MACROSCOPIC MODELS FOR SUPERCONDUCTIVITY

被引:145
作者
CHAPMAN, SJ
HOWISON, SD
OCKENDON, JR
机构
关键词
SUPERCONDUCTIVITY; GINZBURG-LANDAU EQUATIONS;
D O I
10.1137/1034114
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper reviews the derivation of some macroscopic models for superconductivity and also some of the mathematical challenges posed by these models. The paper begins by exploring certain analogies between phase changes in superconductors and those in solidification and melting. However, it is soon found that there are severe limitations on the range of validity of these analogies and outside this range many interesting open questions can be posed about the solutions lo the macroscopic models.
引用
收藏
页码:529 / 560
页数:32
相关论文
共 43 条
[11]   NORMAL SUPERCONDUCTING TRANSITIONS IN LANDAU-GINZBURG THEORY [J].
CHAPMAN, SJ ;
HOWISON, SD ;
MCLEOD, JB ;
OCKENDON, JR .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1991, 119 :117-124
[12]  
CHAPMAN SJ, 1990, THESIS OXFORD U
[13]   NUMERICAL-SOLUTION OF AN ALLOY SOLIDIFICATION PROBLEM [J].
CROWLEY, AB ;
OCKENDON, JR .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1979, 22 (06) :941-947
[14]   MODELING MUSHY REGIONS [J].
CROWLEY, AB ;
OCKENDON, JR .
APPLIED SCIENTIFIC RESEARCH, 1987, 44 (1-2) :1-7
[15]  
de Gennes P. G., 1966, SUPERCONDUCTIVITY ME
[16]   ANALYSIS AND APPROXIMATION OF THE GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY [J].
DU, Q ;
GUNZBURGER, MD ;
PETERSON, JS .
SIAM REVIEW, 1992, 34 (01) :54-81
[17]  
DUCHON J, 1984, ANN I H POINCARE-AN, V1, P361
[19]   THE PHASE TRANSITION IN SUPERCONDUCTORS .3. PHASE PROPAGATION BELOW THE CRITICAL FIELD [J].
FABER, TE .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 223 (1153) :174-194
[20]  
FABER TE, 1958, P ROY SOC LOND A MAT, V248, P461