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17
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84913951445
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If disorder on the microscopic scale is very weak, as expected if the predominant source of local disorder is oxygen vacancies, these translational correlation lengths can extend over many hundreds, even thousands, of lattice constants. Under these circumstances, large regions of flux lines may appear to be crystalline, disrupted only by widely space “macroscopic” defects like twin or grain boundaries. Macroscopic planar defects of this type are an example of correlated disorder. Theoretical treatments based on microscopic gaussian disorder with only short-range correlations are no longer directly applicable.
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20
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84913908617
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Strictly speaking, a finite orientational correlation length should always arise from higher-order random couplings (e.g. an impurity potential coupling to the bond angle field in the hexatic) neglected in the Larkin-Ovchinnikov analysis [4]. This orientational correlation length can, however, be order of magnitudes larger than the range of translational order, as found in the experiments of ref. [10]. Here we neglect such higher-order random couplings in both the vortex solid and the hexatic.
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24
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0000784780
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Here the role of the vortex velocity field is played by a conserved momentum density. As discussed in the introduction to this reference, the dynamics of systems with nonconserved momentum densities can be treated by adding a Bardeen-Stephen-like frictional force to the equation of motion for the momentum. With this modification, the inertial terms in the equation of motion for the momentum can be neglected and the theory becomes directly applicable to the hydrodynamics of point vortices in two dimensions. For a simple physical argument which relates the viscosity divergence to the density of free dislocations
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(1980)
Phys. Rev.
, vol.22 B
, pp. 2514
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Zippelius1
Halperin2
Nelson3
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26
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0004287161
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R.D. Park, Marcel Dekker, New York, The enhanced pinning properties of twin boundaries for magnetic fields aligned with the twinning planes have been observed experimentally.
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(1969)
Superconductivity
, vol.2
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Kim1
Stephen2
Vinen3
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33
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M.C. Marchetti, Phys. Rev. B, in press.
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35
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0018531485
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x. For instance when vortices cross at an angle of 90 deg in an isotropic superconductor, the crossing costs no energy
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(1979)
J. Low Temp. Phys.
, vol.37
, pp. 43
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Brandt1
Clem2
Walmsley3
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39
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84913891720
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Strictly speaking, one should also allow for a dynamical model in which the position of the vortex core and the sheath of magnetic field surrounding it are allowed to move independently. We neglect the resulting “optical modes” in the hydrodynamical analysis presented here.
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43
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84913932327
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2/m the plasma frequency of the electron gas.
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51
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84913897648
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tE+∇×H=(4π/c)j. A viscous vortex liquid pinned by macroscopic inhomogeneities can be a rather poor conductor. It may then be possible to define a dielectric constant and retain the displacement current which corresponds to an inertial term in the equations for the flow velocity and tangent flux tensor.
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