Exact moment models for conservation laws in phase space
Plasma Physics
2026-02-16 v1
Abstract
Moment equations offer a compelling alternative to the kinetic description of plasmas, gases, and liquids. Their simulation requires fewer degrees of freedom than phase space models, yet it can still incorporate kinetic effects to a certain extent. To derive moment equations, we use a parameterization of the distribution function using centered moments, as proposed by Burby. This yields moment equations for which the parameterized distribution function exactly solves the hyperbolic conservation law. Similarly, a particle model is derived based on a parametrization of the distribution function using phase space moments. Finally, we present the application of the method to the non-relativistic and relativistic Vlasov--Maxwell equations.
Cite
@article{arxiv.2602.13180,
title = {Exact moment models for conservation laws in phase space},
author = {Tileuzhan Mukhamet and Katharina Kormann},
journal= {arXiv preprint arXiv:2602.13180},
year = {2026}
}