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Related papers: Weak Segregation Theory and Non-Conventional Morph…

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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

We study morphologies of thin-film diblock copolymers between two flat and parallel walls. The study is restricted to the weak segregation regime below the order-disorder transition temperature. The deviation from perfect lamellar shape is…

Soft Condensed Matter · Physics 2009-11-07 Yoav Tsori , David Andelman

The aim of this paper is two-fold. First, via a phenomenological consideration I show that, equally with the conventional phases (body-centred cubic, hexagonal planar and lamellar), such non-conventional phases as simple cubic,…

Soft Condensed Matter · Physics 2007-05-23 Igor Erukhimovich

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

We have identified the effect of the Wigner-Seitz cell geometry in the strong segregation limit of diblock copolymer melts with strong composition asymmetry. A variational problem is proposed describing the distortions of the chain paths…

Soft Condensed Matter · Physics 2010-09-06 C. B. Muratov , M. Novaga , G. Orlandi , C. J. Garcia-Cervera

In this paper we consider thin films of AB block copolymer melts confined between two parallel plates. The plates are identical and may have a preference for one of the monomer types over the other. The system is characterized by four…

Soft Condensed Matter · Physics 2009-11-11 Hindrik Jan Angerman , Albert Johner , Alexander N. Semenov

A new mean-field type theory is proposed to study order-disorder transitions (ODT) in block copolymers. The theory applies to both the weak segregation (WS) and the strong segregation (SS) regimes. A new energy functional is proposed…

Materials Science · Physics 2016-08-31 A. Rebei , J. de Pablo

The self-assembly of block copolymers containing rigid blocks have received abiding attention due to its rich phase behavior and potential for use in a variety of applications. In this work, under asymmetric interactions between rod/coil…

Soft Condensed Matter · Physics 2021-01-20 X. -G. Han , N. Liang , H. Zhang

When two types of side chains (A,B) are densely grafted to a (stiff) backbone and the resulting bottle-brush polymer is in a solution under poor solvent conditions, an incompatibility between A and B leads to microphase separation in the…

Soft Condensed Matter · Physics 2015-05-28 Igor Erukhimovich , Panagiotis E. Theodorakis , Wolfgang Paul , Kurt Binder

We present several ordering mechanisms in diblock copolymers. For temperatures above the order-disorder temperature and in the weak segregation regime, a linear response theory is presented which gives the polymer density in the vicinity of…

Soft Condensed Matter · Physics 2007-05-23 Yoav Tsori , David Andelman

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…

Soft Condensed Matter · Physics 2007-05-23 G. M. Grason , B. A. DiDonna , R. D. Kamien

We present a novel computational implementation of strong segregation theory, developed specifically for calculations of phase separated ABC star terpolymers. The method allows calculation of free energies of common two-dimensional…

Soft Condensed Matter · Physics 2026-05-21 Merin Joseph , Daniel J. Read , Alastair M. Rucklidge

The Leibler theory [L. Leibler, Macromolecules, v.13, 1602 (1980)] for microphase separation in AB block copolymer melts is generalized for systems with arbitrary topology of molecules. A diagrammatic technique for calculation of the…

Soft Condensed Matter · Physics 2009-10-31 A. N. Morozov , J. G. E. M. Fraaije

We inquire about the possible coexistence of macroscopic and microstructured phases in random Q-block copolymers built of incompatible monomer types A and B with equal average concentrations. In our microscopic model, one block comprises M…

Soft Condensed Matter · Physics 2011-09-05 Alice von der Heydt , Marcus Müller , Annette Zippelius

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…

Soft Condensed Matter · Physics 2009-11-07 Peilong Chen , Jorge Vinals

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

Weak topological phases are usually described in terms of protection by the lattice translation symmetry. Their characterization explicitly relies on periodicity since weak invariants are expressed in terms of the momentum-space torus. We…

Mesoscale and Nanoscale Physics · Physics 2016-07-01 I. C. Fulga , D. I. Pikulin , T. A. Loring

We examine the alignment of thin film diblock copolymers subject to a perpendicular electric field. Two regimes are considered separately: weak segregation and strong segregation. For weakly segregated blocks, below a critical value of the…

Soft Condensed Matter · Physics 2009-11-07 Yoav Tsori , David Andelman

A nonequilibrium molecular dynamics computer simulation on microsegregated solutions of symmetrical diblock copolymers is reported. As the polymer concentration increases, the system undergoes phase transitions in the following order: body…

Soft Condensed Matter · Physics 2007-05-23 Igor Rychkov , Kenichi Yoshikawa

Quasicrystals (materials with long range order but without the usual spatial periodicity of crystals) were discovered in several soft matter systems in the last twenty years. The stability of quasicrystals has been attributed to the…

Soft Condensed Matter · Physics 2023-10-12 Merin Joseph , Daniel J. Read , Alastair M. Rucklidge
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