Ginzburg-Landau vortices, Coulomb gases, and Abrikosov lattices

Sylvia Serfaty

doi:10.1016/j.crhy.2014.06.001

Ginzburg-Landau vortices, Coulomb gases, and Abrikosov lattices

Sylvia Serfaty

Mathematics

Research output: Contribution to journal › Short survey › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	539-546
Number of pages	8
Journal	Comptes Rendus Physique
Volume	15
Issue number	6
DOIs	https://doi.org/10.1016/j.crhy.2014.06.001
State	Published - Jun 2014

Keywords

Abrikosov lattice
Coulomb gas
Ginzburg-Landau equations
One-component plasma
Superconductivity
Vortices

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.crhy.2014.06.001

Cite this

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title = "Ginzburg-Landau vortices, Coulomb gases, and Abrikosov lattices",

abstract = "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.",

keywords = "Abrikosov lattice, Coulomb gas, Ginzburg-Landau equations, One-component plasma, Superconductivity, Vortices",

author = "Sylvia Serfaty",

year = "2014",

month = jun,

doi = "10.1016/j.crhy.2014.06.001",

language = "English (US)",

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AU - Serfaty, Sylvia

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N2 - 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.

AB - 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.

KW - Abrikosov lattice

KW - Coulomb gas

KW - Ginzburg-Landau equations

KW - One-component plasma

KW - Superconductivity

KW - Vortices

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JO - Comptes Rendus Physique

JF - Comptes Rendus Physique

IS - 6

ER -

Ginzburg-Landau vortices, Coulomb gases, and Abrikosov lattices

Abstract

Keywords

ASJC Scopus subject areas

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