Stability of a nonlinear magnetic field diffusion wave

V. I. Oreshkin, S. A. Chaikovsky

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The thermal instabilities that develop in a conductor during nonlinear diffusion of a magnetic field were treated in a linear approximation by solving an eigenvalue/eigenfunction problem and an initial value problem. The limiting increment of thermal instabilities has been determined for the principal mode (for the wave number tending to infinity) as γ m ∼ ∂δ/∂T (j max) 2, where ∂δ/∂T is the temperature derivative of resistivity and j max is the maximum current density. It has been shown that as a nonlinear diffusion wave propagates through a conductor, the long-wave modes whose wavelengths are of the order of the conductor thickness are stable and the short-wave modes are localized near the diffusion wave front. As the diffusion wave arrives at the inner surface of the conductor, the instability increments of all modes with any wave number reach maxima.

Original languageEnglish
Article number022706
JournalPhysics of Plasmas
Volume19
Issue number2
DOIs
Publication statusPublished - Feb 2012
Externally publishedYes

Fingerprint

diffusion waves
conductors
thermal instability
magnetic fields
wave fronts
planetary waves
boundary value problems
infinity
eigenvectors
eigenvalues
current density
electrical resistivity
approximation
wavelengths
temperature

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Stability of a nonlinear magnetic field diffusion wave. / Oreshkin, V. I.; Chaikovsky, S. A.

In: Physics of Plasmas, Vol. 19, No. 2, 022706, 02.2012.

Research output: Contribution to journalArticle

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