Fast Collisionless Reconnection Condition and Self-Organization of Solar Coronal Heating

TL;DR

This paper proposes a self-regulating mechanism for solar coronal heating, where plasma density controls the transition between slow and fast magnetic reconnection, leading to intermittent heating cycles consistent with observations.

Contribution

It introduces a simple criterion for the collisionless reconnection transition based on plasma parameters and explains the self-organized heating cycles in the solar corona.

Findings

Coronal heating is driven by cycles of fast reconnection and evaporation.

The transition criterion depends on magnetic fields, density, and layer length.

Density remains near a critical value, explaining observed coronal densities.

Abstract

I propose that solar coronal heating is a self-regulating process that keeps the coronal plasma roughly marginally collisionless. The self-regulating mechanism is based on the interplay of two effects. First, plasma density controls coronal energy release via the transition between the slow collisional Sweet-Parker regime and the fast collisionless reconnection regime. This transition takes place when the Sweet--Parker layer becomes thinner than the characteristic collisionless reconnection scale. I present a simple criterion for this transition in terms of the upstream plasma density (n_e), the reconnecting (B_0) and guide (B_z) magnetic field components, and the global length (L) of the reconnection layer: L < 6.10^9 cm [n_e/(10^{10}/cm^3)]^(-3) (B_0/30G)^4 (B_0/B_z)^2. Next, coronal energy release by reconnection raises the ambient plasma density via chromospheric evaporation and this, in turn, temporarily inhibits subsequent reconnection involving the newly-reconnected loops. Over time, however, radiative cooling gradually lowers the density again below the critical value and fast reconnection again becomes possible. As a result, the density is highly inhomogeneous and intermittent but, statistically, does not deviate strongly from the critical value which is comparable with the observed coronal density. Thus, in the long run, the coronal heating process can be represented by repeating cycles that consist of fast reconnection events (i.e., nanoflares), followed by rapid evaporation episodes, followed by relatively long periods (1-hour) during which magnetic stresses build up and simultaneously the plasma cools down and precipitates.