Magnetic response of hard superconductors subjected to parallel rotating magnetic fields

Carballo-Sánchez, A. F.; Pérez-Rodrı́guez, F.; Pérez-González, Antonio

doi:10.1063/1.1400094

Cited by 8 publications

(8 citation statements)

References 32 publications

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“…In order to further improve the agreement with experimental data, Fisher et al developed a two-velocity hydrodynamic model involving two vortex systems moving at different speeds. 12,14 This model, however, is limited to small variations of the tilt angle of the total magnetic field, 25 and, as a result, an elliptic flux-line-cutting critical-state model was developed subsequently. 26,27 In these approaches, the length of the sample is assumed infinite in the direction of both crossed fields, which only arises either for ͑i͒ an infinite slab with crossed magnetic fields parallel to the slab surface or ͑ii͒ an infinite cylinder subjected to both azimuthal and axial fields.…”

Section: Introductionmentioning

confidence: 99%

Behavior of bulk high-temperature superconductors of finite thickness subjected to crossed magnetic fields: Experiment and model

et al. 2007

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Crossed-magnetic-field effects on bulk high-temperature superconductors have been studied both experimentally and numerically. The sample geometry investigated involves finite-size effects along both ͑crossed-͒ magnetic-field directions. The experiments were carried out on bulk melt-processed Y-Ba-Cu-O single domains that had been premagnetized with the applied field parallel to their shortest direction ͑i.e., the c axis͒ and then subjected to several cycles of the application of a transverse magnetic field parallel to the sample ab plane. The magnetic properties were measured using orthogonal pickup coils, a Hall probe placed against the sample surface, and magneto-optical imaging. We show that all principal features of the experimental data can be reproduced qualitatively using a two-dimensional finite-element numerical model based on an E-J power law and in which the current density flows perpendicularly to the plane within which the two components of magnetic field are varied. The results of this study suggest that the suppression of the magnetic moment under the action of a transverse field can be predicted successfully by ignoring the existence of flux-free configurations or flux-cutting effects. These investigations show that the observed decay in magnetization results from the intricate modification of current distribution within the sample cross section. The current amplitude is altered significantly only if a field-dependent critical current density J c ͑B͒ is assumed. Our model is shown to be quite appropriate to describe the cross-flow effects in bulk superconductors. It is also shown that this model does not predict any saturation of the magnetic induction, even after a large number ͑ϳ100͒ of transverse field cycles. These features are shown to be consistent with the experimental data.

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Section: Introductionmentioning

confidence: 99%

Behavior of bulk high-temperature superconductors of finite thickness subjected to crossed magnetic fields: Experiment and model

et al. 2007

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“…A similar explanation is given by the GDCSM. [20][21][22] Besides, one can observe in Fig. 3͑a͒ how magnetic field rotation, which induces the flux-line cutting, lowers the local magnetic flux B͑x͒.…”

Section: Comparison With Experimentsmentioning

confidence: 99%

“…All these features were reproduced by the GDCSM. [20][21][22] For the analysis of ͗B y Ј͘ and − 0 ͗M z Ј͑͒͘, in Fig. 3, we present the evolution of the spatial distributions of B͑x͒ and ␣͑x͒ predicted by the elliptic model.…”

Section: Comparison With Experimentsmentioning

confidence: 99%

“…Thus, at present, the flux-line-cutting phenomenon is an interesting topic of research. 3,5,10,11,[13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] Indeed, there is experimental evidence, related with the crossing energy calculation, which supports that a small number of vortices or adjacent sheets of vortices can cut through each other. [28][29][30][31][32] Recently, Olson Reichhardt and Hastings have proposed an experiment employing a magnetic force microscope to test how easily the vortex lines can cut through each other.…”

Section: Introductionmentioning

confidence: 97%

“…Therefore, the TVHM cannot reproduce the complicated evolution of hysteresis cycles observed in type-II superconductors undergoing oscillations of large amplitude in a static magnetic field. 21 Due to the limitations of the GDCSM and the TVHM, the elliptic flux-line-cutting critical-state model ͑EFLCCSM͒ 3 was introduced. This simple phenomenological model had described quite well the magnetic response of slabs, in parallel geometry, for multicomponent situations, 3,26,27 in comparison with previous models.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Flux-line cutting in rotating type-II superconductors in parallel geometry

Romero-Salazar¹,

Hernández-Flores²

2008

Journal of Applied Physics

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Experimental results of a type-II superconductor, undergoing slow oscillations in a static magnetic field, have been theoretically investigated. The theoretical description considers the occurrence of flux-line cutting since the critical currents have a parallel component to the magnetic induction B. For this purpose, the elliptic flux-line-cutting critical-state model has been employed to calculate the magnitude B and orientation α(x) of the magnetic induction. Hysteresis loops, at different initial magnetic states and, at relatively small and large amplitudes of oscillation, are calculated numerically and compared with experimental data of a Nb disk. The complex behavior of the hysteresis loops is associated with the magnetic induction consumption. Our results are compared with those obtained employing the generalized double critical-state model. Our elliptic model is not restricted by the isotropic condition, that establishes that the electric field E is parallel to the current density J, but considers an induced anisotropy by flux line cutting. The limits of applicability of the elliptic model are discussed.

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An Introduction to Numerical Methods in Superconductors

Campbell

2010

J Supercond Nov Magn

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Magnetic response of hard superconductors subjected to parallel rotating magnetic fields

Cited by 8 publications

References 32 publications

Behavior of bulk high-temperature superconductors of finite thickness subjected to crossed magnetic fields: Experiment and model

Behavior of bulk high-temperature superconductors of finite thickness subjected to crossed magnetic fields: Experiment and model

Flux-line cutting in rotating type-II superconductors in parallel geometry

An Introduction to Numerical Methods in Superconductors

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