Continuous phase transitions in mesoscopic systems

Authors
Berger, J Rubinstein, J
Citation
J. Berger et J. Rubinstein, Continuous phase transitions in mesoscopic systems, Z ANG MATH, 52(2), 2001, pp. 347-355
Citations number
12
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
52
Issue
2
Year of publication
2001
Pages
347 - 355
Database
ISI
SICI code
0044-2275(200103)52:2<347:CPTIMS>2.0.ZU;2-H
Abstract
Criteria fur the occurrence of second order phase transitions in supercondu ctivity are developed. We derive a general formula for the lowest value of the second variation of the Ginzburg Landau functional around a solution of the associated Euler Lagrange equations. We use this formula to provide re lations between the Ginzburg Landau parameter and the geometry of the domai n that guarantee a positive sign for the second variation.