Self-consistent Field Of Rod-coil Two-block Copolymer On Sphere

In this paper,the self consistent field model of rigid flexible diblock copolymers on the sphere is presented for the first time.The spherical coordinate system is used for the spatial position,the Wigner basis function expansion is used for the solution of the rigid segment propagation sub equation,and the calculation of various deflections is avoided;the spherical harmonic function expansion is used for the solution of the flexible segment propagation sub equation.These numerical methods ensure the accuracy and stability of the calculation.By using a variety of initial field functions(including random initial field functions),three kinds of stable structures,i.e.layered phase,spiral phase and speckle phase,are obtained.Under different physical parameters,various structures have diversity,such as different layers,different directions within layers,different number of spots,different types of spots,etc.Finally,the changes of the structure when changing the ratio of the flexible chain and the repulsion force of the rigid and flexible components are given,and the corresponding phase diagram is given.