On the Poisson brackets of hybrid plasma models with kinetic ions and massless electrons
Yingzhe Li, Philip J. Morrison, Stefan Possanner, Eric Sonnendrücker
Abstract
We investigate the conditions under which the Jacobi identity holds for a class of recently introduced anti-symmetric brackets in hybrid plasma models with kinetic ions and massless electrons. In particular, we establish the precise conditions under which the brackets for the vector-potential-based formulations satisfy the Jacobi identity, and demonstrate that these conditions are fulfilled by all physically relevant functionals. Moreover, for the magnetic-field-based formulation, we show that the corresponding anti-symmetric bracket constitutes a Poisson bracket under Gauss's law for magnetism, and we provide a direct proof of the Jacobi identity. These results are further extended to models incorporating electron entropy as well as more general hybrid kinetic-fluid models.
BibTeX
@article{Li_2026,
title={On the Poisson brackets of hybrid plasma models with kinetic ions and massless electrons},
volume={33},
ISSN={1089-7674},
url={http://dx.doi.org/10.1063/5.0332100},
DOI={10.1063/5.0332100},
number={7},
journal={Physics of Plasmas},
publisher={AIP Publishing},
author={Li, Yingzhe and Morrison, Philip J. and Possanner, Stefan and Sonnendrücker, Eric},
year={2026},
month=July }