Résumé
The motto of connectivity and superconductivity is that the
solutions of the Ginzburg-Landau equations are
qualitatively influenced by the topology of the boundaries,
as in multiply-connected samples. Special attentions is
paid to the "zero set", the set of positions (usually known
as "quantum vortices") where the order parameter vanishes.
The effects considered here usually become important in the
regime where the coherence length is of the order of the
dimensions of the sample. It takes the intuition of
physicists and the awareness of mathematicians to find
these new effects. In Connectivity and Superconductivity,
theoretical and experimental physicists are brought
together with pure and applied mathematicians to review
these surprising results. This volume is intended to serve
as a reference book for graduate students and researchers
in physics or mathematics interested in superconductivity,
or in the Schrodinger equation as a limiting case of the
Ginzburg-Landau equations.
Table of Contents
- In the Memory of Shlomo Alexander 1
- 1 Topological Considerations in Superconductivity 3
- 2 The de Gennes-Alexander Theory of Superconducting Micronetworks 23
- 3 Nodal Sets, Multiplicity and Superconductivity in Non-simply Connected Domains 63
- 4 Connectivity and Flux Confinement Phenomena in Nanostructured Superconductors 87
- 5 Zero Set of the Order Parameter, Especially in Rings 138
- 6 Persistent Currents in Ginzburg-Landau Models 174
- 7 On the Normal/Superconducting Phase Transition in the Presence of Large Magnetic Fields 188
- 8 On the Numerical Solution of the Time-Dependent Ginzburg-Landau Equations in Multiply Connected Domains 200
- 9 Formation of Vortex-Antivortex Pairs 215
- 10 The Order Parameter as a Macroscopic Quantum Wavefunction 230
- 11 The Ehrenberg-Siday-Aharonov-Bohm effect 239
- 12 Connectivity and Superconductivity in Inhomogeneous Structures 248
L'auteur - Jacob Rubinstein
Jacob Rubinstein : Indiana University
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Jacob Rubinstein, Jorge Berger |
| Parution | 01/03/2001 |
| Nb. de pages | 256 |
| Format | 15,7 x 24 |
| Couverture | Relié |
| Poids | 486g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540679325 |
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