A Novel Method to Construct Stationary Solutions of the Vlasov Maxwell system
Akihiro Suzuki, Toshikazu Shigeyama
TL;DR
This paper introduces a new method for deriving stationary solutions of the Vlasov-Maxwell system using Hermite polynomial expansions, leading to a novel 2D equilibrium relevant for magnetic reconnection studies.
Contribution
The paper presents a novel Hermite polynomial-based approach to construct stationary solutions of the Vlasov-Maxwell system, including a new 2D equilibrium configuration.
Findings
Derived a new 2D equilibrium solution.
Method facilitates initial setups for magnetic reconnection simulations.
Expands analytical tools for collisionless plasma studies.
Abstract
A novel method to derive stationary solutions of the Vlasov-Maxwell system is established. This method is based on the assumption that the deviation of the velocity distribution from the Maxwell-Boltzmann distribution can be expanded by the Hermite polynomials. By applying our method, a new two-dimensional equilibrium is derived, which may provide an initial setup for investigations of three-dimensional collisionless reconnection of magnetic fields.
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.