Lie group analysis for multi-scale plasma dynamics
Vladimir F. Kovalev
TL;DR
This paper applies Lie group analysis and averaging methods to multi-scale plasma dynamics, providing invariant solutions for the Vlasov-Maxwell system and demonstrating the approach's effectiveness in plasma kinetic theory.
Contribution
It introduces a novel application of approximate transformation groups combined with averaging techniques to analyze multi-scale plasma systems.
Findings
Invariant solutions for two-component plasma systems
Demonstration of Lie group methods in plasma kinetic theory
Potential for analyzing complex plasma dynamics
Abstract
An application of approximate transformation groups to study dynamics of a system with distinct time scales is discussed. The utilization of the Krylov-Bogoliubov-Mitropolsky method of averaging to find solutions of the Lie equations is considered. Physical illustrations from the plasma kinetic theory demonstrate the potentialities of the suggested approach. Several examples of invariant solutions for the system of the Vlasov-Maxwell equations for the two-component (electron-ion) plasma are presented.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.