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Volume 4, Issue 3
Modeling and Simulation of Linear Triblock Copolymers under Three-Dimensional Confinement

Yuqi Yang, Zhen Xu & Guanghua Ji

DOI: 10.4208/csiam-am.SO-2022-0036

CSIAM Trans. Appl. Math., 4 (2023), pp. 592-618.

Published online: 2023-04

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65M12, 82B21, 70K75

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CSIAM-AM-4-592, author = {Yang , YuqiXu , Zhen and Ji , Guanghua}, title = {Modeling and Simulation of Linear Triblock Copolymers under Three-Dimensional Confinement}, journal = {CSIAM Transactions on Applied Mathematics}, year = {2023}, volume = {4}, number = {3}, pages = {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.

}, issn = {2708-0579}, doi = {https://doi.org/10.4208/csiam-am.SO-2022-0036}, url = {http://global-sci.org/intro/article_detail/csiam-am/21643.html} }
TY - JOUR T1 - Modeling and Simulation of Linear Triblock Copolymers under Three-Dimensional Confinement AU - Yang , Yuqi AU - Xu , Zhen AU - Ji , Guanghua JO - CSIAM Transactions on Applied Mathematics VL - 3 SP - 592 EP - 618 PY - 2023 DA - 2023/04 SN - 4 DO - http://doi.org/10.4208/csiam-am.SO-2022-0036 UR - https://global-sci.org/intro/article_detail/csiam-am/21643.html KW - Triblock copolymer, soft confinement, phase separation, Nakazawa-Ohta model, high efficient energy stable. AB -

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.

Yang , YuqiXu , Zhen and Ji , Guanghua. (2023). Modeling and Simulation of Linear Triblock Copolymers under Three-Dimensional Confinement. CSIAM Transactions on Applied Mathematics. 4 (3). 592-618. doi:10.4208/csiam-am.SO-2022-0036
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