Abstract
The general dispersion relation of the tearing mode with charge separation and pressure gradient effects in the whistler frequency is analytically derived in the framework of electron magnetohydrodynamics (EMHD). It is shown that pressure gradient effect enhances the growth rate, and makes the EMHD tearing mode drift. The growth rate of the EMHD tearing mode is significantly affected by the pressure gradient effect in the large pressure gradient limit. Furthermore, in this limit, the growth rate in the compressible EMHD fluid is much different from that in the incompressible EMHD fluid.
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