SOLUTION TO GINZBURG-LANDAU EQUATIONS FOR INHOMOGENEOUS SUPERCONDUCTORS BY NONLINEAR OPTIMIZATION

被引:4
作者
GARNER, J [1 ]
BENEDEK, R [1 ]
机构
[1] ARGONNE NATL LAB,DIV MAT SCI,ARGONNE,IL 60439
来源
PHYSICAL REVIEW B | 1990年 / 42卷 / 10期
关键词
D O I
10.1103/PhysRevB.42.6027
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A modified steepest-descents optimization method is applied to solve the Ginzburg-Landau equations for inhomogeneous superconductors. The method is based on an approximate analytical solution to (fictitious) time-dependent Ginzburg-Landau equations. Calculations are performed of the condensation energy as a function of temperature for a Pb-Sn multilayer system in the absence of a magnetic field and the critical field as a function of temperature for a Nb-Ta multilayer system with parallel magnetic field. Rapid convergence of the residuals is achieved in both cases. Comparison is made with experimental results. These calculations are viewed as a step towards building a capability to study more complex systems, such as the mixed state in a layered material. © 1990 The American Physical Society.
引用
收藏
页码:6027 / 6034
页数:8
相关论文
共 32 条
  • [1] NUMERICAL-SOLUTION OF A CONTINUUM EQUATION FOR INTERFACE GROWTH IN 2+1 DIMENSIONS
    AMAR, JG
    FAMILY, F
    [J]. PHYSICAL REVIEW A, 1990, 41 (06): : 3399 - 3402
  • [2] CRITICAL FIELDS OF NB-TA MULTILAYERS
    BROUSSARD, PR
    GEBALLE, TH
    [J]. PHYSICAL REVIEW B, 1987, 35 (04) : 1664 - 1668
  • [3] LATE STAGES OF SPINODAL DECOMPOSITION IN A 3-DIMENSIONAL MODEL SYSTEM
    CHAKRABARTI, A
    TORAL, R
    GUNTON, JD
    [J]. PHYSICAL REVIEW B, 1989, 39 (07): : 4386 - 4394
  • [4] de Gennes P. G., 1966, SUPERCONDUCTIVITY ME
  • [5] SOLVING THE GINZBURG-LANDAU EQUATIONS BY SIMULATED ANNEALING
    DORIA, MM
    GUBERNATIS, JE
    RAINER, D
    [J]. PHYSICAL REVIEW B, 1990, 41 (10) : 6335 - 6340
  • [6] FULL-POTENTIAL LINEAR AUGMENTED SLATER-TYPE-ORBITAL METHOD
    FERNANDO, GW
    DAVENPORT, JW
    WATSON, RE
    WEINERT, M
    [J]. PHYSICAL REVIEW B, 1989, 40 (05): : 2757 - 2766
  • [7] THERMODYNAMICAL PROPERTIES OF SUPERCONDUCTING CONTACTS
    FULDE, P
    MOORMANN, W
    [J]. PHYSIK DER KONDENSITERTEN MATERIE, 1967, 6 (05): : 403 - +
  • [8] NONLINEAR PATTERN-FORMATION NEAR THE ONSET OF RAYLEIGH-BENARD CONVECTION
    GREENSIDE, HS
    COUGHRAN, WM
    [J]. PHYSICAL REVIEW A, 1984, 30 (01): : 398 - 428
  • [9] ARTIFICIAL METALLIC SUPERLATTICES
    JIN, BY
    KETTERSON, JB
    [J]. ADVANCES IN PHYSICS, 1989, 38 (03) : 189 - 366
  • [10] STRUCTURE OF AN ISOLATED VORTEX IN AN ANISOTROPIC TYPE-II SUPERCONDUCTOR
    KLEMM, RA
    [J]. PHYSICAL REVIEW B, 1990, 41 (01): : 117 - 130