Numerical investigation of local defectiveness control of diblock copolymer patterns

D. Jeong, Y. Choi, Junseok Kim

Research output: Contribution to journalArticle

Abstract

We numerically investigate local defectiveness control of self-assembled diblock copolymer patterns through appropriate substrate design. We use a nonlocal Cahn-Hilliard (CH) equation for the phase separation dynamics of diblock copolymers. We discretize the nonlocal CH equation by an unconditionally stable finite difference scheme on a tapered trench design and, in particular, we use Dirichlet, Neumann, and periodic boundary conditions. The value at the Dirichlet boundary comes from an energy-minimizing equilibrium lamellar pro1le. We solve the resulting discrete equations using a Gauss-Seidel iterative method. We perform various numerical experiments such as effects of channel width, channel length, and angle on the phase separation dynamics. The simulation results are consistent with the previous experimental observations.

Original languageEnglish
Article number33001
JournalCondensed Matter Physics
Volume19
Issue number3
DOIs
Publication statusPublished - 2016

Fingerprint

copolymers
boundary conditions
simulation
energy

Keywords

  • Diblock copolymer
  • Local defectivity control
  • Nonlocal Cahn-Hilliard equation

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Numerical investigation of local defectiveness control of diblock copolymer patterns. / Jeong, D.; Choi, Y.; Kim, Junseok.

In: Condensed Matter Physics, Vol. 19, No. 3, 33001, 2016.

Research output: Contribution to journalArticle

@article{f9131dc2aef242f39c44741baac7657b,
title = "Numerical investigation of local defectiveness control of diblock copolymer patterns",
abstract = "We numerically investigate local defectiveness control of self-assembled diblock copolymer patterns through appropriate substrate design. We use a nonlocal Cahn-Hilliard (CH) equation for the phase separation dynamics of diblock copolymers. We discretize the nonlocal CH equation by an unconditionally stable finite difference scheme on a tapered trench design and, in particular, we use Dirichlet, Neumann, and periodic boundary conditions. The value at the Dirichlet boundary comes from an energy-minimizing equilibrium lamellar pro1le. We solve the resulting discrete equations using a Gauss-Seidel iterative method. We perform various numerical experiments such as effects of channel width, channel length, and angle on the phase separation dynamics. The simulation results are consistent with the previous experimental observations.",
keywords = "Diblock copolymer, Local defectivity control, Nonlocal Cahn-Hilliard equation",
author = "D. Jeong and Y. Choi and Junseok Kim",
year = "2016",
doi = "10.5488/CMP.19.33001",
language = "English",
volume = "19",
journal = "Condensed Matter Physics",
issn = "1607-324X",
publisher = "National Academy of Sciences of Ukraine",
number = "3",

}

TY - JOUR

T1 - Numerical investigation of local defectiveness control of diblock copolymer patterns

AU - Jeong, D.

AU - Choi, Y.

AU - Kim, Junseok

PY - 2016

Y1 - 2016

N2 - We numerically investigate local defectiveness control of self-assembled diblock copolymer patterns through appropriate substrate design. We use a nonlocal Cahn-Hilliard (CH) equation for the phase separation dynamics of diblock copolymers. We discretize the nonlocal CH equation by an unconditionally stable finite difference scheme on a tapered trench design and, in particular, we use Dirichlet, Neumann, and periodic boundary conditions. The value at the Dirichlet boundary comes from an energy-minimizing equilibrium lamellar pro1le. We solve the resulting discrete equations using a Gauss-Seidel iterative method. We perform various numerical experiments such as effects of channel width, channel length, and angle on the phase separation dynamics. The simulation results are consistent with the previous experimental observations.

AB - We numerically investigate local defectiveness control of self-assembled diblock copolymer patterns through appropriate substrate design. We use a nonlocal Cahn-Hilliard (CH) equation for the phase separation dynamics of diblock copolymers. We discretize the nonlocal CH equation by an unconditionally stable finite difference scheme on a tapered trench design and, in particular, we use Dirichlet, Neumann, and periodic boundary conditions. The value at the Dirichlet boundary comes from an energy-minimizing equilibrium lamellar pro1le. We solve the resulting discrete equations using a Gauss-Seidel iterative method. We perform various numerical experiments such as effects of channel width, channel length, and angle on the phase separation dynamics. The simulation results are consistent with the previous experimental observations.

KW - Diblock copolymer

KW - Local defectivity control

KW - Nonlocal Cahn-Hilliard equation

UR - http://www.scopus.com/inward/record.url?scp=84994631329&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84994631329&partnerID=8YFLogxK

U2 - 10.5488/CMP.19.33001

DO - 10.5488/CMP.19.33001

M3 - Article

AN - SCOPUS:84994631329

VL - 19

JO - Condensed Matter Physics

JF - Condensed Matter Physics

SN - 1607-324X

IS - 3

M1 - 33001

ER -