Hamiltonian magnetohydrodynamics: Lagrangian, Eulerian, and dynamically accessible stability—Examples with translation symmetry

Andreussi, T.; Morrison, P. J.; Pegoraro, F.

doi:10.1063/1.4964900

Title: Hamiltonian magnetohydrodynamics: Lagrangian, Eulerian, and dynamically accessible stability—Examples with translation symmetry

Journal Article · Thu Oct 20 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4964900· OSTI ID:1535285

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SITAEL S.p.A., Pisa (Italy)
Univ. of Texas, Austin, TX (United States). Inst. for Fusion Studies and Dept. of Physics
Dipt. di Fisica E. Fermi, Pisa (Italy)

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 here 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.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-04ER54742; FG02-04ER-54742

OSTI ID:: 1535285

Alternate ID(s):: OSTI ID: 1329491

Journal Information:: Physics of Plasmas, Vol. 23, Issue 10; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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