Target Patterns in Phase Separation Induced by Cross-Linking

Miho Motoyama, Yoshihiro Yamazaki, Takao Ohta

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We introduce a quite simple model for a phase-separating binary mixture where one of the components is cross-linked. It is shown by computer simulations that target patterns are generated. We use a Cahn-Hilliard equation with a bulk free energy density which varies as a molecular weight changes with time. Target patterns are obtained in the following way. We first quench the system, having an off-critical composition, into a spinodal region, and find that disconnected droplets emerge in the system. With cross-linking one of the components, the phase diagram of the system shifts to a location where a bicontinuous structure is formed. As a result, target patterns grow from the droplets without any additional nuclei.

Original languageEnglish
Pages (from-to)729-732
Number of pages4
JournalJournal of the Physical Society of Japan
Volume70
Issue number3
DOIs
Publication statusPublished - 2001 Mar
Externally publishedYes

Fingerprint

binary mixtures
molecular weight
flux density
computerized simulation
free energy
phase diagrams
nuclei
shift

Keywords

  • Cross-linking
  • Phase separation
  • Polymer blend
  • Target pattern

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Target Patterns in Phase Separation Induced by Cross-Linking. / Motoyama, Miho; Yamazaki, Yoshihiro; Ohta, Takao.

In: Journal of the Physical Society of Japan, Vol. 70, No. 3, 03.2001, p. 729-732.

Research output: Contribution to journalArticle

@article{a736bf0b3eb1400a88c71bd071b12569,
title = "Target Patterns in Phase Separation Induced by Cross-Linking",
abstract = "We introduce a quite simple model for a phase-separating binary mixture where one of the components is cross-linked. It is shown by computer simulations that target patterns are generated. We use a Cahn-Hilliard equation with a bulk free energy density which varies as a molecular weight changes with time. Target patterns are obtained in the following way. We first quench the system, having an off-critical composition, into a spinodal region, and find that disconnected droplets emerge in the system. With cross-linking one of the components, the phase diagram of the system shifts to a location where a bicontinuous structure is formed. As a result, target patterns grow from the droplets without any additional nuclei.",
keywords = "Cross-linking, Phase separation, Polymer blend, Target pattern",
author = "Miho Motoyama and Yoshihiro Yamazaki and Takao Ohta",
year = "2001",
month = "3",
doi = "10.1143/JPSJ.70.729",
language = "English",
volume = "70",
pages = "729--732",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "3",

}

TY - JOUR

T1 - Target Patterns in Phase Separation Induced by Cross-Linking

AU - Motoyama, Miho

AU - Yamazaki, Yoshihiro

AU - Ohta, Takao

PY - 2001/3

Y1 - 2001/3

N2 - We introduce a quite simple model for a phase-separating binary mixture where one of the components is cross-linked. It is shown by computer simulations that target patterns are generated. We use a Cahn-Hilliard equation with a bulk free energy density which varies as a molecular weight changes with time. Target patterns are obtained in the following way. We first quench the system, having an off-critical composition, into a spinodal region, and find that disconnected droplets emerge in the system. With cross-linking one of the components, the phase diagram of the system shifts to a location where a bicontinuous structure is formed. As a result, target patterns grow from the droplets without any additional nuclei.

AB - We introduce a quite simple model for a phase-separating binary mixture where one of the components is cross-linked. It is shown by computer simulations that target patterns are generated. We use a Cahn-Hilliard equation with a bulk free energy density which varies as a molecular weight changes with time. Target patterns are obtained in the following way. We first quench the system, having an off-critical composition, into a spinodal region, and find that disconnected droplets emerge in the system. With cross-linking one of the components, the phase diagram of the system shifts to a location where a bicontinuous structure is formed. As a result, target patterns grow from the droplets without any additional nuclei.

KW - Cross-linking

KW - Phase separation

KW - Polymer blend

KW - Target pattern

UR - http://www.scopus.com/inward/record.url?scp=0035587963&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035587963&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.70.729

DO - 10.1143/JPSJ.70.729

M3 - Article

VL - 70

SP - 729

EP - 732

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

ER -