Solution landscapes of the diblock copolymer-homopolymer model under

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.

Automated summary

The solution landscapes of confined diblock copolymer and homopolymer in two-dimensional domain were investigated using the extended Ohta-Kawasaki model. A projection saddle dynamics method was developed to compute saddle points with mass conservation and construct the solution landscape. Various stationary solutions were identified and classified, showing relationships between different stable states and symmetry-breaking phenomena in the solution landscapes.