Numerical simulations of the quantized vortices on a thin superconducting hollow sphere

Probability and Statistics in Complex Systems

Recent progress in both diagnostic and therapeutic technique of hepatocellular carcinoma appears to improve the prognosis. The purpose of this study was designed to evaluate the prognosis of HCC in relation to treatment methods and their affecting factors by the treestructured model. This paper attempt to identify and quantify the effect of prognostic factors namely, patient characteristics tha...

Large-scale Numerical Simulations for Superconducting Neutron Detector using MgB2 and Half Quantized Vortices in d-dot Array Group Representative

Three-dimensional calculations of the magnetic fields in a finite superconducting hollow cylinder in an applied axial magnetic field

In this study, a set of self-consistent coupled-integral equations for the local magnetic flux and current distributions in a finite superconducting hollow cylinder under an axial magnetic field has been directly derived by using the Biot-Savart law within the framework of the critical-state model. The equations were first solved numerically in the three-dimensional space before obtaining the h...

Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations

In this paper the numerical approximations of the GinzburgLandau model for a superconducting hollow spheres are constructed using a gauge invariant discretization on spherical centroidal Voronoi tessellations. A reduced model equation is used on the surface of the sphere which is valid in the thin spherical shell limit. We present the numerical algorithms and their theoretical convergence as we...

Non-integer flux quanta for a spherical superconductor

A thin film superconductor shaped into a spherical shell at whose center lies the end of long thin solenoid in which there is an integer flux NΦ0 has been previously extensively studied numerically as a model of a two-dimensional superconductor. The emergent flux from the solenoid produces a radial Bfield at the superconducting shell and N vortices in the superconducting film. We study here the...