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

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.

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