The process of magnetic flux penetration into superconductors
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Taylanov Nizom Abdurazzakovich
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Bekmirzaeva Xursand
Abstract
In the present paper the magnetic flux penetration dynamics of type-II superconductors in the flux creep regime is studied by analytically solving the nonlinear diffusion equation for the magnetic flux induction, assuming that an applied field parallel to the surface of the sample and using a power-law dependence of the differential resistivity on the magnetic field induction. An exact solution of nonlinear diffusion equation for the magnetic induction B(r, t) is obtained by using a well-known self-similar technique. We study the problem in the framework of a macroscopic approach, in which all length scales are larger than the flux-line spacing; thus, the superconductor is considered as a uniform medium.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
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Supplementary Material
The online version of this article offers supplementarymaterial (https://doi.org/10.1515/zna-2020-0123).
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Artikel in diesem Heft
- Frontmatter
- General
- Simultaneous demodulation comparison of fiber-optic Fabry–Perot sensors connected in parallel and series
- An intensity modulated fiber-optic carbon monoxide sensor based on Ag/Co-MOF in-situ coated thin-core fiber
- Dynamical Systems & Nonlinear Phenomena
- Periodic and localized structures in dusty plasma with Kaniadakis distribution
- Study of optical guiding of the Hermite–Gaussian laser beam in preformed collisional parabolic plasma channel and second harmonic generation
- Stability analysis of a delayed predator–prey model with nonlinear harvesting efforts using imprecise biological parameters
- Hydrodynamics
- Gas–liquid two-phase flow pattern analysis based on multiscale symbolic transfer entropy
- Numerical treatment of squeezing unsteady nanofluid flow using optimized stochastic algorithm
- Solid State Physics & Materials Science
- Identification of thermo optical parameters in 4l-hexyloxy-4-cyanobyphenyl with dispersed ZnO nano particles
- The process of magnetic flux penetration into superconductors
