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Long wavelength limit of the current convective instability. Memorandum report

Technical Report ·
OSTI ID:7009752
The purpose of this paper is to present analytical and numerical results of the linear properties of the current convective instability in the long wavelength regime (kL < 1). The mathematical analysis is similar to that of the long wavelength limit of the E x B instability (from a previous work). The author derives a relatively simple dispersion equation of the mode, and presents simple dispersion relations in both the ion collisional and ion inertial regimes. These analytical results are compared to exact numerical results. The organization of the paper is as follows: (1) the derivation of a differential equation describing the mode; (2) the presentation of both analytical and numerical results; and (3) a summary of findings and a discussion of applications to the auroral ionosphere.
Research Organization:
Naval Research Lab., Washington, DC (USA)
OSTI ID:
7009752
Report Number(s):
AD-A-139172/1; NRL-MR-5264
Country of Publication:
United States
Language:
English