scholarly journals Transverse resistivity and Hall effect ofd-wave superconductors with twin boundaries: Numerical solutions of time-dependent Ginzburg-Landau equations in the presence of thermal noise

2002 ◽  
Vol 66 (13) ◽  
Author(s):  
Qunqing Li ◽  
Z. D. Wang
Keyword(s):  
Hall Effect ◽  
Thermal Noise ◽  
Numerical Solutions ◽  
Time Dependent ◽  
Twin Boundaries ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations

scholarly journals Size dependence in flux-flow Hall effect using time-dependent Ginzburg-Landau equations

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Vineet Punyamoorty ◽  
Aditya Malusare ◽  
Shamashis Sengupta ◽  
Sumiran Pujari ◽  
Kasturi Saha
Keyword(s):  
Hall Effect ◽  
Size Dependence ◽  
Time Dependent ◽  
Ginzburg Landau ◽  
Flux Flow ◽  
Ginzburg Landau Equations

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 Milstein-type semi-implicit split-step numerical methods for nonlinear stochastic differential equations with locally Lipschitz drift terms

2019 ◽  
Vol 23 (Suppl. 1) ◽  
pp. 1-12 ◽  
Author(s):  
Burhaneddin Izgi ◽  
Coskun Cetin
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Numerical Solutions ◽  
Rates Of Convergence ◽  
Ginzburg Landau ◽  
Linear Growth Condition ◽  
Locally Lipschitz ◽  
Non Linear ◽  
Ginzburg Landau Equations

We develop Milstein-type versions of semi-implicit split-step methods for numerical solutions of non-linear stochastic differential equations with locally Lipschitz coefficients. Under a one-sided linear growth condition on the drift term, we obtain some moment estimates and discuss convergence properties of these numerical methods. We compare the performance of multiple methods, including the backward Milstein, tamed Milstein, and truncated Milstein procedures on non-linear stochastic differential equations including generalized stochastic Ginzburg-Landau equations. In particular, we discuss their empirical rates of convergence.

Time-dependent Ginzburg-Landau equations for a dirty gapless superconductor

1985 ◽  
Vol 32 (5) ◽  
pp. 2965-2975 ◽  
Author(s):  
Jerome J. Krempasky ◽  
Richard S. Thompson
Keyword(s):  
Time Dependent ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations
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