Coulomb Gases and Ginzburg–Landau Vortices

  • Sylvia Serfaty

    Université Pierre et Marie Curie (Paris VI), France
Coulomb Gases and Ginzburg–Landau Vortices cover
Buy from $42.00Download PDF

A subscription is required to access this book.

Frontmatter, AcknowledgementsDownload pp. i–v
ContentsDownload pp. vii–viii
1IntroductionDownload pp. 1–9
2The leading order behavior of the Coulomb gaspp. 11–41
3The next order behavior: splitting the Hamiltonian, first lower boundpp. 43–59
4Definition(s) and properties of renormalized energypp. 61–80
5Deriving W\mathcal{W} as the large n limit: lower bound via a general abstract methodpp. 81–92
6Deriving W\mathcal{W} as the large n limit: screening, upper bound, and consequencespp. 93–106
7The Ginzburg–Landau functional: presentation and heuristicspp. 107–115
8Main mathematical tools for Ginzburg–Landaupp. 117–125
9The leading order behavior for Ginzburg–Landaupp. 127–136
10The splitting and the next order behavior for Ginzburg–Landaupp. 137–146
Bibliographypp. 147–156
Indexp. 157

Supplementary Material