Discretization anisotropy in micromagnetic simulations
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909428159086592 |
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| author | Holt, Samuel J. R. Petrocchi, Andrea Lang, Martin Pathak, Swapneel A. Fangohr, Hans |
| author_facet | Holt, Samuel J. R. Petrocchi, Andrea Lang, Martin Pathak, Swapneel A. Fangohr, Hans |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10466 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discretization anisotropy in micromagnetic simulations Holt, Samuel J. R. Petrocchi, Andrea Lang, Martin Pathak, Swapneel A. Fangohr, Hans Materials Science Computational Physics 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. |
| title | Discretization anisotropy in micromagnetic simulations |
| topic | Materials Science Computational Physics |
| url | https://arxiv.org/abs/2412.10466 |