A new magnetic-coupled Cahn-Hilliard phase-field model for diblock copolymers and its numerical approximations

In this paper, we expand the classical phase-field model for diblock copolymers (BCPs) to the magnetic-coupled case, where the free energy of the system is modeled as the combination of the nonlocal Ohta-Kawasaki free energy and the classical Ginzburg-Landau formalism for ferromagnetic ordering. To solve the model, we develop an efficient, second-order time marching scheme by adopting the recently developed stabilized-SAV (Scalar Auxiliary Variable) approach. The energy stability of the scheme is proved and several numerical examples are presented to show that the morphology patterns are strongly influenced by the magnetic field. (C) 2020 Elsevier Ltd. All rights reserved.