VORTEX SOLUTIONS OF THE HIGH-kappa HIGH-FIELD GINZBURG-LANDAU MODEL WITH AN APPLIED CURRENT
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摘要In this paper, we study the single-vortex solutions of a two-dimensional high-kappa high-field Ginzburg-Landau model of superconductivity with a constant applied current. Under a nondegeneracy condition and for appropriate ranges of the applied magnetic field and applied current, we construct some special solutions which, up to a constant shift of phase in time, are the stationary solutions of the model equation. Our result provides partial justification for the existence of a critical applied current which is the one important step towards a rigorous mathematical characterization of the interactions between the quantized vortices and applied electric current.
著者Du QA, Wei JC, Zhao CY
期刊名稱SIAM Journal on Mathematical Analysis
出版年份2010
月份1
日期1
卷號42
期次6
出版社SIAM PUBLICATIONS
頁次2368 - 2401
國際標準期刊號0036-1410
電子國際標準期刊號1095-7154
語言英式英語
關鍵詞critical current; Ginzburg-Landau model; Lorentz force; quantized vortices; steady state vortex solution; superconductivity
Web of Science 學科類別Mathematics; Mathematics, Applied; MATHEMATICS, APPLIED

上次更新時間 2020-25-11 於 00:07