journal article·2023-12Open access

A continuum theory for stripe-shaped magnetic domains in thin films

Stephan Wulfinghoff, Christian Dorn

Abstract

Starting from a potential-based kinematical description of continuously distributed stripe-shaped domain walls, a mesoscopic potential is derived through an averaging procedure. The resulting mesoscopic theory is formulated in terms of a few fields with physically meaningful microscopic interpretation. Based on a phenomenological closure-domain extension, a constrained energy minimization principle is introduced. A monolithic finite-element based numerical solution algorithm is proposed. Based on a consistent linearization of the numerical algorithm, quadratic convergence is obtained for the nonlinear solution procedure. A first simple examination of the theory is undertaken by simulating a thin film with spatially and temporally non-constant effective anisotropy. The results are found to be consistent with analytical predictions.
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Research context

OpenAlex topics: Magnetic Properties and Applications · Advanced Mathematical Modeling in Engineering · Electromagnetic Simulation and Numerical Methods

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