Nonlinear surface superconductivity in the large κ limit

被引：11

作者：

Almog, Y ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Fac Math, IL-32000 Haifa, Israel

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2004年 / 16卷 / 08期

关键词：

surface superconductivity; Ginzburg-Landau; large kappa limit;

D O I：

10.1142/S0129055X04002205

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Ginzburg-Landau model for superconductivity is considered in two dimensions. We show, for smooth bounded domains, that the superconductivity order parameter decays exponentially fast away from the boundary as the Ginzburg-Landau parameter kappa, tends to infinity. We prove this result for applied magnetic fields satisfying h, - kappamuch greater than log kappa/kappa, and therefore, improve a recent result of Pan [16].

引用

页码：961 / 976

页数：16

共 19 条

[1]

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

[2] On the bifurcation and stability of periodic solutions of the Ginzburg-Landau equations in the plane [J].

Almog, Y .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 61 (01) :149-171

[3] Non-linear surface superconductivity for Type II superconductors in the large-domain limit [J].

Almog, Y .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2002, 165 (04) :271-293

[4] Onset of superconductivity in decreasing fields for general domains [J].

Bernoff, A ;

Sternberg, P .

JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (03) :1272-1284

[5] ASYMPTOTIC ANALYSIS OF THE GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY - REDUCTION TO A FREE-BOUNDARY MODEL [J].

CHAPMAN, SJ .

QUARTERLY OF APPLIED MATHEMATICS, 1995, 53 (04) :601-627

[6]

CHAPMAN SJ, 1994, EUR J APPL MATH, V5, P449

[7] Boundary concentration for eigenvalue problems related to the onset of superconductivity [J].

del Pino, M ;

Felmer, PL ;

Sternberg, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 210 (02) :413-446

[8] DIRECT OBSERVATION OF INDIVIDUAL FLUX LINES IN TYPE 2 SUPERCONDUCTORS [J].

ESSMANN, U ;

TRAUBLE, H .

PHYSICS LETTERS A, 1967, A 24 (10) :526-&

[9]

Ginzburg V. L., 1950, ZH EKSP TEOR FIZ, V20, P1064, DOI DOI 10.1142/S0217979210055378

[10] The breakdown of superconductivity due to strong fields for the Ginzburg-Landau model [J].

Giorgi, T ;

Phillips, D .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1999, 30 (02) :341-359

← 1 2 →