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The phase behaviour of blends of ABC triblock and ac diblock copolymers is examined using self-consistent field theory. Several equilibrium lamellar structures are observed, depending on the volume fraction of the diblocks, phi_2, the…

Soft Condensed Matter · Physics 2009-11-07 Robert A. Wickham , An-Chang Shi

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

We consider the micellization of block copolymers in solution, employing self consistent field theory with an additional constraint that permits the examination of intermediate structures. From the information for an isolated micelle…

Soft Condensed Matter · Physics 2009-11-10 Daniel Duque

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…

Soft Condensed Matter · Physics 2007-05-23 Karl Isak Skau , Edgar M. Blokhuis , Jan van Male

We derive an expression for the free energy of the blends of block copolymers expressed as a functional of the density distribution of the monomer of each block. The expression is a generalization of the Flory-Huggins-de Gennes theory for…

Soft Condensed Matter · Physics 2007-05-23 Takashi Uneyama , Masao Doi

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

According to the universality hypothesis, the phase behavior of different block copolymer melt models having fixed composition depends solely on two parameters: the invariant chain length $\bar{N}$ and the effective interaction parameter…

Soft Condensed Matter · Physics 2024-08-16 Artem Petrov , Hejin Huang , Alfredo Alexander-Katz

A phenomenological mean-field theory is used to investigate the properties of solvent-diluted di-block copolymers (BCP), in which the two BCP components (A and B) form a variety of phases that are diluted by a solvent (S). Using this…

Soft Condensed Matter · Physics 2014-04-22 Shai Cohen , David Andelman

We analyze the recently proposed "pattern-matching" phase of a Gaussian random heteropolymer adsorbed on a disordered substrate [S. Srebnik, A.K. Chakraborty and E.I. Shakhnovich, Phys. Rev. Lett. 77, 3157 (1996)]. By mapping the problem to…

Statistical Mechanics · Physics 2009-10-30 T. Hwa , D. Cule

We propose a field-theoretical approach to a polymer system immersed in an ideal mixture of clustering centers. The system contains several species of these clustering centers with different functionality, each of which connects a fixed…

Materials Science · Physics 2015-05-28 Riccardo Fantoni , Kristian K. Muller-Nedebock

We study analytically a continuum model for phase-separation in binary polymer blends based on the Flory-Huggins-De Gennes free energy, by means of the self-consistent large-$n$ limit approach. The model is solved for values of the…

Statistical Mechanics · Physics 2009-10-30 Claudio Castellano , Federico Corberi

A computational framework that leverages data from self-consistent field theory simulations with deep learning to accelerate the exploration of parameter space for block copolymers is presented. This is a substantial two-dimensional…

Materials Science · Physics 2023-07-04 Yao Xuan , Kris T. Delaney , Hector D. Ceniceros , Glenn H. Fredrickson

A general theory has been developed for a polydisperse semi-flexible multi-block copolymer melt. Using the Bawendi-Freed approach to model semi-flexible chains an expression for the Landau free energy is derived in the weak segregation…

Soft Condensed Matter · Physics 2023-03-22 P. M. Jager , W. J. Briels , J. J. M. Slot

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…

Soft Condensed Matter · Physics 2021-09-01 Jiayu Xie , Yu Li , An-Chang Shi

Self-consistent theory of electron localization in disordered systems is generalized for the case of interacting electrons. We propose and critically compare a number of possible self-consistency schemes which take into account the lowest…

Condensed Matter · Physics 2008-02-03 E. Z. Kuchinskii , M. V. Sadovskii , V. G. Suvorov

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 study the two-dimensional, disordered, attractive Hubbard model by the projector quantum Monte Carlo method and Bogoliubov - de Gennes mean-field theory. Our results for the ground state show the appearance of a new phase with charge…

Condensed Matter · Physics 2009-11-07 Bhargavi Srinivasan , Dima L. Shepelyansky

We use a Ginzburg-Landau free energy functional to investigate diblock copolymer morphologies when the copolymer melt interacts with one surface or is confined between two chemically patterned surfaces. For temperatures above the…

Soft Condensed Matter · Physics 2009-10-31 Yoav Tsori , David Andelman

In this work we consider the inverse problem of finding guiding pattern shapes that result in desired self-assembly morphologies of block copolymer melts. Specifically, we model polymer self-assembly using Self-Consistent Field Theory and…

Soft Condensed Matter · Physics 2021-12-20 Daniil Bochkov , Frederic Gibou

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