2006
DOI: 10.1021/ma052075z
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Epitaxial Transition from Gyroid to Cylinder in a Diblock Copolymer Melt

Abstract: An epitaxial transition from a bicontinious double gyroid to a hexagonally packed cylinder structure induced by an external flow is simulated using real-space dynamical self-consistent field technique. In order to simulate the structural change correctly, we introduce a system size optimization technique by which emergence of artificial intermediate structures are suppressed. When a shear flow in [111] direction of the gyroid unit cell is imposed, a nucleation and growth of the cylinder domains is observed. We… Show more

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Cited by 70 publications
(103 citation statements)
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References 55 publications
(177 reference statements)
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“…It will be possible to use the experimentally determined χ parameters by employing more accurate free energy model such as the SCF model [15,16,27] and efficient numerical algorithms. (We note that recently Honda and Kawakatsu [66] proposed the hybrid theory of the DF and the SCF and reported that accurate and numerically efficient simulations can be performed by the hybrid method. By employing their method, accurate and fast simulations for the dynamics of micelles and vesicles may be possible.)…”
Section: Resultsmentioning
confidence: 95%
“…It will be possible to use the experimentally determined χ parameters by employing more accurate free energy model such as the SCF model [15,16,27] and efficient numerical algorithms. (We note that recently Honda and Kawakatsu [66] proposed the hybrid theory of the DF and the SCF and reported that accurate and numerically efficient simulations can be performed by the hybrid method. By employing their method, accurate and fast simulations for the dynamics of micelles and vesicles may be possible.)…”
Section: Resultsmentioning
confidence: 95%
“…Initial theoretical calculations by Matsen in 1998 suggested a low-energy pathway for the GYR → CYL transition, [ [ 85 ] which was supported by simulations, and experimentally observed by Schmidt et al in 2010 [86][87][88] (Figure 4 b). Figure 4 a shows calculated structures for the transition from CYL → GYR and vice versa.…”
Section: Gyroid To Cylindermentioning
confidence: 59%
“…An efficient numerical strategy, relying on this approximation, is the SCFT method. [37][38][39] In the following, we briefly review the SCFT method for a melt composed of AB-diblock copolymers, 39 for which, due to screening effects between the monomers, we can assume Gaussian statistics for the chain conformation. Within this approximation, each polymer chain consists of N A segments of A-type and N B segments of B-type with their respective statistical segment lengths b A and b B , which means that the total number of statistical segments of a chain is N = N A + N B .…”
Section: Methods and Simulation Detailsmentioning
confidence: 99%