In this paper, we prove that magnetic flux-tubes in inflexional configuration are in disequilibrium and evolve to an inflexion-free state. The magnetic field is defined in a tube of circular cross-section and is chosen so as to have toroidal and poloidal components contributing to the internal twist of the flux-tube. By using orthogonal curvilinear coordinates, we derive the equations for the Lorentz force associated with the magnetic flux-tube and use them to study the generic behaviour associated with passage through inflexional configuration. Inflexional state is attained when local curvature vanishes as the tube axis changes concavity. We check that the conditions for the equilibrium of the flux-tube in inflexional configuration are not satisfied and hence we prove disequilibrium. Inflexional disequilibrium makes magnetic flux-tubes evolve to an inflexion-free state. As a consequence, inflexional flux-tubes in free space evolve naturally to an inflexion-free configuration. This mechanism has important implications for the energetics of solar coronal loops and astrophysical flows. © 2005 Published by The Japan Society of Fluid Mechanics and Elsevier B.V. All rights reserved.

Ricca, R. (2005). Inflexional disequilibrium of magnetic flux-tubes. FLUID DYNAMICS RESEARCH, 36(4-6), 319-332 [10.1016/j.fluiddyn.2004.09.004].

Inflexional disequilibrium of magnetic flux-tubes

RICCA, RENZO
2005

Abstract

In this paper, we prove that magnetic flux-tubes in inflexional configuration are in disequilibrium and evolve to an inflexion-free state. The magnetic field is defined in a tube of circular cross-section and is chosen so as to have toroidal and poloidal components contributing to the internal twist of the flux-tube. By using orthogonal curvilinear coordinates, we derive the equations for the Lorentz force associated with the magnetic flux-tube and use them to study the generic behaviour associated with passage through inflexional configuration. Inflexional state is attained when local curvature vanishes as the tube axis changes concavity. We check that the conditions for the equilibrium of the flux-tube in inflexional configuration are not satisfied and hence we prove disequilibrium. Inflexional disequilibrium makes magnetic flux-tubes evolve to an inflexion-free state. As a consequence, inflexional flux-tubes in free space evolve naturally to an inflexion-free configuration. This mechanism has important implications for the energetics of solar coronal loops and astrophysical flows. © 2005 Published by The Japan Society of Fluid Mechanics and Elsevier B.V. All rights reserved.
Articolo in rivista - Articolo scientifico
Fluid Dynamics,magnetic flux-tubes
English
2005
36
4-6
319
332
none
Ricca, R. (2005). Inflexional disequilibrium of magnetic flux-tubes. FLUID DYNAMICS RESEARCH, 36(4-6), 319-332 [10.1016/j.fluiddyn.2004.09.004].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/11506
Citazioni
  • Scopus 67
  • ???jsp.display-item.citation.isi??? 64
Social impact