Hamiltonian magnetohydrodynamics: Lagrangian, Eulerian, and dynamically accessible stability – Examples with translation symmetry
Anno: 2016
Autori: Andreussi T., Morrison P.J., Pegoraro F.
Affiliazione autori: SITAEL SpA; Univ Texas Austin; Univ Texas Austin; Dipartimento Fis E Fermi
Abstract: Because different constraints are imposed, stability conditions for dissipationless fluids and magnetofluids may take different forms when derived within the Lagrangian, Eulerian (energy-Casimir), or dynamically accessible frameworks. This is in particular the case when flows are present. These differences are explored explicitly by working out in detail two magnetohydrodynamic examples: convection against gravity in a stratified fluid and translationally invariant perturbations of a rotating magnetized plasma pinch. In this second example, we show in explicit form how to perform the time-dependent relabeling introduced in Andreussi et al. [Phys. Plasmas 20, 092104 (2013)] that makes it possible to reformulate Eulerian equilibria with flows as Lagrangian equilibria in the relabeled variables. The procedures detailed in the present article provide a paradigm that can be applied to more general plasma configurations and in addition extended to more general plasma descriptions where dissipation is absent. Published by AIP Publishing.
Giornale/Rivista: PHYSICS OF PLASMAS
Volume: 23 (10) Da Pagina: A:
Parole chiavi: Hamiltonian plasma dynamicsDOI: 10.1063/1.4964900Citazioni: 13dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-03-23Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui
