Year: 2020
Type: article
Abstract: The Hamiltonian formulations for the perturbed Vlasov–Maxwell equations and the perturbed ideal magnetohydrodynamics (MHD) equations are expressed in terms of the perturbation derivative ∂F/∂ϵ≡[F,S] of an arbitrary functional F[ψ] of the Vlasov–Maxwell fields ψ=(f,E,B) or the ideal MHD fields ψ=(ρ,u,s,B), which are assumed to depend continuously on the (dimensionless) perturbation parameter ϵ. Here, [ , ] denotes the functional Poisson bracket for each set of plasma equations and the perturbation action functional S is said to generate dynamically accessible perturbations of the plasma fields. The new Hamiltonian perturbation formulation introduces a framework for functional perturbation methods in plasma physics and highlights the crucial roles played by polarization and magnetization in Vlasov–Maxwell and ideal MHD perturbation theories. One application considered in this paper is a formulation of plasma stability that guarantees dynamical accessibility and leads to a natural generalization to higher-order perturbation theory.
Source: Physics of Plasmas
DOI: 10.1063/5.0028471
Authors: A. J. Brizard, C. Chandre
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1620644989, Implementation of activities described in the Roadmap to Fusion during Horizon 2020 through a Joint programme of the members of the EUROfusion consortium, G2731829129, G2808143221, G6341029978, LIE-TRANSFORM METHODS FOR ADVANCED REDUCED PLASAMA MODELS, G7013037140, Nonlinear Reduced Hamiltonian and Collisional Gyrokinetic Plasma Transport Models, G829439530, G858011915, G8592151819
OpenAlex ID: W3083353266