Abstract

The general dispersion relation of collisionless reconnection instability due to electron viscosity μe in the whistler frequency is derived. In the framework of electron magnetohydrodynamics (EMHD), the evolution of magnetic reconnection instability is studied, and the linear growth rates are obtained. The scaling laws of the reconnection instability growth rate with respect to the electron viscosity in constant-ψ (used in the tearing mode) and low-k regimes are obtained, respectively, and compare with those obtained in standard magnetohydrodynamic theory. In the constant-ψ regime for “tearing-mode-like” instability, the growth rate is proportional to μe1∕4, while in the low-k regime, it is proportional to μe1∕8.

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