev Kumar , M. Muthukumar

We have studied structure formation in a confined block copolymer melt by means of dynamic density functional theory (DDFT). The confinement is two-dimensional, and the confined geometry is that of a cylindrical nanopore. Although the…

Soft Condensed Matter · Physics 2009-11-13 G. J. A. Sevink , A. V. Zvelindovsky

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…

Soft Condensed Matter · Physics 2009-11-07 Dominik Düchs , D. E. Sullivan

We enumerate and classify nearly all of the possible mechanically stable (MS) packings of bidipserse mixtures of frictionless disks in small sheared systems. We find that MS packings form continuous geometrical families, where each family…

Soft Condensed Matter · Physics 2015-05-14 Guo-Jie Gao , Jerzy Blawzdziewicz , Corey S. O'Hern
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