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Related papers: Easy orientation of diblock copolymers on self-ass…

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We present a model addressing the orientation transition of symmetric block copolymers such as PS/PMMA on smooth and rough surfaces. The distortion free energy of parallel and perpendicular lamellar phases in contact with a rough solid…

Soft Condensed Matter · Physics 2012-01-31 Yoav Tsori , Easan Sivaniah , David Andelman , Takeji Hashimoto

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

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

We consider the relative stability of parallel and perpendicular lamellar layers on corrugated surfaces. The model can be applied to smectic phases of liquid crystals, to lamellar phases of short-chain amphiphiles and to lamellar phases of…

Soft Condensed Matter · Physics 2009-11-10 Yoav Tsori , David Andelman

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 explore the relative stability of three possible orientations of cylinder-forming di-block copolymer on a sinusoidally corrugated substrate. The cylinders can be aligned either parallel to the substrate, with their long axis being…

Soft Condensed Matter · Physics 2019-02-21 Yanyan Zhu , Karim Aissou , David Andelman , Xingkun Man

We have studied both experimentally and theoretically the surface pressure isotherms of copolymers of polystyrene-polyethyleneoxide (PS-PEO) at the air-water interface. The SCMF (single chain mean-field) theory provides a very good…

Soft Condensed Matter · Physics 2009-10-30 M. C. Fauré , P. Bassereau , M. A. Carignano , I. Szleifer , Y. Gallot , D. Andelman

We present few ordering mechanisms in block copolymer melts in the coarse-graining approach. For chemically homogeneous or modulated confining surfaces, the surface ordering is investigated above and below the order-disorder temperature. In…

Soft Condensed Matter · Physics 2012-01-31 Yoav Tsori , David Andelman

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

We investigate the effect of chemically patterned surfaces on the morphology of diblock copolymers below the order-disorder transition. Profiles for lamellar phases in contact with one surface, or confined between two surfaces are obtained…

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

We study thin films of A/B diblock copolymer in a lamellar phase confined between two parallel plates (electrodes) that impose a constant voltage across the film. The weak-segregation limit is explored via a Ginzburg-Landau-like free-energy…

Soft Condensed Matter · Physics 2019-02-21 B. Zheng , X. -K. Man , Z. C. Ou-Yang , M. Schick , D. Andelman

We study the effect of monomer immobilization (quenching) on the orientation of the lamellae in symmetric diblock copolymer thin films with neutrally wetting surfaces. A small fraction of the monomers immediately next to the solid substrate…

Condensed Matter · Physics 2009-10-30 Wilfred H. Tang , Thomas A. Witten

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 consider orientation mechanisms for block copolymers in an electric field. Theoretical and experimental studies have shown that nonuniformity of the dielectric constant gives rise to a preferred orientation of the melt with respect to…

Soft Condensed Matter · Physics 2009-11-10 Y. Tsori , F. Tournilhac , L. Leibler

We study the cylinder to sphere morphological transition of diblock copolymers in aqueous solution with a hydrophobic block and a charged block. We find a metastable undulated cylinder configuration for a range of charge and salt…

Soft Condensed Matter · Physics 2009-11-11 Gregory M. Grason , Christian D. Santangelo

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

We propose a fast and robust scheme for the direct minimization of the Ohta-Kawasaki energy that characterizes the microphase separation of diblock copolymer melts. The scheme employs a globally convergent modified Newton method with line…

Computational Physics · Physics 2022-10-20 Lianghao Cao , Omar Ghattas , J. Tinsley Oden

Numerically minimizing a continuous free-energy functional which yields several modulated phases, we obtain the order-parameter profiles and interfacial free energies of symmetric and non-symmetric tilt boundaries within the lamellar phase,…

Soft Condensed Matter · Physics 2009-10-31 R. R. Netz , D. Andelman , M. Schick

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

The mesoscale rheology of a lamellar phase of a block copolymer is modeled as a structured fluid of uniaxial symmetry. The model predicts a viscoelastic response that depends on the angle between the the local lamellar planes and velocity…

Soft Condensed Matter · Physics 2013-01-14 Chi-Deuk Yoo , Jorge Vinals
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