Pattern formation mechanisms in sphere-forming diblock copolymer thin films
The order-disorder transition of a sphere-forming block copolymer thin film was numerically studied through a Cahn-Hilliard model. Simulations show that the fundamental mechanisms of pattern formation are spinodal decomposition and nucleation and growth. The range of validity of each relaxation proc...
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doaj-97ee536740524ddb9975ab2ab94621782020-11-24T21:42:08ZengPapers in PhysicsPapers in Physics1852-42491852-42492018-01-0110010000110.4279/PIP.100001Pattern formation mechanisms in sphere-forming diblock copolymer thin filmsLeopoldo R. GómezNicolás A. GarcíaRichard A. RegisterDaniel A. VegaThe order-disorder transition of a sphere-forming block copolymer thin film was numerically studied through a Cahn-Hilliard model. Simulations show that the fundamental mechanisms of pattern formation are spinodal decomposition and nucleation and growth. The range of validity of each relaxation process is controlled by the spinodal and order-disorder temperatures. The initial stages of spinodal decomposition are well approximated by a linear analysis of the evolution equation of the system. In the metastable region, the critical size for nucleation diverges upon approaching the order--disorder transition, and reduces to the size of a single domain as the spinodal is approached. Grain boundaries and topological defects inhibit the formation of superheated phases above the order--disorder temperature. The numerical results are in good qualitative agreement with experimental data on sphere-forming diblock copolymer thin films. Received: 22 August 2017, Accepted: 12 December 2017; Edited by: R. Dickman; Reviewed by: A. Peters, Dept. Chemical Engineering, Louisiana Tech Univ., Ruston, USA; DOI: http://dx.doi.org/10.4279/PIP.100001 Cite as: L R Gómez, N A García, R A Register, D A Vega, Papers in Physics 10, 100001 (2018) This paper, by L R Gómez, N A García, R A Register, D A Vega, is licensed under the Creative Commons Attribution License 4.0.http://www.papersinphysics.org/papersinphysics/article/view/405/pdf405Block CopolymerThin FilmsPhase TransitionSelf-assembly |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Leopoldo R. Gómez Nicolás A. García Richard A. Register Daniel A. Vega |
spellingShingle |
Leopoldo R. Gómez Nicolás A. García Richard A. Register Daniel A. Vega Pattern formation mechanisms in sphere-forming diblock copolymer thin films Papers in Physics Block Copolymer Thin Films Phase Transition Self-assembly |
author_facet |
Leopoldo R. Gómez Nicolás A. García Richard A. Register Daniel A. Vega |
author_sort |
Leopoldo R. Gómez |
title |
Pattern formation mechanisms in sphere-forming diblock copolymer thin films |
title_short |
Pattern formation mechanisms in sphere-forming diblock copolymer thin films |
title_full |
Pattern formation mechanisms in sphere-forming diblock copolymer thin films |
title_fullStr |
Pattern formation mechanisms in sphere-forming diblock copolymer thin films |
title_full_unstemmed |
Pattern formation mechanisms in sphere-forming diblock copolymer thin films |
title_sort |
pattern formation mechanisms in sphere-forming diblock copolymer thin films |
publisher |
Papers in Physics |
series |
Papers in Physics |
issn |
1852-4249 1852-4249 |
publishDate |
2018-01-01 |
description |
The order-disorder transition of a sphere-forming block copolymer thin film was numerically studied through a Cahn-Hilliard model. Simulations show that the fundamental mechanisms of pattern formation are spinodal decomposition and nucleation and growth. The range of validity of each relaxation process is controlled by the spinodal and order-disorder temperatures. The initial stages of spinodal decomposition are well approximated by a linear analysis of the evolution equation of the system. In the metastable region, the critical size for nucleation diverges upon approaching the order--disorder transition, and reduces to the size of a single domain as the spinodal is approached. Grain boundaries and topological defects inhibit the formation of superheated phases above the order--disorder temperature. The numerical results are in good qualitative agreement with experimental data on sphere-forming diblock copolymer thin films.
Received: 22 August 2017, Accepted: 12 December 2017; Edited by: R. Dickman; Reviewed by: A. Peters, Dept. Chemical Engineering, Louisiana Tech Univ., Ruston, USA; DOI: http://dx.doi.org/10.4279/PIP.100001
Cite as: L R Gómez, N A García, R A Register, D A Vega, Papers in Physics 10, 100001 (2018)
This paper, by L R Gómez, N A García, R A Register, D A Vega, is licensed under the Creative Commons Attribution License 4.0. |
topic |
Block Copolymer Thin Films Phase Transition Self-assembly |
url |
http://www.papersinphysics.org/papersinphysics/article/view/405/pdf405 |
work_keys_str_mv |
AT leopoldorgomez patternformationmechanismsinsphereformingdiblockcopolymerthinfilms AT nicolasagarcia patternformationmechanismsinsphereformingdiblockcopolymerthinfilms AT richardaregister patternformationmechanismsinsphereformingdiblockcopolymerthinfilms AT danielavega patternformationmechanismsinsphereformingdiblockcopolymerthinfilms |
_version_ |
1725918702807810048 |