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Volumn 55, Issue 5, 2002, Pages 537-581

Vortex Dynamics of the Full Time-Dependent Ginzburg-Landau Equations

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EID: 0036109603     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.3018     Document Type: Article
Times cited : (29)

References (38)
  • 1
    • 36049058276 scopus 로고
    • Time variation of the Ginzburg-Landau order parameter
    • Abrahams, E.; Tsuneto, T. Time variation of the Ginzburg-Landau order parameter. Phys. Rev. 152 (1966), 416-432.
    • (1966) Phys. Rev. , vol.152 , pp. 416-432
    • Abrahams, E.1    Tsuneto, T.2
  • 4
    • 85012285818 scopus 로고
    • Vortices for a variational problem related to superconductivity
    • Bethuel, F.; Rivière, T. Vortices for a variational problem related to superconductivity. Ann. Inst. H. Poincaré Anal. Non Linéaire 12 (1995), no. 3, 243-303.
    • (1995) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.12 , Issue.3 , pp. 243-303
    • Bethuel, F.1    Rivière, T.2
  • 5
    • 0000320884 scopus 로고
    • Fluctuations of the order parameter in type-II superconductors. I. Dirty limit, II. Pure limit
    • Caroli, C.; Maki, K. Fluctuations of the order parameter in type-II superconductors. I. Dirty limit, II. Pure limit. Phys. Rev. 159 (1967), 306-326.
    • (1967) Phys. Rev. , vol.159 , pp. 306-326
    • Caroli, C.1    Maki, K.2
  • 6
    • 0000428633 scopus 로고
    • Evolution of harmonic maps with Dirichlet boundary conditions
    • Chen, Y. M.; Lin, F.-H. Evolution of harmonic maps with Dirichlet boundary conditions. Comm. Anal. Geom. 1 (1993), no. 3-4, 327-346.
    • (1993) Comm. Anal. Geom. , vol.1 , Issue.3-4 , pp. 327-346
    • Chen, Y.M.1    Lin, F.-H.2
  • 8
    • 0039837098 scopus 로고    scopus 로고
    • The behavior of a Ginzburg-Landau minimizer near its zeroes
    • Comte, M.; Mironescu, P. The behavior of a Ginzburg-Landau minimizer near its zeroes. Calc. Var. Partial Differential Equations 4 (1996), no. 4, 323-340.
    • (1996) Calc. Var. Partial Differential Equations , vol.4 , Issue.4 , pp. 323-340
    • Comte, M.1    Mironescu, P.2
  • 10
    • 3342993798 scopus 로고
    • Experimental evidence for quantized flux in superconducting cylinders
    • Deaver, B. S.; Fairbank, W. M. Experimental evidence for quantized flux in superconducting cylinders. Phys. Rev. Lett. 7 (1961), 51-53.
    • (1961) Phys. Rev. Lett. , vol.7 , pp. 51-53
    • Deaver, B.S.1    Fairbank, W.M.2
  • 11
    • 0002752867 scopus 로고
    • Experimental proof of magnetic flux quantization in a superconducting ring
    • Doll, R.; Näbauer, M. Experimental proof of magnetic flux quantization in a superconducting ring. Phys. Rev. Lett. 7 (1961), 43-46.
    • (1961) Phys. Rev. Lett. , vol.7 , pp. 43-46
    • Doll, R.1    Näbauer, M.2
  • 12
    • 84947888974 scopus 로고
    • Global existence and uniqueness of solutions of the time-dependent Ginzburg-Landau model for superconductivity
    • Du, Q. Global existence and uniqueness of solutions of the time-dependent Ginzburg-Landau model for superconductivity. Appl. Anal. 53 (1994), no. 1-2, 1-17.
    • (1994) Appl. Anal. , vol.53 , Issue.1-2 , pp. 1-17
    • Du, Q.1
  • 13
    • 0030217132 scopus 로고    scopus 로고
    • High-kappa limits of the time-dependent Ginzburg-Landau model
    • Du, Q.; Gray, P. High-kappa limits of the time-dependent Ginzburg-Landau model. SIAM J. Appl. Math. 56 (1996), no. 4, 1060-1093.
    • (1996) SIAM J. Appl. Math. , vol.56 , Issue.4 , pp. 1060-1093
    • Du, Q.1    Gray, P.2
  • 14
    • 43949154992 scopus 로고
    • Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity
    • E. W. Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity. Phys. D 77 (1994), no. 4, 383-404.
    • (1994) Phys. D , vol.77 , Issue.4 , pp. 383-404
  • 15
    • 0032061639 scopus 로고    scopus 로고
    • Dynamics of the Ginzburg-Landau equations of superconductivity
    • Fleckinger-Pellé, J.; Kaper, H.; Takáĉs, P. Dynamics of the Ginzburg-Landau equations of superconductivity. Nonlinear Anal. 32 (1998), no. 5, 647-665.
