Metodología numérica para resolver ecuaciones del modelo elíptico de un superconductor tipo II anisótropo

Based on the macroscopic description of a type II anisotropic superconducting material, this paper presents numerical methods to model the magnetic induction of these materials in a critical state. In this case, an elliptical model of the critical state is used to describe a type II anisotropic superconductor in terms of parallel geometry. It describes how the mathematical problem is solved in order to find the distribution of magnetic induction in the material. This consists of solving a system of ordinary differential equations. In order to do this, the standard libraries of MATLAB software were used. Two routines were especially used, the first of which gives an initial rough result which is then refined with the second routine. The authors have ample experience in the macroscopic study of the magnetic properties of type II superconductors as well as international publications in this specialized study area.

Vortex Pinning and Dynamics in HTS films: Role of Extended Linear Defects

ABSTRACTThe model of single vortex escape from extended linear defect and subsequent vortex dynamics under the Lorentz force action in a rather thick (d > 2λ) 3D anisotropic superconductor is developed. We consider the case of parallel c-oriented linear defects as well as the case of equidistant linear row of such kind of defects, which represents the dislocation model of low-angle [001] tilt grain boundary in HTS films and bicrystals. The suggested model based on the classical mechanics approach allows to describe behavior of an elastic vortex string in the potential well of linear defect and under the action of Lorentz force on its end within the Meissner current carrying layer and to determine the depinning critical current density at low magnetic fields and temperatures.