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Failure of hydrodynamics within the vortex liquid phase

T. Blum·M. A. Moore
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Abstract

The recent discovery that some of the coefficients of the viscosity tensor are negative is shown to invalidate the hydrodynamic approach to the vortex liquid phase of a type-II superconductor. A satisfactory theory requires retention of all the spatial gradients of the velocities or electric fields and not just the first derivatives, as assumed in a hydrodynamic theory. We illustrate such a procedure by using time-dependent Ginzburg-Landau theory to determine the electric field distribution near a single ``twin-plane boundary" due to a current passing through the boundary.

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T. Blum, M. A. Moore. 1994-12-15. Failure of hydrodynamics within the vortex liquid phase. https://doi.org/10.1103/physrevb.51.15359

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