The ground state energy of the three dimensional Ginzburg-Landau model in the mixed phase

We consider the Ginzburg-Landau functional defined over a bounded and smooth three dimensional domain. Supposing that the strength of the applied magnetic field varies between the first and second critical fields, in such a way that $H_{C_1}\ll H\ll H_{C_2}$, we estimate the ground state energy to leading order as the Ginzburg-Landau parameter tends to infinity.

• Publication year

  2010

• Venue

  arXiv: Analysis of PDEs

• Publication date

  2010-10-10

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1016/J.JFA.2011.08.002arXiv 1010.1896
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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