    • (1998) Nonlinear Anal. , vol.32 , Issue.5 , pp. 647-665
    • Fleckinger-Pellé, J.1    Kaper, H.2    Takáĉs, P.3
  • 17
    • 0000098780 scopus 로고
    • On the theory of superconductivity
    • Ginzburg, V. L.; Landau, L. D. On the theory of superconductivity. JETP Lett. 20 (1950), 1064. Translated in Collected papers of L. D. Landau, Pergamon, New York, 1965.
    • (1950) JETP Lett. , vol.20 , pp. 1064
    • Ginzburg, V.L.1    Landau, L.D.2
  • 18
    • 0003505273 scopus 로고
    • Pergamon, New York
    • Ginzburg, V. L.; Landau, L. D. On the theory of superconductivity. JETP Lett. 20 (1950), 1064. Translated in Collected papers of L. D. Landau, Pergamon, New York, 1965.
    • (1965) Collected Papers of L. D. Landau
  • 19
    • 0000932848 scopus 로고
    • Generalization of the Ginzburg-Landau equations for nonstationary problems in the case of alloys with paramagnetic impurities
    • Gorkov, L.; Eliashburg, G. Generalization of the Ginzburg-Landau equations for nonstationary problems in the case of alloys with paramagnetic impurities. Soviet Phys. JETP 27 (1968), 328-334.
    • (1968) Soviet Phys. JETP , vol.27 , pp. 328-334
    • Gorkov, L.1    Eliashburg, G.2
  • 20
    • 0032371766 scopus 로고    scopus 로고
    • Dynamics of Ginzburg-Landau vortices
    • Jerrard, R. L.; Soner, H. M. Dynamics of Ginzburg-Landau vortices. Arch. Ration. Mech. Anal. 142 (1998), no. 2, 99-125.
    • (1998) Arch. Ration. Mech. Anal. , vol.142 , Issue.2 , pp. 99-125
    • Jerrard, R.L.1    Soner, H.M.2
  • 21
    • 0039165657 scopus 로고    scopus 로고
    • Ginzburg-Landau dynamics with a time-dependent magnetic field
    • Kaper, H.; Takáĉ, P. Ginzburg-Landau dynamics with a time-dependent magnetic field. Nonlinearity 11 (1998), no. 2, 291-305.
    • (1998) Nonlinearity , vol.11 , Issue.2 , pp. 291-305
    • Kaper, H.1    Takáĉ, P.2
  • 22
    • 0039270341 scopus 로고    scopus 로고
    • Some dynamical properties of Ginzburg-Landau vortices
    • Lin, F.-H. Some dynamical properties of Ginzburg-Landau vortices. Comm. Pure Appl. Math. 49 (1996), no. 4, 323-359.
    • (1996) Comm. Pure Appl. Math. , vol.49 , Issue.4 , pp. 323-359
    • Lin, F.-H.1
  • 23
    • 0001993578 scopus 로고    scopus 로고
    • Static and moving vortices in Ginzburg-Landau theories
    • Progress in Nonlinear Differential Equations and Their Applications, Birkhäuser, Basel
    • Lin, F.-H. Static and moving vortices in Ginzburg-Landau theories. Nonlinear partial differential equations in geometry and physics (Knoxville, TN, 1995), 71-111. Progress in Nonlinear Differential Equations and Their Applications, 29. Birkhäuser, Basel, 1997.
    • (1997) Nonlinear Partial Differential Equations in Geometry and Physics (Knoxville, TN, 1995) , vol.29 , pp. 71-111
    • Lin, F.-H.1
  • 24
    • 0032398933 scopus 로고    scopus 로고
    • Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds
    • Lin, F.-H. Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds. Comm. Pure Appl. Math. 51 (1998), no. 4, 385-441.
    • (1998) Comm. Pure Appl. Math. , vol.51 , Issue.4 , pp. 385-441
    • Lin, F.-H.1
  • 25
    • 0031512221 scopus 로고    scopus 로고
    • Ginzburg-Landau vortices: Dynamics, pinning, and hysteresis
    • Lin, F.-H.; Du, Q. Ginzburg-Landau vortices: dynamics, pinning, and hysteresis. SIAM J. Math. Anal. 28 (1997), no. 6, 1265-1293.
