Journal
APPLIED MATHEMATICS LETTERS
Volume 107, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2020.106412
Keywords
Phase-field; Diblock copolymer; Cahn-Hilliard; Magnetic field; Unconditional energy stability
Categories
Funding
- National Natural Science Foundation of China [11901132]
- Science and Technology Program of Guizhou Province [[2020]1Y013]
- National Science Foundation [1720212, 1818783]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1818783, 1720212] Funding Source: National Science Foundation
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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.
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