Herein, a new aspect of the parallel velocity gradient (PVG)- driven instability is explored. We present its linear stability analysis and investigate the transport properties of the instability, focusing on a specific electron motion called hydrodynamic. In the realm of hydrodynamic electrons, electron motions across the magnetic field are much faster than those along the magnetic field. This electron motion plays an important role in fluctuation transport. This analysis reveals that the PVG convective cell is newly excited, and its feature of particle transport is favorable, since the particle pinch by PVG with adiabatic electrons disappears.
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