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A GENERALIZED QUOT SCHEME AND MEROMORPHIC VORTICES
Generalized Quot scheme meromorphic vortices moduli space Poincar′e polynomial
2015/12/17
Let X be a compact connected Riemann surface. Fix a positive integer r and two nonnegative integers dp and dz. Consider all pairs of the form (F , f), where F is a holomorphic vector bundle on X of ra...
Signature of Large Aspect Ratio Roll Vortices in Synthetic Aperture Radar Images of Tropical Cyclones
Large Aspect Ratio Roll Vortices Synthetic Aperture Radar Images Tropical Cyclones
2015/7/16
Synthetic aperture radar images of tropical cyclones have been processed into high-resolution surface wind vector fields. Examination of the surface wind divergence and wind stress curl show that wind...
Magnetic Field Delocalization and Flux Inversion in Fractional Vortices in Two-Component Superconductors
One-component Abrikosov vortex superconductors vortex vortex
2014/12/19
We demonstrate that, in contrast with the single-component Abrikosov vortex, in two-component superconductors vortex solutions with an exponentially screened magnetic field exist only in exceptional c...
Dark-bright solitons and vortices in Bose-Einstein condensates
Bose-Einstein condensates dark-bright soliton Gross Pitaevskii equations
2014/12/8
This dissertation focuses on the properties of nonlinear waves in Bose-Einstein condensates (BECs). The fundamental model here is the nonlinear Schrodinger equation, the so-called Gross-Pitaevskii (GP...
Some recent papers proposed the use of the satellite images of Google Earth in teaching physics, in particular to see some behaviours of waves. Reflection, refraction, diffraction and interference are...
Vortices and chirality in multi-band superconductors
Vortices chirality multi-band superconductors
2012/2/27
We investigate several important properties of multi-band superconductors. They are time-reversal symmetry breaking, chirality and fractional quantum flux vortices in three-band superconductors. The B...
Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices
anharmonic traps vortex lattices giant vortices Quantum Gases
2011/10/9
Abstract: We study a superfluid in a rotating anharmonic trap and explicate a rigorous proof of a transition from a vortex lattice to a giant vortex state as the rotation is increased beyond a limitin...
Spindles and active vortices in a model of confined filament-motor mixtures
Spindles active vortices confined filament-motor mixtures
2011/8/18
Abstract: Robust self-organization of subcellular structures is a key principle governing the dynamics and evolution of cellular life. In fission yeast cells undergoing division, the mitotic spindle s...
Electrodynamics of Abrikosov vortices: the Field Theoretical Formulation
Electrodynamics Abrikosov vortices the Field Theoretical Formulation Superconductivity
2011/7/28
Abstract: Electrodynamic phenomena related to vortices in superconductors have been studied since their prediction by Abrikosov, and seem to hold no fundamental mysteries. However, most of the effects...
Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
Non-Abelian Vortices Supersymmetric Gauge Field Theory High Energy Physics - Theory
2011/7/27
Abstract: Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confin...
Tight focusing properties of linearly polarized Gaussian beam with a pair of vortices
Tight focusing High numerical-aperture Apairofvortices Vector Debye integral Topological charge
2013/7/3
The properties of a pair of vortices embedded in a Gaussian beam focused by a high numerical-aperture are studied on the basis of vector Debye integral. The vortices move and rotate in the vicinity of...
Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface
Quillen bundle Geometric Prequantization Non-Abelian Vortices Riemann surface
2011/3/3
In this paper we prequantize the moduli space of non-abelian vortices.We explicitly calculate the symplectic form arising from the L2 metric and we construct a prequantum line bundle whose curvature i...
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface with target Matr×n(C), where ...
We study pure Yang–Mills theory on × S2, where is a compact Riemann surface, and invariance is assumed under rotations of S2. It is well known that the self-duality equations in this set-up reduce...
Baryonic Bound State of Vortices in Multicomponent Superconductors
Baryonic Bound State Vortices Multicomponent Superconductors
2010/12/27
We construct a bound state of three 1/3-quantized vortices in three-component superconductors with intrinsic Josephson couplings, which may be relevant with regard to iron-based superconductors. We fi...