Flux flow in longitudinal geometry

Walmsley, D.G.; Timms, W.E.

doi:10.1088/0305-4608/7/11/018

Cited by 35 publications

(20 citation statements)

References 6 publications

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“…Referring to Fig. 2b, we see that the (20), and (21). The angle difference l~T+i-a+l between the vortices in adjacent pairs of cutting planes is expected to be quite small, such that la~--a+l << 1.…”

Section: Macroscopic Electric Field Generated By Flux-line Cuttingmentioning

confidence: 73%

“…From Eqs. Equations (20) and (21) describe the macroscopic electric field generated by the transport of vortex planes between the dashed and dot-dashed cutting planes shown in Fig. 3.…”

Section: Macroscopic Electric Field Generated By Flux-line Cuttingmentioning

confidence: 99%

“…(17)-(19) we thus obtain the following conditions on Nix and Niy: E~ = (hv/2e)(N~ -N~) = const(20) Ey = (hv/2e)(N~fz -N~) = 0(21)These equations have a very simple interpretation in terms of the Josephson relation 4~ 2eV = hr. Equation(20) states that Ez is just h/2e times the net number of positive y flux quanta transported in the negative x direction (or the net number of negative y flux quanta transported in the positive x direction) per unit length in the z direction per unit time.…”

mentioning

confidence: 98%

“…Equation(20) states that Ez is just h/2e times the net number of positive y flux quanta transported in the negative x direction (or the net number of negative y flux quanta transported in the positive x direction) per unit length in the z direction per unit time. Equation (21) has a similar interpretation but also states that the net transport of positive z flux quanta in the positive x direction is zero.…”

mentioning

confidence: 99%

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Steady-state flux-line cutting in type II superconductors

Clem

1980

J Low Temp Phys

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Flux-line cutting (intersection and cross-joining of adjacent nonparallel vortices) has been suggested as a mechanism for steady-state dissipation in current-carrying, type H superconductors in longitudinal magnetic fields. In this paper a specific theoretical flux-line-cutting model is proposed which generates a constant steady-state electric field in a current-carrying, ideal, type H superconducting slab in a longitudinal field. The assumed model consists of parallel vortex planes at different angles which periodically shuttle back and forth between the regions in whichflux-line cutting occurs. The resulting macroscopic electric current and magnetic flux density distributions are calculated. The model yields a nonlinear voltage-current characteristic and a longitudinal paramagnetic moment.

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Section: Macroscopic Electric Field Generated By Flux-line Cuttingmentioning

confidence: 73%

“…From Eqs. Equations (20) and (21) describe the macroscopic electric field generated by the transport of vortex planes between the dashed and dot-dashed cutting planes shown in Fig. 3.…”

Section: Macroscopic Electric Field Generated By Flux-line Cuttingmentioning

confidence: 99%

mentioning

confidence: 98%

mentioning

confidence: 99%

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Steady-state flux-line cutting in type II superconductors

Clem

1980

J Low Temp Phys

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“…2'3 Flux-flow resistance is observed also in long cylinders carrying a current parallel to an applied axial magnetic field. [4][5][6][7][8][9][10][11][12][13][14][15] In spite of considerable effort, 3'16-24 a satisfactory explanation of flux-flow resistance in longitudinal geometry has not yet been given. Any microscopic mechanism for voltage generation by FLs moving at a velocity v inevitably leads to "force-free 33 configurations" in which the FLs are parallel to the local current density j everywhere.…”

Section: Introductionmentioning

confidence: 99%

Longitudinal critical current in type II superconductors. I. Helical vortex instability in the bulk

Brandt

1981

J Low Temp Phys

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The vortex lattice in type H superconductors is unstable against the growth of helical perturbations if the current along the vortices exceeds a critical value. The longitudinal critical current, the pitch, and the spatially varying amplitude of the elliptically polarized helices are calculated from the London theory at the onset of instability in planar current distributions far from the surface. For weak pinning (atA 2 << C66) the wavelength and width of the mode extend over 1/4 the entire specimen, and the critical current is 2H(c66/c11) . For moderate pinning (c66 << aLA 2 << C11) the wavelength and width are close to Campbell's pinning length (c11/az)1/2, and the critical current times its mean density is 2 ~/2 . • 2 >> .... 2H (aL/C11) . For strong pmnmg (OLLI~ Cll ) hehcal mstabthty occurs at pin-free vortex sections, the helix wavelength is 2.2d, and the critical current density is 0.47Hd/A 2 (H, d, cll and C66 , and aL are the magnetic field, spacing, elastic moduli, and pinning parameter of the vortex lattice, and ~ is the magnetic penetration depth).

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Structure of the Surface Barrier in a Critical State of an Edged Type-II Superconductor

Saif

1986

phys. stat. sol. (a)

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The distribution of the internal magnetic field of an edged type II superconductor is developed. The structure of a surface barrier in the frame of the general critical state model, including flux pinning and flux line (FL) cutting effects, are incorporated in this study. Both the quarter space and the wedge geometries are considered. The dependence of the superheating field on both, applied field angle and self‐field generated by a transport current flowing through the sample is investigated. In the limiting case, a satisfactory agreement with previous results is achieved.

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Flux flow in longitudinal geometry

Cited by 35 publications

References 6 publications

Steady-state flux-line cutting in type II superconductors

Steady-state flux-line cutting in type II superconductors

Longitudinal critical current in type II superconductors. I. Helical vortex instability in the bulk

Structure of the Surface Barrier in a Critical State of an Edged Type-II Superconductor

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