    • (1997) SIAM J. Math. Anal. , vol.28 , Issue.6 , pp. 1265-1293
    • Lin, F.-H.1    Du, Q.2
  • 26
    • 0001672624 scopus 로고
    • Direct simulation of the time-dependent Ginzburg-Landau equation for type-II superconducting thin film: Vortex dynamics and V - I characteristics
    • Machida, M.; Kaburaki, H. Direct simulation of the time-dependent Ginzburg-Landau equation for type-II superconducting thin film: vortex dynamics and V - I characteristics. Phys. Rev. Lett. 71 (1993), 3206-3209.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 3206-3209
    • Machida, M.1    Kaburaki, H.2
  • 27
    • 0000093119 scopus 로고
    • Vortices in complex scalar fields
    • Neu, J. Vortices in complex scalar fields. Phys. D 43 (1990), no. 2-3, 385-406.
    • (1990) Phys. D , vol.43 , Issue.2-3 , pp. 385-406
    • Neu, J.1
  • 28
    • 0009892454 scopus 로고
    • Vortex dynamics in U(1) Ginzburg-Landau models
    • Peres, L.; Rubinstein, J. Vortex dynamics in U(1) Ginzburg-Landau models. Phys. D 64 (1993), no. 1-3, 299-309.
    • (1993) Phys. D , vol.64 , Issue.1-3 , pp. 299-309
    • Peres, L.1    Rubinstein, J.2
  • 29
    • 0000469641 scopus 로고    scopus 로고
    • Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field
    • Sandier, E.; Serfaty, S. Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 1, 119-145.
    • (2000) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.17 , Issue.1 , pp. 119-145
    • Sandier, E.1    Serfaty, S.2
  • 30
    • 0242671787 scopus 로고    scopus 로고
    • Local minimizers for the Ginzburg-Landau energy near critical magnetic field. I
    • Serfaty, S. Local minimizers for the Ginzburg-Landau energy near critical magnetic field. I. Commun. Contemp. Math. 1 (1999), no. 2, 213-254.
    • (1999) Commun. Contemp. Math. , vol.1 , Issue.2 , pp. 213-254
    • Serfaty, S.1
  • 31
    • 0037915519 scopus 로고    scopus 로고
    • Local minimizers for the Ginzburg-Landau energy near critical magnetic field. II
    • Serfaty, S. Local minimizers for the Ginzburg-Landau energy near critical magnetic field. II. Commun. Contemp. Math. 1 (1999), no. 3, 295-333.
    • (1999) Commun. Contemp. Math. , vol.1 , Issue.3 , pp. 295-333
    • Serfaty, S.1
  • 32
    • 0033269549 scopus 로고    scopus 로고
    • Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation
    • Serfaty, S. Stable configurations in superconductivity: uniqueness, multiplicity, and vortex-nucleation. Arch. Ration. Mech. Anal. 149 (1999), no. 4, 329-365.
    • (1999) Arch. Ration. Mech. Anal. , vol.149 , Issue.4 , pp. 329-365
    • Serfaty, S.1
  • 33
    • 0004096780 scopus 로고
    • Proceedings of the Centre for Mathematical Analysis, Australian National University, Australian National University, Centre for Mathematical Analysis, Canberra
    • Simon, L. Lectures on geometric measure theory. Proceedings of the Centre for Mathematical Analysis, Australian National University, 3. Australian National University, Centre for Mathematical Analysis, Canberra, 1983.
    • (1983) Lectures on Geometric Measure Theory , vol.3
    • Simon, L.1
  • 34
    • 0141902103 scopus 로고    scopus 로고
    • Vortex motion laws for dynamic Ginzburg-Landau models in two dimensions
    • Spirn, D. Vortex motion laws for dynamic Ginzburg-Landau models in two dimensions. Submitted to SIAM J. Math. Anal.
    • SIAM J. Math. Anal.
    • Spirn, D.1
  • 35
    • 4243764521 scopus 로고
    • Transport equations for superconductors
    • Stephen, M. J. Transport equations for superconductors. Phys. Rev. (2) 139 (1965), A197-A205.
    • (1965) Phys. Rev. (2) , vol.139
    • Stephen, M.J.1
  • 36
    • 84972506267 scopus 로고
    • On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
    • Struwe, M. On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions. Differential Integral Equations 7 (1994), no. 5-6, 1613-1624.
    • (1994) Differential Integral Equations , vol.7 , Issue.5-6 , pp. 1613-1624
    • Struwe, M.1
  • 37
    • 0000218293 scopus 로고
    • Time dependent Ginzburg-Landau equations of superconductivity
    • Tang, Q.; Wang, S. Time dependent Ginzburg-Landau equations of superconductivity. Phys. D 88 (1995), no. 3-4, 139-166.
    • (1995) Phys. D , vol.88 , Issue.3-4 , pp. 139-166
    • Tang, Q.1    Wang, S.2


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