Coulomb gases and Ginzburg-Landau vortices
By: Sylvia Serfaty
Series: Zurich lectures in advanced mathematics; Zurich lectures in advanced mathematics
Publisher: European Mathematical Society
Published: 2015
Place of publication: Zürich, Switzerland
Language: eng
Number of pages: 156
ISBN-13: 9783037191521
Copyright date: 2015
Subjects: Statistical mechanics; Continuum mechanics; Phase transformations (Statistical physics); Superconductivity; Mathematics; Crystallization; Renormalization (Physics)
Notes: Includes bibliographical references (pages 147-156) and index.
Table of contents: title: The leading order behavior of the Coulomb gas; title: Splitting the Hamiltonian; title: Definition(s) and properties of renormalized energy; title: Deriving w as the large n limit: lower bound via a general abstract method; title: Deriving w as the large n limit: screening, upper bound, and consequences; title: The Ginzburg-Landau functional: presentation and heuristics; title: Main mathematical tools for Ginzburg-Landau; title: The leading order behavior for Ginzburg-Landau; title: The splitting and the next order behavior for Ginzburg-Landau.