A result on the phase diagram of a Ginzburg-Landau problem

2003/06/26 by Mathieu Dutour Sikirić, Mathieu Dutour, Dutour, Mathieu
Engineering · Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #FOS: Physical sciences #Material Science and Thermodynamics #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0306065

17 pages

arxiv created 2003/06/26 · openalex publication_date 2003/06/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Working with a particular modelization of Ginzburg-Landau phenomenological theory (see \citedutourII, \citedutour and Section \refchange-var), we first recall the form of the phase diagram of this modelization as it usually drawn in the physical literature (\citetink, \citeKittel, \citesarma and \citePG-de-Gennes). We then study in detail the special case, when the critical Ginzburg Landau parameter k is equal to (1)/(√(2)). This allows us to prove that the critical magnetic field H_c1(k) is strictly decreasing at k=(1)/(√(2)). PACS: 01.30.Cc, 02.30.Jr, 74.25.Dw

Citations

• Theory of Superconductivity

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