To discover the nonlinear characteristics of pipe flow, we simulated the flow as a sum of many vortex rings. As a first step, we investigated the nonlinear interaction among a maximum of three vortex rings. The pipe wall was replaced by many bound vortices. A free vortex ring moves right or left according to the radius, and that of a particular radius keeps the initial position. The energy of a...

We consider resonant vortices around nodal points of the wavefunction in electron transport through a mesoscopic device. With a suitable choice of the device geometry, the dominating role is played by single vortices of a preferred orientation. To characterize strength of the resulting magnetic moment we have introduced a magnetance, the quantity defined in analogy with the device conductance. ...

One of the solutions of the Helmholtz equation is the vortex beams. In the recent decades, production and applications of these types of beams have found serious attentions. Determination of the vortex beam topological charge and its sign are very important issues. Odd number of reflections of the vortex beam changes its vorticity. In this paper, we have used a q-plate to generate a vortex beam...

3D electroweak sphaleron configurations are studied by Abelian projection from the Maximal Abelian gauge. They all contain a symmetric array of Abelian monopoles and anti-monopoles connected by Abelian vortex strings. Gauge–invariant lattice definitions of the Nambu monopole and the Z–vortex string on the lattice are formulated. Looking for these new types of lattice topological defects, we dem...

The phase structure of a (2 + 1) dimensional model of relativistic fermions with a four fermi interaction is analyzed in the strong coupling regime using the large N perturbation theory. It is shown that, this model exhibits a low temperature superconducting phase due to the vortex-anti vortex binding via Kosterlitz-Thouless mechanism. Above a critical temperature, vortices unbind and supercond...