The Vlasov equation cannot fully account for collisionless shocks
Plasma Physics
2025-06-03 v1 High Energy Astrophysical Phenomena
Solar and Stellar Astrophysics
Abstract
It is argued that the Vlasov equation cannot fully account for collisionless shocks since it conserves entropy, while a shock does not. A rigorous mathematical theory of collisionless shocks could require working at the Klimontovich level.
Keywords
Cite
@article{arxiv.2506.01548,
title = {The Vlasov equation cannot fully account for collisionless shocks},
author = {Antoine Bret},
journal= {arXiv preprint arXiv:2506.01548},
year = {2025}
}
Comments
6 pages, 1 figure, to appear in Contributions to Plasma Physics