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Simulation of Copolymer Phase Separation in One-Dimensional Thin Liquid Films

Published online by Cambridge University Press:  28 May 2015

Hidenori Yasuda
Hidenori Yasuda*
Affiliation:
Department of Mathematics, Josai University, Sakado, Saitama 350-0295, Japan
*
Corresponding author. Email: yasuda@math.josai.ac.jp
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Abstract

This paper discusses the development of an invariant finite difference scheme to simulate the microphase separation of copolymers in one-dimensional thin liquid films. The film phenomena are modelled using two-phase shallow water equations and the Ohta-Kawasaki potential, which governs the phase separation of the copolymer. Non-positive volume fractions and spurious oscillations are eventually eliminated, in simulating the one-dimensional phase separation lamellar pattern.

Keywords

76A2078M2082B26Phase separationshallow water equationscopolymerlamellar pattern
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 2 , Issue 1 , February 2012 , pp. 33 - 46
Copyright
Copyright © Global-Science Press 2012

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