Vortex Dynamics in Superconductors and Ginzburg–Landau-type Models

2008 ◽  
pp. 339-368
Keyword(s):  
Vortex Dynamics ◽  
Ginzburg Landau

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.

scholarly journals VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION

2014 ◽  
Vol 2 ◽  
Author(s):  
MATTHIAS KURZKE ◽  
DANIEL SPIRN
Keyword(s):  
Vortex Dynamics ◽  
Hydrodynamic Limit ◽  
Convergence Rates ◽  
Landau Equation ◽  
Main Tool ◽  
Neumann Boundary ◽  
Time Dependent ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Large Numbers

AbstractWe establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions. As our main tool, we establish quantitative bounds on several fundamental quantities, including the kinetic energy, that lead to explicit convergence rates. For dilute vortex liquids, we prove that sequences of solutions converge to the hydrodynamic limit.

scholarly journals The Ginzburg-Landau equation III. Vortex dynamics

Nonlinearity ◽  
1998 ◽  
Vol 11 (5) ◽  
pp. 1277-1294 ◽  
Author(s):  
Yu N Ovchinnikov ◽  
I M Sigal
Keyword(s):  
Vortex Dynamics ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation
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