2D Coulomb gas, Abrikosov lattice and renormalized energy
type: Item
instance of: scholarly article
zbMATH Open document ID: 1307.82029
DOI: 10.1142/9789814449243_0061
author: S. Serfaty
published in: XVIIth International Congress on Mathematical Physics
publication date: 2014-11-11T00:00:00Z
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 81T55
zbMATH DE Number: 6368541
zbMATH Keywords: Coulomb gas
zbMATH Keywords: log gases
zbMATH Keywords: plasma
zbMATH Keywords: Ginzburg-Landau
zbMATH Keywords: superconductivity
zbMATH Keywords: vortices
zbMATH Keywords: Ginibre ensemble
zbMATH Keywords: Abrikosov lattice
zbMATH Keywords: renormalized energy
MaRDI profile type: Publication
full work available at URL: 9789814449243 0061
OpenAlex ID: W2492217879
title: 2D Coulomb gas, Abrikosov lattice and renormalized energy
review text: This review paper deals with some problems related to the study of the Ginzburg-Landau system arising in superconductivity theory. There are given several results describing phenomena in a two-dimensional Coulomb gas that consists of \(n\) particles with logarithmic Coulomb interaction in a confining potential. The results included in this paper include a connection with the Abrikosov lattice and an asymptotic analysis of the partition function. The final part of this paper is concerned with the renormalized energy for random point processes.NEWLINENEWLINEFor the entire collection see [Zbl 1279.00048].
reviewed by: Vicenţiu D. Rădulescu
description: scientific article; zbMATH DE number 6368541