Dresden 2026 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
MA: Fachverband Magnetismus
MA 7: Poster Magnetism I
MA 7.44: Poster
Monday, March 9, 2026, 09:30–12:30, P2
Overcoming quadratic complexity in time for fast-moving textures in micromagnetics: A moving window approach — •Michael Karl Steinbauer1, 2, 3, Florian Bruckner1, 2, and Claas Abert1, 2 — 1University of Vienna — 2Research Platform MMM — 3Vienna Doctoral School in Physics
From domain walls and skyrmion race track memory to magnon wave guides: A lot of recent interest in the field of magnetism has focused on fast-moving magnetic textures in otherwise homogeneously magnetized media. Micromagnetic modeling of these phenomena presents a significant computational challenge however, as the displacement of the texture typically requires the simulation volume to increase proportional to time t, leading to an overall simulation complexity of O(t2).
We introduce a general-purpose simulation methodology that achieves linear scaling O(t) instead. This is accomplished by employing a moving simulation window that encompasses only a small region around the magnetic feature and is continuously re-centered as the feature moves, leveraging that the magnetization ahead of and behind the feature is often highly uniform. To mitigate finite-size effects, we implement a compensation of surface charges. Furthermore, this approach readily accommodates the introduction of location-dependent material parameters, such as material defects or grain structures. The method was implemented for the python library magnum.np [1], where it was successfully used to reduce computational times of a domain wall simulation from multiple weeks to less than a day.
[1] F. Bruckner et al., Sci. Rep. 13, 12054 (2023).
Keywords: Domain Wall; Skyrmion; Magnon; Race Track; Micromagnetism