Chiral Modes of Giant Superfluid Vortices
We discuss rapidly rotating states of a superfluid. We concentrate on the Giant-Vortex (GV)
state, which is a coherent rotating solution with a macroscopic hole at the center. We show …
state, which is a coherent rotating solution with a macroscopic hole at the center. We show …
Boundary behavior of the Ginzburg–Landau order parameter in the surface superconductivity regime
M Correggi, N Rougerie - Archive for Rational Mechanics and Analysis, 2016 - Springer
We study the 2D Ginzburg--Landau theory for a type-II superconductor in an applied
magnetic field varying between the second and third critical value. In this regime the order …
magnetic field varying between the second and third critical value. In this regime the order …
On the Ginzburg–Landau functional in the surface superconductivity regime
M Correggi, N Rougerie - Communications in Mathematical Physics, 2014 - Springer
We present new estimates on the two-dimensional Ginzburg–Landau energy of a type-II
superconductor in an applied magnetic field varying between the second and third critical …
superconductor in an applied magnetic field varying between the second and third critical …
Gaussian impurity moving through a Bose-Einstein superfluid
F Pinsker - Physica B: Condensed Matter, 2017 - Elsevier
In this paper a finite Gaussian impurity moving through an equilibrium Bose-Einstein
condensate at T= 0 is studied. The problem can be described by a Gross-Pitaevskii …
condensate at T= 0 is studied. The problem can be described by a Gross-Pitaevskii …
Coulomb gases and Ginzburg-Landau vortices
S Serfaty - arXiv preprint arXiv:1403.6860, 2014 - arxiv.org
arXiv:1403.6860v4 [math-ph] 21 Jul 2015 Page 1 Coulomb Gases and Ginzburg-Landau
Vortices Sylvia Serfaty November 2014 arXiv:1403.6860v4 [math-ph] 21 Jul 2015 Page 2 2 …
Vortices Sylvia Serfaty November 2014 arXiv:1403.6860v4 [math-ph] 21 Jul 2015 Page 2 2 …
Napoleonic triangles on the sphere
S Dipierro, L Noakes, E Valdinoci - Bulletin of the Brazilian Mathematical …, 2024 - Springer
As is well-known, numerical experiments show that Napoleon's Theorem for planar triangles
does not extend to a similar statement for triangles on the unit sphere S 2. Spherical …
does not extend to a similar statement for triangles on the unit sphere S 2. Spherical …
On the third critical speed for rotating Bose-Einstein condensates
M Correggi, D Dimonte - Journal of Mathematical Physics, 2016 - pubs.aip.org
We study a two-dimensional rotating Bose-Einstein condensate confined by an anharmonic
trap in the framework of the Gross-Pitaevskii theory. We consider a rapid rotation regime …
trap in the framework of the Gross-Pitaevskii theory. We consider a rapid rotation regime …
Topics in the Mathematical Physics of Cold Bose Gases
J Yngvason - arXiv preprint arXiv:1402.0706, 2014 - arxiv.org
In these notes of six lectures on selected topics in the theory of cold, dilute Bose gases,
presented at the 5th Warsaw School of Statistical Physics in June 2013, the following topics …
presented at the 5th Warsaw School of Statistical Physics in June 2013, the following topics …
Spectral geometry in a rotating frame: Properties of the ground state
D Barseghyan, P Exner - Journal of Mathematical Analysis and …, 2020 - Elsevier
We investigate spectral properties of the operator describing a quantum particle confined to
a planar domain Ω rotating around a fixed point with an angular velocity ω and demonstrate …
a planar domain Ω rotating around a fixed point with an angular velocity ω and demonstrate …
[PDF][PDF] On the Ginzburg-Landau Functional in the Surface Superconductivity Regime
N Rougerie, M Correggi - arXiv preprint arXiv:1309.2268, 2013 - hal.science
We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II
superconductor in an applied magnetic field varying between the second and third critical …
superconductor in an applied magnetic field varying between the second and third critical …