Dependence of the Anomalous Resistivity on the Induced Electric Field in Solar Flares

Astronomy and Astrophysics – Astronomy

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Acceleration Of Particles, Sun: Flares, Turbulence

Scientific paper

Anomalous resistivity is a critical parameter for triggering the fast magnetic reconnection and interpreting the eruption of solar flares in the nearly collisionless coronal plasma. However, the mechanism for the production of anomalous resistivity and its evolution are weakly understood. In this paper, the one-dimensional Vlasov equation was numerically solved with the typical solar coronal parameters and realistic mass ratio in the presence of strong inductive electric field, and the relationship between the anomalous resistivity and the reconnecting electric field was inferred for the area near the center of reconnecting current sheets. Our principal findings are summarized as follows. (1) The relationship between the anomalous resistivity and the reconnecting electric field E 0 may be represented by ηeff = [10.82-10.99 exp (-0.36 E 0)]Ω m. (2) If E 0 is small enough, it may be described by ηeff = [4.02 E 0 - 0.18]Ω m, which is basically consistent with the early experimental results on the plasma response to the applied electric field. (3) In comparison with theoretical formulas for the current-driven ion-acoustic and Buneman anomalous resistivities, if E 0 is small, the anomalous resistivity may be due to the ion-acoustic instability; if E 0 is large, the anomalous resistivity may be due to the Buneman instability. These results are also basically consistent with early experiments.

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