scholarly journals Vortex pinning by cylindrical defects in type-II superconductors: Numerical solutions to the Ginzburg-Landau equations

1996 ◽  
Vol 54 (21) ◽  
pp. 15372-15379 ◽  
Author(s):  
S. M. Maurer ◽  
N. -C. Yeh ◽  
T. A. Tombrello
Keyword(s):  
Numerical Solutions ◽  
Vortex Pinning ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Type Ii Superconductors ◽  
Ginzburg Landau Equations

scholarly journals Time Dependent Ginzburg-Landau Equations for Modeling Vortices Dynamics in Type-II Superconductors with Defects Under A Transport Current

2012 ◽  
Vol 36 ◽  
pp. 1206-1210 ◽  
Author(s):  
K.S. Grishakov ◽  
P.N. Degtyarenko ◽  
N.N. Degtyarenko ◽  
V.F. Elesin ◽  
V.S. Kruglov
Keyword(s):  
Transport Current ◽  
Time Dependent ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Type Ii Superconductors ◽  
Ginzburg Landau Equations

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.

scholarly journals Effect of intensity and size of defect on Ginzburg-Landau free energy for type II superconductors

2020 ◽  
Author(s):  
Dyah Eka Puspitasari ◽  
Nizar Rahmanda Hardiyanto ◽  
Eny Latifah ◽  
Hari Wisodo
Keyword(s):  
Free Energy ◽  
Type Ii ◽  
Ginzburg Landau ◽  
Type Ii Superconductors ◽  
Landau Free Energy
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