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Author |
Ludu, A.; Milošević, M.V.; Peeters, F.M. |
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Title |
Vortex states in axially symmetric superconductors in applied magnetic field |
Type |
A1 Journal article |
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Year  |
2012 |
Publication |
Sn – 0378-4754 |
Abbreviated Journal |
Math Comput Simulat |
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Volume |
82 |
Issue |
7 |
Pages |
1258-1270 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
We solve analytically the linearized Ginzburg-Landau (GL) equation in the presence of an uniform magnetic field with cylindrical boundary conditions. The solution of the non-linear GL equation is provided as an expansion in the basis of linearized solutions. We present examples of the resulting vortex structure for a solid and perforated superconducting cylinder. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved. |
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Place of Publication |
Amsterdam |
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Wos |
000303097000009 |
Publication Date |
2012-02-11 |
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Series Issue |
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Edition |
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ISSN |
0378-4754; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.218 |
Times cited |
1 |
Open Access |
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Notes |
; ; |
Approved |
Most recent IF: 1.218; 2012 IF: 0.836 |
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Call Number |
UA @ lucian @ c:irua:98300 |
Serial |
3887 |
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Author |
Ludu, A.; Van Deun, J.; Milošević, M.V.; Cuyt, A.; Peeters, F.M. |
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Title |
Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field |
Type |
A1 Journal article |
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Year |
2010 |
Publication |
Journal of mathematical physics |
Abbreviated Journal |
J Math Phys |
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Volume |
51 |
Issue |
8 |
Pages |
082903,1-082903,29 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
We solve the linear GinzburgLandau (GL) equation in the presence of a uniform magnetic field with cylindrical symmetry and we find analytic expressions for the eigenfunctions in terms of the confluent hypergeometric functions. The discrete spectrum results from an implicit equation associated to the boundary conditions and it is resolved in analytic form using the continued fractions formalism. We study the dependence of the spectrum and the eigenfunctions on the sample size and the surface conditions for solid and hollow cylindrical superconductors. Finally, the solutions of the nonlinear GL formalism are constructed as expansions in the linear GL eigenfunction basis and selected by minimization of the free energy. We present examples of vortex states and their energies for different samples in enhancing/suppressing superconductivity surroundings. |
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Place of Publication |
New York, N.Y. |
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Wos |
000281905000026 |
Publication Date |
2010-08-23 |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0022-2488; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.077 |
Times cited |
10 |
Open Access |
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Notes |
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Approved |
Most recent IF: 1.077; 2010 IF: 1.291 |
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Call Number |
UA @ lucian @ c:irua:84880 |
Serial |
106 |
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Author |
Ludu, A. |
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Title |
Fiber bundle description of flow and nonlinear hydrodynamics on circles |
Type |
A1 Journal article |
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Year |
2008 |
Publication |
Journal of nonlinear mathematical physics |
Abbreviated Journal |
J Nonlinear Math Phy |
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Volume |
15 |
Issue |
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Pages |
157-170 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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Abstract |
We introduce a differential geometry description of the path lines, stream lines and particles contours in hydrodynamics. We present a generalized form of a Korteweg-de Vries type of equation for the exterior of a circle. Nonlinearities from the boundary conditions, surface tension and the Euler equations are taken into account, but the flow is considered inviscid and irrotational. For the circular case we describe the traveling waves shapes, solitons and the particles trajectories. |
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Wos |
000263517200012 |
Publication Date |
2008-09-05 |
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Abbreviated Series Title |
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Series Issue |
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Edition |
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ISSN |
1402-9251;1776-0852; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
0.986 |
Times cited |
1 |
Open Access |
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Notes |
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Approved |
Most recent IF: 0.986; 2008 IF: 0.760 |
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Call Number |
UA @ lucian @ c:irua:94603 |
Serial |
1189 |
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