Cet article présente une analyse des vortex dans le modèle de Ginzburg–Landau : les transitions de phase ainsi que les énergies effectives qui gouvernent les structures optimales formées par les vortex, en particulier le réseau d'Abrikosov, sont discutées. Des analogies avec les gaz de Coulomb sont aussi évoquées.
This is a review of a mathematical analysis of vortices in the Ginzburg–Landau model: phase transitions and effective energies that govern optimal patterns formed by the vortices, in particular the Abrikosov lattice, are discussed. Analogies with Coulomb gases are also mentioned.
Mot clés : Équations de Ginzburg–Landau, Supraconductivité, Vortex, Réseau d'Abrikosov, Gaz de Coulomb, Plasma à un constituant
Sylvia Serfaty 1, 2
@article{CRPHYS_2014__15_6_539_0, author = {Sylvia Serfaty}, title = {Ginzburg{\textendash}Landau vortices, {Coulomb} gases, and {Abrikosov} lattices}, journal = {Comptes Rendus. Physique}, pages = {539--546}, publisher = {Elsevier}, volume = {15}, number = {6}, year = {2014}, doi = {10.1016/j.crhy.2014.06.001}, language = {en}, }
Sylvia Serfaty. Ginzburg–Landau vortices, Coulomb gases, and Abrikosov lattices. Comptes Rendus. Physique, Volume 15 (2014) no. 6, pp. 539-546. doi : 10.1016/j.crhy.2014.06.001. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2014.06.001/
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