English

Discretization anisotropy in micromagnetic simulations

Materials Science 2024-12-17 v1 Computational Physics

Abstract

Finite difference based micromagnetic simulations are a powerful tool for the computational investigation of magnetic structures. In this paper, we demonstrate how the discretization of continuous micromagnetic equations introduces a numerical 'discretization anisotropy'. We demonstrate that, in certain scenarios, this anisotropy operates on an energy scale comparable to that of intrinsic physical phenomena. Furthermore, we illustrate that selecting appropriate finite difference stencils and minimizing the size of the discretization cells are effective strategies to mitigate discretization anisotropy.

Keywords

Cite

@article{arxiv.2412.10466,
  title  = {Discretization anisotropy in micromagnetic simulations},
  author = {Samuel J. R. Holt and Andrea Petrocchi and Martin Lang and Swapneel A. Pathak and Hans Fangohr},
  journal= {arXiv preprint arXiv:2412.10466},
  year   = {2024}
}

Comments

5 pages, 4 figures, Supplementary Material https://gitlab.mpcdf.mpg.de/samholt/paper_discretization_anisotropy_supplementary_material

R2 v1 2026-06-28T20:34:39.775Z