Exact solutions of the Ginzburg-Landau equations

1988 ◽  
Vol 31 (8) ◽  
pp. 663-666
Author(s):  
Yu. A. Stepanyants
Keyword(s):  
Exact Solutions ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations

Exact solutions of generalized Zakharov and Ginzburg–Landau equations

2007 ◽  
Vol 32 (5) ◽  
pp. 1877-1886 ◽  
Author(s):  
Jin-Liang Zhang ◽  
Ming-Liang Wang ◽  
Ke-Quan Gao
Keyword(s):  
Exact Solutions ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations

scholarly journals Exact Solutions for Domain Walls in Coupled Complex Ginzburg–Landau Equations

2011 ◽  
Vol 80 (6) ◽  
pp. 064001 ◽  
Author(s):  
Tat Leung Yee ◽  
Alan Cheng Hou Tsang ◽  
Boris Malomed ◽  
Kwok Wing Chow
Keyword(s):  
Exact Solutions ◽  
Domain Walls ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations

PATTERNS, DEFECTS, AND EVOLUTION OF BÉNARD–MARANGONI CELLS

1996 ◽  
Vol 06 (09) ◽  
pp. 1665-1671 ◽  
Author(s):  
J. BRAGARD ◽  
J. PONTES ◽  
M.G. VELARDE
Keyword(s):  
Fluid Layer ◽  
Ambient Air ◽  
Finite Geometry ◽  
Amplitude Equations ◽  
Ginzburg Landau ◽  
Weakly Nonlinear ◽  
Numerical Exploration ◽  
Ginzburg Landau Equations ◽  
Rigid Plane ◽  
Selection Of

We consider a thin fluid layer of infinite horizontal extent, confined below by a rigid plane and open above to the ambient air, with surface tension linearly depending on the temperature. The fluid is heated from below. First we obtain the weakly nonlinear amplitude equations in specific spatial directions. The procedure yields a set of generalized Ginzburg–Landau equations. Then we proceed to the numerical exploration of the solutions of these equations in finite geometry, hence to the selection of cells as a result of competition between the possible different modes of convection.

Geometric effect on the vortex configuration and motion in mesoscopic superconducting cylinders

2015 ◽  
Vol 29 (03) ◽  
pp. 1550009 ◽  
Author(s):  
Shan-Shan Wang ◽  
Guo-Qiao Zha
Keyword(s):  
Phase Transitions ◽  
Vortex Dynamics ◽  
Axial Symmetry ◽  
Time Dependent ◽  
Vortex Matter ◽  
Ginzburg Landau ◽  
Geometric Effect ◽  
Multiply Connected ◽  
Vortex States ◽  
Ginzburg Landau Equations

Based on the time-dependent Ginzburg–Landau equations, we study numerically the vortex configuration and motion in mesoscopic superconducting cylinders. We find that the effects of the geometric symmetry of the system and the noncircular multiply-connected boundaries can significantly influence the steady vortex states and the vortex matter moving. For the square cylindrical loops, the vortices can enter the superconducting region in multiples of 2 and the vortex configuration exhibits the axial symmetry along the square diagonal. Moreover, the vortex dynamics behavior exhibits more complications due to the existed centered hole, which can lead to the vortex entering from different edges and exiting into the hole at the phase transitions.

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