PSI-Vlasov equation
Plasma Physics
2022-06-10 v2
Abstract
A new equation for describing physical systems with radiation is obtained in this paper. Examples of such systems can be found in plasma physics, accelerator physics (synchrotron radiation) and astrophysics (gravitational waves). The new equation is written on the basis of the third Vlasov equation for the probability density distribution function of kinematic quantities: coordinates, velocities and accelerations. The constructed new Vlasov PSI - equation makes it possible to describe naturally dissipation systems instead of phenomenological modifications of the second Vlasov equation, and to construct conservative difference schemes in numerical simulation.
Cite
@article{arxiv.2205.06459,
title = {PSI-Vlasov equation},
author = {E. E. Perepelkin and B. I. Sadovnikov and N. G. Inozemtseva and I. I. Aleksandrov},
journal= {arXiv preprint arXiv:2205.06459},
year = {2022}
}
Comments
13 pages