Self-consistent Field Simulation Of Rigid And Flexible Two-block Copolymer On Cylindrical Surface

Self-consistent average field theory has been very mature and perfect.Based on the familiar self-consistent field model of rigid and flexible two-block copolymer in general space,this paper studies the phase behavior of rigid and flexible two-block copolymer on cylindrical surface by means of numerical simulation.In this paper,the diffusion equation of rigid and flexible two-block copolymer self-consistent field model in general space is applied to cylindrical surface and the theory needed for the diffusion equation of cylindrical surface is described.In the process of solving the equation,the quasi-spectral method was used.When solving the rigid and flexible two-block copolymer system,the second-order precision opera-for splitting scheme was used for the time layer discretization,the Fourier transform was used for the space layer and the pointing layer discretization,and finally the saddle point of the equilibrium state was obtained by the steepest descent method.Three phase structures are obtained by numerical simulation:spiral phase,speckle phase and stratiform phase.The direction,period and steady state of the three structures are analyzed,and the influence of some parameters on the phase struc-ture is discussed.