Including sample shape in micromagnetics with 3D periodic boundary conditions
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908950845194240 |
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| author | Durhuus, Frederik Laust Insinga, Andrea Roberto Bjørk, Rasmus |
| author_facet | Durhuus, Frederik Laust Insinga, Andrea Roberto Bjørk, Rasmus |
| contents | Periodic boundary conditions (PBCs) for computing magnetic fields in repeating magnetic structures, e.g. in micromagnetic simulations, are typically imposed using the quasi periodic macrogeometry approach, where many copies of the simulated domain are introduced. This can be computationally problematic, especially if the simulated domain is incommensurate with the desired sample shape. In this work, we present a formal proof that for sufficiently large magnetic samples, only the average magnetisation gives non-negligible shape effects. Using this insight, we develop a simple, computationally efficient modification of existing implementations which incorporates shape effects in PBC methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08777 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Including sample shape in micromagnetics with 3D periodic boundary conditions Durhuus, Frederik Laust Insinga, Andrea Roberto Bjørk, Rasmus Materials Science Computational Physics Periodic boundary conditions (PBCs) for computing magnetic fields in repeating magnetic structures, e.g. in micromagnetic simulations, are typically imposed using the quasi periodic macrogeometry approach, where many copies of the simulated domain are introduced. This can be computationally problematic, especially if the simulated domain is incommensurate with the desired sample shape. In this work, we present a formal proof that for sufficiently large magnetic samples, only the average magnetisation gives non-negligible shape effects. Using this insight, we develop a simple, computationally efficient modification of existing implementations which incorporates shape effects in PBC methods. |
| title | Including sample shape in micromagnetics with 3D periodic boundary conditions |
| topic | Materials Science Computational Physics |
| url | https://arxiv.org/abs/2604.08777 |