2,221 research outputs found
Composite structure of vortices in two-component Bose-Einstein condensate
In contrast to one-component Bose-Einstein condensate case, the vortices in
two-component condensate can have various complicated structures. The vortices
in a space-homogeneous Bose-Einstein condensate have been studied in this
paper. It is shown that the vortex structure is described by three
dimensionless parameters. This is totally different from the usual
one-component condensate case, where an isolated vortex is described by a
parameter-less dimensionless equation. The two-component vortex structure
strongly depends on the sign of "interaction" constant of the components. A few
types of vortices with different qualitative structure are explored. We show
that the super-density vortices can exist, when the "interaction" constant is
positive. The super-density vortices have the near-axis density greater than
the equilibrium density of a homogeneous space Bose-Einstein condensate. We
also show that the vortices with opposite direction of the condensate component
rotation near the axis and far off the axis can exist.Comment: LaTeX, 13 pages, 4 figures, UJP styl
On Properties of the Intrinsic Geometry of Submanifolds in a Riemannian Manifold
In the paper we study the properties of a metric function which is the
extension by continuity of the intrinsic metric of the interior of a
submanifold to its boundary. This approach is the development of the classical
intrinsic geometry of surfaces studied by A.D. Alexandrov and his school
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