Influence of diffusion on the resistive tearing mode

D. Dobrott, Stewart C. Prager, J. B. Taylor

Research output: Contribution to journalArticle

30 Scopus citations

Abstract

Although resistive diffusion is much slower than the growth of resistive instabilities, the conventional neglect of diffusion in tearing mode calculations is incorrect. The proper criterion for neglect of diffusion in resistive instability calculations, which is not satisfied for tearing modes, is ω≫υ/δ, where υ is the resistive diffusion velocity and δ is the resistive layer thickness. The effect of diffusion is calculated in the limit of large and small ωδ/υ for the plane slab model, and new expressions for growth rate and stability boundary are obtained. The diffusion appears to have a stabilizing effect.

Original languageEnglish (US)
Pages (from-to)1850-1854
Number of pages5
JournalPhysics of Fluids
Volume20
Issue number11
DOIs
StatePublished - Jan 1 1977
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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