The breakdown of superconductivity in the presence of magnetic steps

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Abstract

Many earlier works were devoted to the study of the breakdown of superconductivity in type-II superconducting bounded planar domains, submitted to smooth magnetic fields. In the present contribution, we consider a new situation where the applied magnetic field is piecewise-constant, and the discontinuity jump occurs along a smooth curve meeting the boundary transversely. To handle this situation, we perform a detailed spectral analysis of a new effective model. Consequently, we establish the monotonicity of the transition from a superconducting to a normal state. Moreover, we determine the location of superconductivity in the sample just before it disappears completely. Interestingly, the study shows similarities with the case of corner domains subjected to constant fields.

Detaljer

Författare
  • Wafaa Assaad
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Artikelnummer2050005
TidskriftCommunications in Contemporary Mathematics
Volym23
Utgåva nummer2
Tidigt onlinedatum2020 mar 4
StatusPublished - 2021
PublikationskategoriForskning
Peer review utfördJa