Resistive relativistic magnetohydrodynamics without Amperes Law
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918179938238464 |
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| author | Lier, Ruben Jain, Akash Armas, Jay Porth, Oliver |
| author_facet | Lier, Ruben Jain, Akash Armas, Jay Porth, Oliver |
| contents | Resistive magnetohydrodynamics is thought to play a key role in transient astrophysical phenomena such as black hole flares and neutron star magnetospheres. When performing numerical simulations of resistive magnetohydrodynamics, one is faced with the issue that Amperes law becomes stiff in the high conductivity limit which poses challenges to the numerical evolution. We show that using a description of resistive magnetohydrodynamics based on higher form symmetry, one can perform simulations with a generalized dual Faraday tensor without having to use Amperes Law, thereby avoiding the stiffness problem. We also explain the relation of this dual model to a traditional description of resistive magnetohydrodynamics and how causality is guaranteed by introducing second order corrections. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_04638 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resistive relativistic magnetohydrodynamics without Amperes Law Lier, Ruben Jain, Akash Armas, Jay Porth, Oliver High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory Resistive magnetohydrodynamics is thought to play a key role in transient astrophysical phenomena such as black hole flares and neutron star magnetospheres. When performing numerical simulations of resistive magnetohydrodynamics, one is faced with the issue that Amperes law becomes stiff in the high conductivity limit which poses challenges to the numerical evolution. We show that using a description of resistive magnetohydrodynamics based on higher form symmetry, one can perform simulations with a generalized dual Faraday tensor without having to use Amperes Law, thereby avoiding the stiffness problem. We also explain the relation of this dual model to a traditional description of resistive magnetohydrodynamics and how causality is guaranteed by introducing second order corrections. |
| title | Resistive relativistic magnetohydrodynamics without Amperes Law |
| topic | High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.04638 |