### Abstract

We study the Ginzburg-Landau energy of superconductors with high κ, put in a prescribed external field h_{ex}, for h_{ex} varying between the two critical fields H_{c1} and H_{c3}. As κ → + ∞, we give the leading term in the asymptotic expansion of the minimal energy and show that energy minimizers have vortices whose density tends to be uniform and equal to h_{ex}.

Original language | English (US) |
---|---|

Pages (from-to) | 1219-1257 |

Number of pages | 39 |

Journal | Reviews in Mathematical Physics |

Volume | 12 |

Issue number | 9 |

State | Published - Sep 2000 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Reviews in Mathematical Physics*,

*12*(9), 1219-1257.

**On the energy of type-II superconductors in the mixed phase.** / Sandier, Etienne; Serfaty, Sylvia.

Research output: Contribution to journal › Article

*Reviews in Mathematical Physics*, vol. 12, no. 9, pp. 1219-1257.

}

TY - JOUR

T1 - On the energy of type-II superconductors in the mixed phase

AU - Sandier, Etienne

AU - Serfaty, Sylvia

PY - 2000/9

Y1 - 2000/9

N2 - We study the Ginzburg-Landau energy of superconductors with high κ, put in a prescribed external field hex, for hex varying between the two critical fields Hc1 and Hc3. As κ → + ∞, we give the leading term in the asymptotic expansion of the minimal energy and show that energy minimizers have vortices whose density tends to be uniform and equal to hex.

AB - We study the Ginzburg-Landau energy of superconductors with high κ, put in a prescribed external field hex, for hex varying between the two critical fields Hc1 and Hc3. As κ → + ∞, we give the leading term in the asymptotic expansion of the minimal energy and show that energy minimizers have vortices whose density tends to be uniform and equal to hex.

UR - http://www.scopus.com/inward/record.url?scp=0034356866&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034356866&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034356866

VL - 12

SP - 1219

EP - 1257

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

SN - 0129-055X

IS - 9

ER -