Matches in SemOpenAlex for { <https://semopenalex.org/work/W4296932795> ?p ?o ?g. }
Showing items 1 to 60 of
60
with 100 items per page.
- W4296932795 abstract "We consider a Ginzburg-Landau type energy with a piecewise constant pinning term $a$ in the potential $(a^2 - |u|^2)^2$. The function $a$ is different from 1 only on finitely many disjoint domains, called the {it pinning domains}. These pinning domains model small impurities in a homogeneous superconductor and shrink to single points in the limit $vto0$; here, $v$ is the inverse of the Ginzburg-Landau parameter. We study the energy minimization in a smooth simply connected domain $Omega subset mathbb{C}$ with Dirichlet boundary condition $g$ on $d O$, with topological degree ${rm deg}_{d O} (g) = d >0$. Our main result is that, for small $v$, minimizers have $d$ distinct zeros (vortices) which are inside the pinning domains and they have a degree equal to 1. The question of finding the locations of the pinning domains with vortices is reduced to a discrete minimization problem for a finite-dimensional functional of renormalized energy. We also find the position of the vortices inside the pinning domains and show that, asymptotically, this position is determined by {it local renormalized energy} which does not depend on the external boundary conditions." @default.
- W4296932795 created "2022-09-24" @default.
- W4296932795 creator A5029939051 @default.
- W4296932795 creator A5075287256 @default.
- W4296932795 date "2011-03-20" @default.
- W4296932795 modified "2023-09-28" @default.
- W4296932795 title "Ginzburg-Landau model with small pinning domains" @default.
- W4296932795 doi "https://doi.org/10.48550/arxiv.1103.3867" @default.
- W4296932795 hasPublicationYear "2011" @default.
- W4296932795 type Work @default.
- W4296932795 citedByCount "0" @default.
- W4296932795 crossrefType "posted-content" @default.
- W4296932795 hasAuthorship W4296932795A5029939051 @default.
- W4296932795 hasAuthorship W4296932795A5075287256 @default.
- W4296932795 hasBestOaLocation W42969327951 @default.
- W4296932795 hasConcept C10138342 @default.
- W4296932795 hasConcept C121332964 @default.
- W4296932795 hasConcept C134306372 @default.
- W4296932795 hasConcept C140820882 @default.
- W4296932795 hasConcept C162324750 @default.
- W4296932795 hasConcept C186370098 @default.
- W4296932795 hasConcept C198082294 @default.
- W4296932795 hasConcept C207467116 @default.
- W4296932795 hasConcept C2524010 @default.
- W4296932795 hasConcept C26873012 @default.
- W4296932795 hasConcept C33923547 @default.
- W4296932795 hasConcept C62520636 @default.
- W4296932795 hasConcept C97355855 @default.
- W4296932795 hasConceptScore W4296932795C10138342 @default.
- W4296932795 hasConceptScore W4296932795C121332964 @default.
- W4296932795 hasConceptScore W4296932795C134306372 @default.
- W4296932795 hasConceptScore W4296932795C140820882 @default.
- W4296932795 hasConceptScore W4296932795C162324750 @default.
- W4296932795 hasConceptScore W4296932795C186370098 @default.
- W4296932795 hasConceptScore W4296932795C198082294 @default.
- W4296932795 hasConceptScore W4296932795C207467116 @default.
- W4296932795 hasConceptScore W4296932795C2524010 @default.
- W4296932795 hasConceptScore W4296932795C26873012 @default.
- W4296932795 hasConceptScore W4296932795C33923547 @default.
- W4296932795 hasConceptScore W4296932795C62520636 @default.
- W4296932795 hasConceptScore W4296932795C97355855 @default.
- W4296932795 hasLocation W42969327951 @default.
- W4296932795 hasLocation W42969327952 @default.
- W4296932795 hasLocation W42969327953 @default.
- W4296932795 hasLocation W42969327954 @default.
- W4296932795 hasOpenAccess W4296932795 @default.
- W4296932795 hasPrimaryLocation W42969327951 @default.
- W4296932795 hasRelatedWork W1630583463 @default.
- W4296932795 hasRelatedWork W1991117595 @default.
- W4296932795 hasRelatedWork W2003421505 @default.
- W4296932795 hasRelatedWork W2006759378 @default.
- W4296932795 hasRelatedWork W2027631368 @default.
- W4296932795 hasRelatedWork W2048702247 @default.
- W4296932795 hasRelatedWork W2052851549 @default.
- W4296932795 hasRelatedWork W2056738329 @default.
- W4296932795 hasRelatedWork W2092707381 @default.
- W4296932795 hasRelatedWork W3103805427 @default.
- W4296932795 isParatext "false" @default.
- W4296932795 isRetracted "false" @default.
- W4296932795 workType "article" @default.