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Volume 2, Issue 1
Simulation of Copolymer Phase Separation in One-Dimensional Thin Liquid Films

Hidenori Yasuda

DOI: 10.4208/eajam.050911.240112a

East Asian J. Appl. Math., 2 (2012), pp. 33-46.

Published online: 2018-02

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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

Phase separation, shallow water equations, copolymer, lamellar pattern.

  • AMS Subject Headings

76A20, 78M20, 82B26

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-2-33, author = {Hidenori Yasuda}, title = {Simulation of Copolymer Phase Separation in One-Dimensional Thin Liquid Films}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {2}, number = {1}, pages = {33--46}, 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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.050911.240112a}, url = {http://global-sci.org/intro/article_detail/eajam/10865.html} }
TY - JOUR T1 - Simulation of Copolymer Phase Separation in One-Dimensional Thin Liquid Films AU - Hidenori Yasuda JO - East Asian Journal on Applied Mathematics VL - 1 SP - 33 EP - 46 PY - 2018 DA - 2018/02 SN - 2 DO - http://doi.org/10.4208/eajam.050911.240112a UR - https://global-sci.org/intro/article_detail/eajam/10865.html KW - Phase separation, shallow water equations, copolymer, lamellar pattern. AB -

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.

Hidenori Yasuda. (2018). Simulation of Copolymer Phase Separation in One-Dimensional Thin Liquid Films. East Asian Journal on Applied Mathematics. 2 (1). 33-46. doi:10.4208/eajam.050911.240112a
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