https://doi.org/10.1140/epjd/e2009-00294-2
A lower bound on Hartmann number for relaxed plasmas described by Taylor's principle
Golden Garland Intl., Via Marloni 163 70054 Giovinazzo (BA), Italy
Corresponding author: anna_andrea.divita@tin.it
Received:
5
May
2009
Published online:
24
November
2009
A lower bound on Hartmann number for relaxed plasmas described by Taylor's principle of minimum magnetic energy with fixed magnetic helicity is found analytically starting from first principles. Spontaneous filamentation occurs if the Hartmann number is below threshold. Comparison with both experiments and numerical computations is presented.
PACS: 52.25.Kn – Thermodynamics of plasmas / 52.35.Ra – Plasma turbulence / 52.55.Hc – Stellarators, torsatrons, heliacs, bumpy tori, and other toroidal confinement devices / 52.58.Lq – Z-pinches, plasma focus, and other pinch devices
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009
