Modeling of Relativistic Plasmas with a Conservative Discontinuous Galerkin Method
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912913508270080 |
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| author | Juno, James Johnson, Grant Philippov, Alexander Hakim, Ammar Chernoglazov, Alexander Zeng, Shuzhe |
| author_facet | Juno, James Johnson, Grant Philippov, Alexander Hakim, Ammar Chernoglazov, Alexander Zeng, Shuzhe |
| contents | We present a new method for solving the relativistic Vlasov--Maxwell system of equations, applicable to a wide range of extreme high-energy-density astrophysical and laboratory environments. The method directly discretizes the kinetic equation on a high-dimensional phase-space grid using a discontinuous Galerkin finite element approach, yielding a high-order, conservative numerical scheme that is free from the Poisson noise inherent to traditional Monte-Carlo methods. A novel and flexible velocity-space mapping technique enables the efficient treatment of the wide range of energy scales characteristic of relativistic plasmas, including QED pair-production discharges, instabilities in strongly magnetized plasmas surrounding neutron stars, and relativistic magnetic reconnection. Our noise-free approach is capable of providing unique insight into plasma dynamics, enabling detailed analysis of electromagnetic emission and fine-scale phase-space structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17487 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Modeling of Relativistic Plasmas with a Conservative Discontinuous Galerkin Method Juno, James Johnson, Grant Philippov, Alexander Hakim, Ammar Chernoglazov, Alexander Zeng, Shuzhe High Energy Astrophysical Phenomena Computational Physics Plasma Physics We present a new method for solving the relativistic Vlasov--Maxwell system of equations, applicable to a wide range of extreme high-energy-density astrophysical and laboratory environments. The method directly discretizes the kinetic equation on a high-dimensional phase-space grid using a discontinuous Galerkin finite element approach, yielding a high-order, conservative numerical scheme that is free from the Poisson noise inherent to traditional Monte-Carlo methods. A novel and flexible velocity-space mapping technique enables the efficient treatment of the wide range of energy scales characteristic of relativistic plasmas, including QED pair-production discharges, instabilities in strongly magnetized plasmas surrounding neutron stars, and relativistic magnetic reconnection. Our noise-free approach is capable of providing unique insight into plasma dynamics, enabling detailed analysis of electromagnetic emission and fine-scale phase-space structure. |
| title | Modeling of Relativistic Plasmas with a Conservative Discontinuous Galerkin Method |
| topic | High Energy Astrophysical Phenomena Computational Physics Plasma Physics |
| url | https://arxiv.org/abs/2602.17487 |