메뉴 건너뛰기




Volumn 201, Issue 2, 2004, Pages 511-530

Numerical simulations of the quantized vortices on a thin superconducting hollow sphere

Author keywords

Finite volume methods; Ginzburg Landau model of superconductivity; Quantized vortices; Spherical centroidal Voronoi tessellations

Indexed keywords

SPHERES; VORTEX FLOW;

EID: 8744311511     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.06.009     Document Type: Article
Times cited : (37)

References (42)
  • 1
    • 0036499309 scopus 로고    scopus 로고
    • The bifurcation diagram for the Ginzburg-Landau system for superconductivity
    • A. Aftalion Q. Du The bifurcation diagram for the Ginzburg-Landau system for superconductivity Physica D 163 2001 94-105
    • (2001) Physica D , vol.163 , pp. 94-105
    • Aftalion, A.1    Du, Q.2
  • 2
    • 0036500490 scopus 로고    scopus 로고
    • Dependence of the vortex configuration on the geometry of mezoscopic flat samples
    • B. Baelus F. Peeters Dependence of the vortex configuration on the geometry of mezoscopic flat samples Phys. Rev. B 65 2002 104515
    • (2002) Phys. Rev. B , vol.65 , pp. 104515
    • Baelus, B.1    Peeters, F.2
  • 3
    • 0034899944 scopus 로고    scopus 로고
    • Saddle-point states and energy barriers for vortex entrance and exit in superconducting disks and rings
    • B. Baelus F. Peeters V. Schweigert Saddle-point states and energy barriers for vortex entrance and exit in superconducting disks and rings Phys. Rev. B 63 2001 144517
    • (2001) Phys. Rev. B , vol.63 , pp. 144517
    • Baelus, B.1    Peeters, F.2    Schweigert, V.3
  • 4
    • 0030542350 scopus 로고
    • A variable thickness thin film model for superconductivity
    • S. Chapman Q. Du M. Gunzburger A variable thickness thin film model for superconductivity ZAMP 47 1995 410-431
    • (1995) ZAMP , vol.47 , pp. 410-431
    • Chapman, S.1    Du, Q.2    Gunzburger, M.3
  • 5
    • 8744272051 scopus 로고    scopus 로고
    • A Ginzburg-Landau model for superconducting shells
    • preprint
    • S. Chapman, Q. Du, and M. Gunzburger, A Ginzburg-Landau model for superconducting shells, preprint, 2004
    • (2004)
    • Chapman, S.1    Du, Q.2    Gunzburger, M.3
  • 6
    • 0032299477 scopus 로고    scopus 로고
    • The Motion of superconducting vortices in thin films of varying thickness
    • S. Chapman D. Heron The Motion of superconducting vortices in thin films of varying thickness SIAM J. Appl. Math. 58 1998 1808-1825
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1808-1825
    • Chapman, S.1    Heron, D.2
  • 7
    • 0042410889 scopus 로고    scopus 로고
    • Adaptive Galerkin method with error control for a dynamical Ginzburg-Landau model in superconductivity
    • Z. Chen S. Dai Adaptive Galerkin method with error control for a dynamical Ginzburg-Landau model in superconductivity SIAM J. Numer. Anal. 38 2001 1961-1985
    • (2001) SIAM J. Numer. Anal. , vol.38 , pp. 1961-1985
    • Chen, Z.1    Dai, S.2
  • 8
    • 42749101486 scopus 로고    scopus 로고
    • London model for the levitation force between a horizontally oriented point magnetic dipole and superconducting sphere
    • M. Coffey London model for the levitation force between a horizontally oriented point magnetic dipole and superconducting sphere Phys. Rev. B 65 2002 214524
    • (2002) Phys. Rev. B , vol.65 , pp. 214524
    • Coffey, M.1
  • 9
    • 4243582182 scopus 로고    scopus 로고
    • Hysteresis in mezoscopic superconducting disks: The Bean-Livingston barrier
    • P. Deo V. Schweigert F. Peeters Hysteresis in mezoscopic superconducting disks: The Bean-Livingston barrier Phys. Rev. B 59 1999 6039
    • (1999) Phys. Rev. B , vol.59 , pp. 6039
    • Deo, P.1    Schweigert, V.2    Peeters, F.3
  • 10
    • 0037287678 scopus 로고    scopus 로고
    • Critical magnetic field and asymptotic behavior for superconducting thin films
