The Pulsar Magnetosphere with Machine Learning: Methodology
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866929209375457280 |
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| author | Dimitropoulos, Ioannis Contopoulos, Ioannis Mpisketzis, Vassilis Chaniadakis, Evangelos |
| author_facet | Dimitropoulos, Ioannis Contopoulos, Ioannis Mpisketzis, Vassilis Chaniadakis, Evangelos |
| contents | In this study, we introduce a novel approach for deriving the solution of the ideal force-free steady-state pulsar magnetosphere in three dimensions. Our method involves partitioning the magnetosphere into the regions of closed and open field lines, and subsequently training two custom Physics Informed Neural Networks (PINNs) to generate the solution within each region. We periodically modify the shape of the boundary separating the two regions (the separatrix) to ensure pressure balance throughout. Our approach provides an effective way to handle mathematical contact discontinuities in Force-Free Electrodynamics (FFE). We present preliminary results in axisymmetry, which underscore the significant potential of our method. Finally, we discuss the challenges and limitations encountered while working with Neural Networks, thus providing valuable insights from our experience. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06842 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Pulsar Magnetosphere with Machine Learning: Methodology Dimitropoulos, Ioannis Contopoulos, Ioannis Mpisketzis, Vassilis Chaniadakis, Evangelos High Energy Astrophysical Phenomena In this study, we introduce a novel approach for deriving the solution of the ideal force-free steady-state pulsar magnetosphere in three dimensions. Our method involves partitioning the magnetosphere into the regions of closed and open field lines, and subsequently training two custom Physics Informed Neural Networks (PINNs) to generate the solution within each region. We periodically modify the shape of the boundary separating the two regions (the separatrix) to ensure pressure balance throughout. Our approach provides an effective way to handle mathematical contact discontinuities in Force-Free Electrodynamics (FFE). We present preliminary results in axisymmetry, which underscore the significant potential of our method. Finally, we discuss the challenges and limitations encountered while working with Neural Networks, thus providing valuable insights from our experience. |
| title | The Pulsar Magnetosphere with Machine Learning: Methodology |
| topic | High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2309.06842 |