Clebsch representation of relativistic plasma and generalized enstrophy
Mathematical Physics
2022-06-01 v2 math.MP
Fluid Dynamics
Plasma Physics
Abstract
The dynamics of plasma can be formulated as a subalgebra of the Poisson manifold of the Clebsch fields. In this work, we extend this formulation to a Lorentz covariant form. We show that the generalized enstrophy, which means the "charge" of the Clebsch field, is no longer conserved by the relativistic effect, implying that the conservation of circulation is broken. Instead, we formulate a relativistically modified generalized enstrophy that is conserved in the relativistic model.
Keywords
Cite
@article{arxiv.2109.09886,
title = {Clebsch representation of relativistic plasma and generalized enstrophy},
author = {Keiichiro Nunotani and Zensho Yoshida},
journal= {arXiv preprint arXiv:2109.09886},
year = {2022}
}
Comments
12 pages, 2 figures