Modeling and Simulation of Linear Triblock Copolymers under Three-Dimensional Confinement

Modeling and Simulation of Linear Triblock Copolymers under Three-Dimensional Confinement

Year:    2023

Author:    Yuqi Yang, Zhen Xu, Guanghua Ji

CSIAM Transactions on Applied Mathematics, Vol. 4 (2023), Iss. 3 : pp. 592–618

Abstract

We studied linear triblock copolymer and homopolymer mixtures and constructed a new Nakazawa-Ohta-type model to describe the phase separation of the system. For this high-order, nonlocal and multicomponent phase field system, we construct two second-order, linear and energy-stable schemes. We also proved the energy dissipation and mass conservation of the schemes. Finally, numerical simulations were presented in the 3D case, which verified the theoretical analysis. In addition to those reported phase structures, we found some new ones, which can give some guidance to experimenters.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/csiam-am.SO-2022-0036

CSIAM Transactions on Applied Mathematics, Vol. 4 (2023), Iss. 3 : pp. 592–618

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:    Triblock copolymer soft confinement phase separation Nakazawa-Ohta model high efficient energy stable.

Author Details

Yuqi Yang

Zhen Xu

Guanghua Ji