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A simplified model of anisotropic magnetic susceptibility in the Meissner-London vortex-free state of cuboidal superconducting samples is presented. Using this model, precision measurements of the magnetic response in three perpendicular…

Superconductivity · Physics 2024-11-28 Ruslan Prozorov

This paper provides an explicit formula for the approximate solution of the static London equations. These equations describe the currents and magnetic fields in a Type-I superconductor. We represent the magnetic field as a 2-form and the…

Analysis of PDEs · Mathematics 2025-03-12 Charles L. Epstein , Manas Rachh , Yuguan Wang

The influence of the geometry of a thin superconducting sample on the penetration of the magnetic field lines and the arrangement of vortices are investigated theoretically. We compare superconducting disks, squares and triangles with the…

Superconductivity · Physics 2009-11-07 B. J. Baelus , F. M. Peeters

It is shown how the static and dynamic electromagnetic properties can be calculated for thin flat superconducting films of any shape and size, also multiply connected as used for SQUIDs, and for any value of the effective magnetic London…

Superconductivity · Physics 2009-11-11 Ernst Helmut Brandt

We present a microscopic theory for superconductivity in a magnetic field based on a local approximation approach. We derive an expression for free energy density $F$ as a function of temperature $T$ and vector potential {\bf a}, and two…

Superconductivity · Physics 2007-06-19 Zhidong Hao

We consider a simple model for a superlattice composed of a thin magnetic film placed between two bulk superconductors. The magnetic film is modelled by a planar but otherwise arbitrary distribution of magnetic dipoles and the…

Superconductivity · Physics 2009-10-31 Jaime E. Santos , Erwin Frey , Franz Schwabl

We consider the Ginzburg-Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In…

Analysis of PDEs · Mathematics 2017-09-29 Wafaa Assaad , Ayman Kachmar , Mikael Persson-Sundqvist

We investigate the magnetic field distribution in multi-component superconductors. We examine a layered superconductor and a two-component one-layer superconductor. We evaluate the field distribution in the presence of a half-flux quantum…

Superconductivity · Physics 2025-04-17 Takashi Yanagisawa

Shielding sensitive scientific and medical devices from the magnetic field environment is one of the promising applications of superconductors. Magnetic field concentration by superconducting magnetic lenses is the opposite phenomenon…

Computational Physics · Physics 2018-08-01 Leonid Prigozhin , Vladimir Sokolovsky

Exact analytic solutions are presented for the magnetic moment and screening currents in the Meissner state of superconductor strips with rectangular cross section in a perpendicular magnetic field and/or with transport current. The…

Superconductivity · Physics 2009-10-31 Ernst Helmut Brandt , Grigorii P. Mikitik

A simple variational model is proposed to analyze the superconducting state in long cylindrical type-II superconductor placed in the external magnetic field. In the framework of this model, it is possible to solve the Ginzburg-Landau…

Superconductivity · Physics 2009-10-31 W. V. Pogosov , A. L. Rakhmanov , E. A. Shapoval

This paper is concerned with the Laplace boundary-value problem with the directional derivative, corresponding to the specific nature of measurements of the longitudinal component of the photospheric magnetic field. Boundary conditions are…

Astrophysics · Physics 2015-06-24 G. V. Rudenko

Using numerical simulation we have studied a magnetization distribution and a process of magnetization reversal in nanoscale magnets placed above a superconductor plane. In order to consider an influence of superconductor on magnetization…

Superconductivity · Physics 2009-11-10 A. A. Fraerman , I. R. Karetnikova , I. M. Nefedov , I. A. Shereshevskii , M. A. Silaev

Experiment and analytical calculations show that the demagnetizing field of a superconductor is a sensitive probe of quantities otherwise difficult to measure, such as the sample-probe distance in flux-density imaging experiments, and the…

Superconductivity · Physics 2015-06-17 Mathieu Grisolia , Antonio Badia-majos , Cornelis Jacominus Van Der Beek

Superconducting thin-film rings smaller than the film penetration depth (the Pearl length) are considered. The current distribution, magnetic moment, and thermodynamic potential ${\cal F}(H,N,v)$ for a flat, washer-shaped annular ring in a…

Superconductivity · Physics 2016-08-31 V. G. Kogan , John R. Clem , R. G. Mints

The distribution of magnetic induction in Meissner state with finite London penetration depth is analyzed for platelet samples of rectangular cross-section in a perpendicular magnetic field. The exact 2D numerical solution of the London…

Superconductivity · Physics 2009-10-31 R. Prozorov , R. W. Giannetta , A. Carrington , F. M. Araujo-Moreira

Flux-pinning-induced stress and strain distributions in a thin disk superconductor in a perpendicular magnetic field is analyzed. We calculate the body forces, solve the magneto-elastic problem and derive formulas for all stress and strain…

Superconductivity · Physics 2007-05-23 Tom H. Johansen , Daniel V. Shantsev

Analytical models of axially symmetric thin disks of finite extension in presence of magnetic field are presented based on the well-known Morgan-Morgan solutions. The source of the magnetic field is cons\-tructed separating the equation…

Astrophysics of Galaxies · Physics 2016-04-11 Edinson Cardona-Rueda , Gonzalo García-Reyes

Magnetic interaction between a weighing sample and an external magnetic field allows to measure characteristics of magnetic field (a sample with known magnetic characteristics), as well as the magnetic properties of a sample (a known…

On the basis of the mean spherical approximation of multicomponent dipolar hard sphere mixtures an analytical expression is proposed for the magnetic field dependence of the magnetization of size polydisperse ferrofluids. The polydispersity…

Soft Condensed Matter · Physics 2013-07-18 I. Szalai , S. Nagy , S. Dietrich