What is it about?
In order to derive reduced models without artificial dissipation, we often look to place constraints such that the reduced system inherits an ideal structure. The need for such techniques arises across physics (e.g Gauge field theories, fluid dynamics, and plasma physics). Using the theory of Poisson-Dirac submanifolds, we construct a generalisation of Dirac constraint theory and illustrate the method with two examples.
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Why is it important?
This theory generalises the Dirac constraint theory, allowing for a larger class of constraints than previously understood. Moreover, the theory is presented in a coordinate free, dimension independent manner, allowing for applications to infinite dimensional systems.
Perspectives
Although somewhat technical, I hope that this article gives readers insight into the potential utility of applying geometric techniques to problems in plasma physics.
Finneas Pinto
University of Texas at Austin
Read the Original
This page is a summary of: Poisson–Dirac submanifolds as a paradigm for imposing constraints in non-dissipative plasma models, Physics of Plasmas, July 2025, American Institute of Physics,
DOI: 10.1063/5.0273582.
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