Failure of hydrodynamics within the vortex liquid phase

Details Failure of hydrodynamics within the vortex liquid phase Failure of hydrodynamics within the vortex liquid phase

1994-12-15

arxiv.org/abs/cond-mat/9412077v1

Physics

Condensed Matter

12 pages, RevTeX, 1 figure

Scientific paper

10.1103/PhysRevB.51.15359

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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