Stable Phase of Diblock Polymer Using SCFT in Real Space in 2D and 3D

Abhay Kumar Sarothia

Abstract: A numerical method in real-space is developed to solve the polymeric self-consistent field equations. In this report, we apply our method to AB linear diblock copolymer melt, thus reproduce stable phase lamellae which is the simplest ordered phase and have comparable volume fractions of both polymers. We also reproduce cylinder (hexagonal in 2D) phases for noncomparable volume fractions of both the polymers. Also pseudo- spectral method is used which uses Fourier space and has higher accuracy than the central difference differentiation method. The calculation area used in the method to solve stability of phase is a cube in 3D.

Keywords: Diblock copolymer, Self-consistent field equations, lamellae, SCFT