Solutions for a Nonlinear Singular Magnetic Flux Diffusion Equation

1962 ◽  
Vol 5 (4) ◽  
pp. 487 ◽  
Author(s):  
Norman J. Zabusky
Keyword(s):  
Magnetic Flux ◽  
Diffusion Equation ◽  
Flux Diffusion

An experimental study of magnetic flux diffusion into superconducting tin and indium cylinders

1986 ◽  
Vol 65 (5-6) ◽  
pp. 325-351 ◽  
Author(s):  
K. Aswathy ◽  
G. Rangarajan ◽  
R. Srinivasan ◽  
B. K. Mukherjee
Keyword(s):  
Experimental Study ◽  
Magnetic Flux ◽  
Flux Diffusion

Magnetic flux diffusion in imploding liquid liners

1978 ◽  
Vol 21 (1) ◽  
pp. 34 ◽  
Author(s):  
A. L. Cooper ◽  
D. L. Book
Keyword(s):  
Magnetic Flux ◽  
Flux Diffusion

scholarly journals Magnetic flux diffusion through HTS shields

1998 ◽  
Vol 8 (2) ◽  
pp. 62-68
Author(s):  
A.D. Havenhill ◽  
K.W. Wong ◽  
C.X. Fan
Keyword(s):  
Magnetic Flux ◽  
Flux Diffusion

NONLINEAR FLUX DIFFUSION IN SUPERCONDUCTORS

1995 ◽  
Vol 09 (09) ◽  
pp. 1045-1065 ◽  
Author(s):  
A. GUREVICH
Keyword(s):  
Magnetic Flux ◽  
Nonlinear Diffusion ◽  
Flux Creep ◽  
Flux Dynamics ◽  
Thermally Activated ◽  
Anisotropic Superconductors ◽  
Creep Time ◽  
Activated Flux ◽  
Flux Diffusion ◽  
Transient And Steady State

A review of recent results on nonlinear diffusion of magnetic flux in high-Tc superconductors is given. Making use of a universality of thermally-activated flux diffusion, one can formulate the problem of macroscopic flux dynamics in terms of directly measured quantities. A hierarchy of flux creep time-scales and their dependence on initial and boundary conditions is considered. The essential effect of the sample geometry on the flux creep dynamics is discussed for a thin plate in a parallel and perpendicular magnetic field, which corresponds to local and nonlocal regimes of nonlinear flux diffusion, respectively. Both transient and steady-state regimes of flux creep are discussed. Instabilities of flux diffusion in anisotropic superconductors are considered which are give rise to a dissipative transition of the uniform critical state to either static macrovortex structures or magnetic flux turbulence. Manifestations of nonlinear flux diffusion in observed macroscopic electrodynamics of high-Tc superconductors are discussed.

Disproof of a conjectured inequality arising in the theory of magnetic flux diffusion

1989 ◽  
Vol 30 (12) ◽  
pp. 2947-2950
Author(s):  
David L. Book ◽  
Todd A. Brun
Keyword(s):  
Magnetic Flux ◽  
Flux Diffusion

scholarly journals Pinning and magnetic flux diffusion in APC composites with superconducting filaments

2008 ◽  
Vol 97 ◽  
pp. 012256
Author(s):  
G L Dorofeev ◽  
V M Drobin ◽  
N M Vladimirova ◽  
N I Kozlenkova ◽  
E V Nikulenkov ◽  
...  
Keyword(s):  
Magnetic Flux ◽  
Flux Diffusion

The process of magnetic flux penetration into superconductors

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Taylanov Nizom Abdurazzakovich ◽  
Bekmirzaeva Xursand ◽  
Urozov Abduxolik Nurmamatovich ◽  
Igamqulova Zilola
Keyword(s):  
Magnetic Flux ◽  
Diffusion Equation ◽  
Nonlinear Diffusion ◽  
Flux Line ◽  
Nonlinear Diffusion Equation ◽  
Flux Penetration ◽  
Line Spacing ◽  
Uniform Medium ◽  
Macroscopic Approach ◽  
Creep Regime

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.

Sign in / Sign up

Export Citation Format

Share Document