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

• Xu, Zhen

• Han, Yucen

• Yin, Jianyuan

• Yu, Bing

• Nishiura, Yasumasa

• Zhang, Lei

Abstract

We investigate the solution landscapes of the confined diblock copolymer and homopolymer in twodimensional domain by using the extended Ohta-Kawasaki model. The projection saddle dynamics method is developed to compute the saddle points with mass conservation and construct the solution landscape by coupling with downward and upward search algorithms. A variety of 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.

Journal

• Physical Review E

  Physical Review E 104 (1), 014505-, 2021-07-29

  American Physical Society (APS)

Details

• CRID: 1050289455226762112
• NII Article ID: 120007147235
• DOI: 10.1103/physreve.104.014505
• ISSN: 24700053
• ISSN: 24700045
• HANDLE: 2115/82643
• Web Site: https://link.aps.org/article/10.1103/PhysRevE.104.014505
• Web Site: http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.104.014505/fulltext
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN