A MEAN-FIELD MODEL OF SUPERCONDUCTING VORTICES IN 3 DIMENSIONS

被引：41

作者：

CHAPMAN, SJ

机构：

[1] Univ of Oxford, Oxford

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1995年 / 55卷 / 05期

关键词：

SUPERCONDUCTIVITY; MEAN-FIELD; VORTICES;

D O I：

10.1137/S0036139994263665

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mean-field model for the motion of vortices in a type II superconductor is formulated, drawing on analogies with vortices in an inviscid fluid. The model admits discontinuous solutions, and the conditions on such an interface are derived. Tn a natural limiting case the model is shown to reduce to a novel, vectorial nonlinear diffusion equation. Finally, generalizations of the model to incorporate vortex pinning and fluctuation effects are described.

引用

页码：1259 / 1274

页数：16

共 28 条

[1]

ABRIKOSOV AA, 1957, SOV PHYS JETP-USSR, V5, P1174

[2]

ARONSON DG, 1986, LECT NOTES MATH, V1224, P1

[3] DIRECT EVIDENCE FOR QUANTIZED FLUX THREADS IN TYPE - II SUPERCONDUCTORS [J].