Solution landscapes of the diblock copolymer-homopolymer model under confinemen
发布时间：2021年11月01日
浏览次数：3842
发布者: Yu Feng
主讲人： 徐真
活动时间： 从 2021-11-05 10:00 到 11:30
场地： Room 29, Quan Zhai, BICMR
We investigate the solution landscapes of the confined diblock copolymer and homopolymer in two-dimensional 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 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.
Finally, we show some solution landscapes of the confined diblock copolymer and homopolymer in three-dimensional domain.
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 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.
Finally, we show some solution landscapes of the confined diblock copolymer and homopolymer in three-dimensional domain.
