Two-stream Instability via Hall Current Density as a Trigger for the 1B-M4 Flare of 5 November 1980

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Scientific paper

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Scientific paper

The event sequence for AR2776 over 5-6 November, 1980, is examined with special attention to the 1B/M4 flare of 5 November (Impulsive phase 22h33m UT), 1980. It is found that the flare trigger is unlikely to have arisen from free magnetic energy storage in kink unstable (critically -twisted) fields or from adequate twist helicity (Tw) injection. It is found that in the day preceding the event, the twist acquired was : Φ = 1.537 or less than what is considered "baseline critical", e.g.: Φ/ 2 π = 1.0.
Further analysis yields evidence for a two -stream instability in the primary loop designated "BC", with a primary role for the Hall electric field and an electric drift velocity (associated with a transverse Hall current density, J(H⊥) exceeding the ion thermal velocity as the trigger agent. (Farley instability). The Hall electric field (E(H)) defined by:
EH = 1/nec [j x B/μo] or J(H⊥) = nec (EH)/ [B/μo]
is typically ignored in solar flare applications. However, a 1972 study was among the first to show a possible role for it in conjunction with the two-stream instability and the triggering of a generic solar flare.
The calculations showed a substantial joule dissipation for assumed but realistic parameters, and also matched that found in this study. The magnitude found was also consonant with that computed for a standard flare "trigger” equation (incorporating foot point motion and joule dissipation) used provided the underlying process is "driven” and not "unloading". The former is such that ∫ (ɛ - D) dt ≈ 0, where the bracketed functions are for energy input (ɛ) and dissipation (D), respectively.

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