    • S. Ding Q. Du Critical magnetic field and asymptotic behavior for superconducting thin films SIAM J. Math. Anal. 34 2002 239-256
    • (2002) SIAM J. Math. Anal. , vol.34 , pp. 239-256
    • Ding, S.1    Du, Q.2
  • 11
    • 0001018346 scopus 로고    scopus 로고
    • Vortices in a thin-film superconductor with a spherical geometry
    • M. Dodgson M.A. Moore Vortices in a thin-film superconductor with a spherical geometry Phys. Rev. B 55 1997 3816-3831
    • (1997) Phys. Rev. B , vol.55 , pp. 3816-3831
    • Dodgson, M.1    Moore, M.A.2
  • 14
    • 0032367087 scopus 로고    scopus 로고
    • Discrete gauge invariant approximations of a time-dependent Ginzburg-Landau model of superconductivity
    • Q. Du Discrete gauge invariant approximations of a time-dependent Ginzburg-Landau model of superconductivity Math. Comp. 67 1998 965-986
    • (1998) Math. Comp. , vol.67 , pp. 965-986
    • Du, Q.1
  • 15
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations: Applications and algorithms
    • Q. Du V. Faber M. Gunzburger Centroidal Voronoi tessellations: applications and algorithms SIAM Rev. 41 1999 637-676
    • (1999) SIAM Rev. , vol.41 , pp. 637-676
    • Du, Q.1    Faber, V.2    Gunzburger, M.3
  • 16
    • 0030217132 scopus 로고    scopus 로고
    • High-kappa limit of the time dependent Ginzburg-Landau model for superconductivity
    • Q. Du P. Gray High-kappa limit of the time dependent Ginzburg-Landau model for superconductivity SIAM J. Appl. Math. 56 1996 1060-1093
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 1060-1093
    • Du, Q.1    Gray, P.2
  • 17
    • 0042100528 scopus 로고    scopus 로고
    • Constrained centroidal Voronoi tessellations on general surfaces
    • Q. Du M. Gunzburger L. Ju Constrained centroidal Voronoi tessellations on general surfaces SIAM J. Sci. Comput. 24 2003 1488-1506
    • (2003) SIAM J. Sci. Comput. , vol.24 , pp. 1488-1506
    • Du, Q.1    Gunzburger, M.2    Ju, L.3
  • 18
    • 0042424790 scopus 로고    scopus 로고
    • Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere
    • Q. Du M. Gunzburger L. Ju Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere Comput. Meth. Appl. Mech. Engrg. 192 2003 3933-3957
    • (2003) Comput. Meth. Appl. Mech. Engrg. , vol.192 , pp. 3933-3957
    • Du, Q.1    Gunzburger, M.2    Ju, L.3
  • 19
    • 0026838281 scopus 로고
    • Analysis and approximation of the Ginzburg-Landau model of superconductivity
    • Q. Du M. Gunzburger J. Peterson Analysis and approximation of the Ginzburg-Landau model of superconductivity SIAM Rev. 34 1992 54-81
    • (1992) SIAM Rev. , vol.34 , pp. 54-81
    • Du, Q.1    Gunzburger, M.2    Peterson, J.3
  • 20
    • 35949005560 scopus 로고
    • Computational simulations of type-II superconductivity including pinning mechanisms
    • Q. Du M. Gunzburger J. Peterson Computational simulations of type-II superconductivity including pinning mechanisms Phys. Rev. B 51 1995 16194-16203
    • (1995) Phys. Rev. B , vol.51 , pp. 16194-16203
    • Du, Q.1    Gunzburger, M.2    Peterson, J.3
  • 21
    • 0041599595 scopus 로고    scopus 로고
    • Finite volume methods on spheres and spherical centroidal Voronoi tessellations
    • IMA preprint, No. 1918
    • Q. Du, L. Ju, Finite volume methods on spheres and spherical centroidal Voronoi tessellations, IMA preprint, No. 1918, 2003
    • (2003)
    • Du, Q.1    Ju, L.2
  • 22
    • 85190567292 scopus 로고    scopus 로고
    • Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations
    • in press
    • Q. Du, L. Ju, Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations, Math. Comp., in press
    • Math. Comp.
    • Du, Q.1    Ju, L.2
  • 23
    • 0031512221 scopus 로고    scopus 로고
    • Ginzburg-Landau vortices, dynamics, pinning and hysteresis
    • Q. Du F. Lin Ginzburg-Landau vortices, dynamics, pinning and hysteresis SIAM J. Math. Anal. 28 1999 1265-1293
    • (1999) SIAM J. Math. Anal. , vol.28 , pp. 1265-1293
