NANOlab Center of Excellence literature database -- Query Results

“Vortex states in axially symmetric superconductors in applied magnetic field”. Ludu A, Milošević, MV, Peeters FM, Sn –, 0378-4754 82, 1258 (2012). http://doi.org/10.1016/j.matcom.2012.02.001 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. Keywords: A1 Journal article; Condensed Matter Theory (CMT) Impact Factor: 1.218 Times cited: 1 DOI: 10.1016/j.matcom.2012.02.001 Additional Links: UA library record; WoS full record; WoS citing articles show.php?record=3887
“Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field”. Ludu A, Van Deun J, Milošević, MV, Cuyt A, Peeters FM, Journal of mathematical physics 51, 082903 (2010). http://doi.org/10.1063/1.3470767 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. Keywords: A1 Journal article; Condensed Matter Theory (CMT) Impact Factor: 1.077 Times cited: 10 DOI: 10.1063/1.3470767 Additional Links: UA library record; WoS full record; WoS citing articles show.php?record=106
“Fiber bundle description of flow and nonlinear hydrodynamics on circles”. Ludu A, Journal of nonlinear mathematical physics 15, 157 (2008). http://doi.org/10.2991/jnmp.2008.15.s2.11 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. Keywords: A1 Journal article; Condensed Matter Theory (CMT) Impact Factor: 0.986 Times cited: 1 DOI: 10.2991/jnmp.2008.15.s2.11 Additional Links: UA library record; WoS full record; WoS citing articles show.php?record=1189

“Vortex states in axially symmetric superconductors in applied magnetic field”. Ludu A, Milošević, MV, Peeters FM, Sn –, 0378-4754 82, 1258 (2012). http://doi.org/10.1016/j.matcom.2012.02.001

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.

Keywords: A1 Journal article; Condensed Matter Theory (CMT)

Impact Factor: 1.218

Times cited: 1

DOI: 10.1016/j.matcom.2012.02.001

Additional Links: UA library record; WoS full record; WoS citing articles

show.php?record=3887

“Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field”. Ludu A, Van Deun J, Milošević, MV, Cuyt A, Peeters FM, Journal of mathematical physics 51, 082903 (2010). http://doi.org/10.1063/1.3470767

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.

Keywords: A1 Journal article; Condensed Matter Theory (CMT)

Impact Factor: 1.077

Times cited: 10

DOI: 10.1063/1.3470767

Additional Links: UA library record; WoS full record; WoS citing articles

show.php?record=106

“Fiber bundle description of flow and nonlinear hydrodynamics on circles”. Ludu A, Journal of nonlinear mathematical physics 15, 157 (2008). http://doi.org/10.2991/jnmp.2008.15.s2.11

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.

Keywords: A1 Journal article; Condensed Matter Theory (CMT)

Impact Factor: 0.986

Times cited: 1

DOI: 10.2991/jnmp.2008.15.s2.11

Additional Links: UA library record; WoS full record; WoS citing articles

show.php?record=1189