Poisson-Dirac Submanifolds as a Paradigm for Imposing Constraints in Non-dissipative Plasma Models
Mathematical Physics
2025-07-01 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2506.23991,
title = {Poisson-Dirac Submanifolds as a Paradigm for Imposing Constraints in Non-dissipative Plasma Models},
author = {F. W. Pinto and J. W. Burby},
journal= {arXiv preprint arXiv:2506.23991},
year = {2025}
}