    • Du, Q.1    Lin, F.2
  • 24
    • 0009898683 scopus 로고    scopus 로고
    • Analysis and convergence of a covolume approximation of the Ginzburg-Landau models of superconductivity
    • Q. Du R. Nicolaides X. Wu Analysis and convergence of a covolume approximation of the Ginzburg-Landau models of superconductivity SIAM J. Numer. Anal. 35 1998 1049-1072
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1049-1072
    • Du, Q.1    Nicolaides, R.2    Wu, X.3
  • 25
    • 43949154992 scopus 로고
    • Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity
    • E W
    • W. E Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity Physica D 77 1994 383-404
    • (1994) Physica D , vol.77 , pp. 383-404
  • 26
    • 0000570933 scopus 로고
    • Temperature dependence of fluxoid quantization in a superconducting hollow cylinder
    • H. Fink V. Grunfeld Temperature dependence of fluxoid quantization in a superconducting hollow cylinder Phys. Rev. B 22 1980 2289
    • (1980) Phys. Rev. B , vol.22 , pp. 2289
    • Fink, H.1    Grunfeld, V.2
  • 30
    • 8744224095 scopus 로고    scopus 로고
    • Music of the spheres
    • B. Ianotta Music of the spheres New Scientist 31 1996 28-31
    • (1996) New Scientist , vol.31 , pp. 28-31
    • Ianotta, B.1
  • 31
    • 0001499786 scopus 로고    scopus 로고
    • Phase transition curves for mesoscopic superconducting samples
    • H. Jadallah J. Rubinstein P. Sternberg Phase transition curves for mesoscopic superconducting samples Phys. Rev. Lett. 82 1999 2935
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 2935
    • Jadallah, H.1    Rubinstein, J.2    Sternberg, P.3
  • 34
    • 0041643922 scopus 로고    scopus 로고
    • A new generation of superconducting gravimeters
    • Brussel, Série Géophysique, Royal Observatory of Belgium
    • B. Richter, R. Warburton, A new generation of superconducting gravimeters, in: Proceedings of the 13th International Symposium on Earth Tides, Brussel, Série Géophysique, Royal Observatory of Belgium, 1998, 545-556
    • (1998) Proceedings of the 13th International Symposium on Earth Tides , pp. 545-556
    • Richter, B.1    Warburton, R.2
  • 35
    • 1842860378 scopus 로고    scopus 로고
    • Flux penetration and expulsion in thin superconducting disks
    • V. Schweigert F. Peeters Flux penetration and expulsion in thin superconducting disks Phys. Rev. Lett. 83 1999 2409-2412
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 2409-2412
    • Schweigert, V.1    Peeters, F.2
  • 36
    • 0032575798 scopus 로고    scopus 로고
    • Vortex phase diagram for mesoscopic superconducting disks
    • V. Schweigert F. Peeters P. Deo Vortex phase diagram for mesoscopic superconducting disks Phys. Rev. Lett. 81 1998 2783-2786
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2783-2786
    • Schweigert, V.1    Peeters, F.2    Deo, P.3
  • 37
    • 0000076606 scopus 로고    scopus 로고
    • Formation of high temperature superconducting balls
    • R. Tao X. Zhang X. Tang P. Anderson Formation of high temperature superconducting balls Phys. Rev. Lett. 83 1999 5575-5578
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 5575-5578
    • Tao, R.1    Zhang, X.2    Tang, X.3    Anderson, P.4
  • 40
    • 0036694654 scopus 로고    scopus 로고
    • Dynamic transitions between metastable states in a superconducting ring
    • D.Y. Vodolazov F.M. Peeters Dynamic transitions between metastable states in a superconducting ring Phys. Rev. B 66 2002 054537
    • (2002) Phys. Rev. B , vol.66 , pp. 054537
    • Vodolazov, D.Y.1    Peeters, F.M.2
  • 42
    • 0039353165 scopus 로고    scopus 로고
    • Non-integer flux quanta for a spherical superconductor
    • J. Yeo M. Moore Non-integer flux quanta for a spherical superconductor Phys. Rev. B 58 1998 10785-10789
    • (1998) Phys. Rev. B , vol.58 , pp. 10785-10789
    • Yeo, J.1    Moore, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.