SOLUTIONS WITHOUT PHASE-SLIP FOR THE GINSBURG-LANDAU EQUATION

被引:17
作者
COLLET, P [1 ]
ECKMANN, JP [1 ]
机构
[1] UNIV GENEVA,DEPT PHYS THEOR,CH-1211 GENEVA 4,SWITZERLAND
关键词
D O I
10.1007/BF02099141
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the Ginsburg-Landau equation for a complex scalar field in one dimension and consider initial data which have two different stationary solutions as their limits in space as x --> +/- infinity. If these solutions are not very different, then we show that the initial data will evolve to a stationary solution by a "phase melting" process which avoids "phase slips," i.e., which does not go through zero amplitude.
引用
收藏
页码:345 / 356
页数:12
相关论文
共 6 条
[1]  
Collet P., 1990, PRINCETON SERIES PHY
[2]  
COLLET P, IN PRESS HELV PHYS A
[3]  
FABES EB, 1986, ARCH RATION MECH AN, V96, P327
[4]   INTRINSIC RESISTIVE TRANSITION IN NARROW SUPERCONDUCTING CHANNELS [J].
LANGER, JS ;
AMBEGAOKAR, V .
PHYSICAL REVIEW, 1967, 164 (02) :498-+
[6]  
Protter MH., 1984, MAXIMUM PRINCIPLES D, DOI 10.1007/978-1-4612-5282-5