On tearing modes in a resistive medium

Philip Rosenau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The theory of tearing modes in cylindrical symmetry is reexamined. The resistive medium is characterized by the simplest Ohm's law. By considering β, the ratio of thermal to magnetic pressure, as a parameter with respect to which the sought-after eigenvalues were scaled, a very simple description was obtained. Many of the classical results were obtained in a more simple way. Among the new results are: (1) the possibility of the existence of a tearing mode on a resistive time scale, which is hardly affected by drift effects; and (2) for modes of an almost marginal growth rate inertia does not play an important role, slab and cylindrical modes are fundamentally different, and finite-β effects play a crucial role.

Original languageEnglish
Pages (from-to)2578-2589
Number of pages12
JournalPhysics of Fluids
Volume26
Issue number9
DOIs
StatePublished - 1983
Externally publishedYes

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