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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.23991 |
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| _version_ | 1866918076399747072 |
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| author | Pinto, F. W. Burby, J. W. |
| author_facet | Pinto, F. W. Burby, J. W. |
| contents | We present a generalization of Dirac constraint theory based on the theory of Poisson-Dirac submanifolds. The theory is formulated in a coordinate-free manner while simultaneously relaxing the invertibility condition as seen in standard Dirac constraint theory. We illustrate the the method with two examples: elimination of the electron number density using Gass' Law and ideal MHD as a slow manifold constraint in the ideal two-fluid model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23991 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Poisson-Dirac Submanifolds as a Paradigm for Imposing Constraints in Non-dissipative Plasma Models Pinto, F. W. Burby, J. W. Mathematical Physics We present a generalization of Dirac constraint theory based on the theory of Poisson-Dirac submanifolds. The theory is formulated in a coordinate-free manner while simultaneously relaxing the invertibility condition as seen in standard Dirac constraint theory. We illustrate the the method with two examples: elimination of the electron number density using Gass' Law and ideal MHD as a slow manifold constraint in the ideal two-fluid model. |
| title | Poisson-Dirac Submanifolds as a Paradigm for Imposing Constraints in Non-dissipative Plasma Models |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2506.23991 |