The properties of center vortices are discussed within continuum Yang-Mills theory. By starting from the lattice theory and carefully performing the continuum limit the gauge potential of center vortices is obtained and the continuum analog of the maximal center gauge fixing is extracted. It is shown, that the Pontryagin index of center vortices is given by their self-intersection number, which...

Quantum vortices are the quantized version of classical vortices. Their center is a phase singularity or vortex core around which flow particles as whole circulates and typical in superfluids, condensates optical fields. However, exploration motion singularities coherently-coupled systems still underway. We theoretically analyze propagation an interference dislocation regime strong coupling bet...

The core accretion scenario of planet formation assumes that planetesimals and planetary embryos are formed during the primordial, gaseous phases protoplanetary disk. However, how dust particles overcome traditional growth barriers is not well understood. recently proposed viscous ring-instability may explain concentric rings observed in disks by assuming grains can reduce gas conductivity, whi...

We investigate dynamical coupling timescales of a neutron star’s superfluid core, taking into account the interactions of quantized neutron vortices with quantized flux lines of the proton superconductor in addition to the previously considered scattering of the charged components against the spontaneous magnetization of the neutron vortex line. We compare the cases where vortex motion is const...

One of the ubiquitous features of real-life turbulent flows is the existence and persistence of coherent vortices. Here we show that such coherent vortices can be extracted as clusters of Lagrangian trajectories. We carry out the clustering on a weighted graph, with the weights measuring pairwise distances of fluid trajectories in the extended phase space of positions and time. We then extract ...

A laboratory experiment on a turbulent shear flow in a rapidly rotating annulus yields vortices with many properties of jovian vortices, including their spontaneous formation and persistence, the merger of vortices of like sign, and particle trapping. When the fluid is strongly forced (Reynolds number >_ 104), a wide zone of nearly uniform potential vorticity forms, and vortices successively me...

The scattering is studied using moduli space metric for well-separated vortices of nonAbelian vortices in (2+1)-dimensional U(N) gauge theories with N Higgs fields in the fundamental representation. Unlike vortices in the Abelian-Higgs model, dynamics of nonAbelian vortices has a lot of new features; The kinetic energy in real space can be transfered to that of internal orientational moduli and...

We present numerical simulations as well as experimental results concerning transitions between Taylor vortices and spiral vortices in the Taylor-Couette system with rigid, nonrotating lids at the cylinder ends. These transitions are performed by wavy structures appearing via a secondary bifurcation out of Taylor vortices and spirals, respectively. In the presence of these axial end walls, pure...

Specific topological excitations of energetically stable “core-and-mantle” configurations trapped two-component immiscible Bose–Einstein condensates are studied numerically within the coupled Gross–Pitaevskii equations. Nonstationary long-lived coherent structures, that consist several quantum vortex filaments penetrating “mantle” from outside to inside and vice versa demonstrate quite nontrivi...

In superconductors where the coherence length is comparable to the Fermi wavelength , the electronic levels within a vortex core are quantized, and separated by energies of the order of the superconducting gap. The absence of a continuum modifies significantly the energy dissipation due to the motion of vortices. At zero temperature , dissipation is suppressed, and the system shows non ohmic be...