Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement

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Xu, Zhen and Han, Yucen and Yin, Jianyuan and Yu, Bing and Nishiura, Yasumasa and Zhang, Lei (2021) Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement. Physical Review E, 104 (1). 014505. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.104.014505)

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Abstract

We investigate the solution landscapes of the confined diblock copolymer and homopolymer in two-dimensional domain by using the extended Ohta--Kawasaki model. The projected saddle dynamics method is developed to compute the saddle points with mass conservation and construct the solution landscape by coupling with downward/upward search algorithms. A variety of novel stationary solutions are identified and classified in the solution landscape, including Flower class, Mosaic class, Core-shell class, and Tai-chi class. The relationships between different stable states are shown by either transition pathways connected by index-1 saddle points or dynamical pathways connected by a high-index saddle point. The solution landscapes also demonstrate the symmetry-breaking phenomena, in which more solutions with high symmetry are found when the domain size increases.

  • Item type:Article
    ID code:77838
    Dates:
    Date
    Event
    29 July 2021
    Published
    8 July 2021
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:21 Sep 2021 10:34
    Last modified:16 Dec 2024 02:28
    URI:https://strathprints.strath.ac.uk/id/eprint/77838
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