Instability of vortex lines in the presence of axial normal fluid flow
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We show that a normal mode analysis of the complete Hall two-fluid equations in rotating He II yields a critical velocity for axial normal fluid flow which is identical to the critical velocity derived in an earlier paper from the superfluid equation alone. We also present a simplified derivation of the critical velocity based on consideration of the forces acting on an isolated vortex line. The analysis is extended to3He-4He solutions and it is shown that rather small impurity concentrations can greatly increase the critical heat current in axial thermal counterflow.
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