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• W2092631168 abstract "It is well known that thermal fluctuations and material impurities affect the motion of vortices in superconductors. These effects are modeled by variants of a time-dependent Ginzburg–Landau model containing either additive or multiplicative noise. Numerical computations are presented that illustrate the effects that noise has on the dynamics of vortex nucleation and vortex motion. For an additive noise model with relatively low variances, it is found that the vortices form a quasi-steady-state lattice in which the vortex core sizes remain roughly fixed but their positions vibrate. Two multiplicative noise models are considered. For one model having relatively long-range order, the sizes of the vortex cores vary in time and from one vortex to another. Finally, for the additive noise case, we show that as the variance of the noise tends to zero, solutions of the stochastic time-dependent Ginzburg–Landau equations converge to solutions of the corresponding equations with no noise." @default.
• W2092631168 created "2016-06-24" @default.
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• W2092631168 date "2002-09-01" @default.
• W2092631168 modified "2023-09-26" @default.
• W2092631168 title "Modeling and Computation of Random Thermal Fluctuations and Material Defects in the Ginzburg–Landau Model for Superconductivity" @default.
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• W2092631168 doi "https://doi.org/10.1006/jcph.2002.7128" @default.
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