Physics
Scientific paper
Dec 1971
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971phrva...4.2347c&link_type=abstract
Physical Review A, vol. 4, Issue 6, pp. 2347-2353
Physics
27
Scientific paper
The resistive magnetohydrodynamic "tearing" and "gravitational-interchange" instabilities are investigated in the linear incompressible limit in the absence of heating. A periodic model is used for the initial magnetic field. The requirement that the spatial Fourier series of the perturbation must converge uniquely determines the growth rate of the instability. At the most unstable wavelength the tearing mode has a growth rate ωτr=3.4S0.57, where S is the magnetic Reynolds number at the Alfvén velocity and τr is the resistive diffusion time. The interchange mode exhibits behavior, at small wavelengths and large gravitational fields, similar to that of the magnetohydrodynamic Rayleigh-Taylor instability. The resistive mode grows for gravitational fields smaller than the equivalent Suydam threshold for infinite-conductivity instability in a sheared magnetic field. Application of these results to the solar-flare problem is briefly discussed, in the context of the temporal behavior exhibited.
Cross Mark A.
van Hoven Gerard
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