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The dynamics of the forward vortex cascade in 2D turbulence in a superfluid film is investigated using analytic techniques. The cascade is formed by injecting pairs with the same initial separation (the stirring scale) at a constant rate.…

Statistical Mechanics · Physics 2015-06-23 Andrew Forrester , Gary A. Williams

We present results for the equilibrium statistics and dynamic evolution of moderately large ($n = {\mathcal{O}}(10^2 - 10^3)$) numbers of interacting point vortices on the unit sphere under the constraint of zero mean angular momentum. We…

Fluid Dynamics · Physics 2015-04-28 David G. Dritschel , Marcello Lucia , Andrew C. Poje

We establish the stability of a pair of Hill's spherical vortices moving away from each other in 3D incompressible axisymmetric Euler equations without swirl. Each vortex in the pair propagates away from its odd-symmetric counterpart, while…

Analysis of PDEs · Mathematics 2025-07-30 Young-Jin Sim

We consider a 1D chain of fractional vortices in a long Josephson junction with alternating $\pm\kappa$ phase discontinuities. Since each vortex has its own eigenfrequency, the inter-vortex coupling results in eigenmode splitting and in the…

Superconductivity · Physics 2007-05-23 H. Susanto , E. Goldobin , D. Koelle , R. Kleiner , S. A. van Gils

We investigate the collision of two vortex lines moving with viscous dynamics and driven towards each other by an applied current. Using London theory in the approach phase we observe a non-trivial vortex conformation producing…

Superconductivity · Physics 2009-10-31 Malek Bou-Diab , Matthew J. W. Dodgson , Gianni Blatter

The structure of a vortex in the inner crust of a pulsar is calculated microscopically in the Wigner-Seitz cell approximation, simulating the conditions of the inner crust of a cold, non-accreting neutron star, in which a lattice of nuclei…

Nuclear Theory · Physics 2024-10-28 P. Klausner , F. Barranco , P. M. Pizzochero , X. Roca-Maza , E. Vigezzi

We have studied experimentally the generation of vortex flow by gravity waves with a frequency of 2.34 Hz excited on the water surface at an angle $2 \theta = arctan(3/4) \approx 36\deg$ to each other. The resulting horizontal surface flow…

Fluid Dynamics · Physics 2022-04-06 S. V. Filatov , A. V. Poplevin , A. A. Levchenko , V. M. Parfenyev

An inertial mass of a vortex can be calculated by driving it round in a circle with a steadily revolving pinning potential. We show that in the low frequency limit this gives precisely the same formula that was used by Baym and Chandler,…

Other Condensed Matter · Physics 2009-11-13 D. J. Thouless , J. R. Anglin

The comparative analysis of the results of experimental investigations of the processes of formation, interaction and dynamics of vortex structures in pure electron and gas-discharge electron nonneutral plasmas taking place for the period…

Plasma Physics · Physics 2013-08-27 N. A. Kervalishvili

The twist and writhe numbers and magnetic energy of an orthogonally perturbed vortex filaments are obtained from the computation of the magnetic helicity of geodesic and abnormal magnetohydrodynamical (MHD) vortex filament solutions. Twist…

Astrophysics · Physics 2007-05-23 Luiz Carlos Garcia de Andrade

From a new anti-parallel initial condition using long vortices, three-dimensional turbulence forms after two reconnection steps and the formation of at least one vortex ring. The long domain is needed in order to accommodate the multiple…

Fluid Dynamics · Physics 2013-01-21 Robert M. Kerr

The formation of vortex structures at reflection of electron beam from the double layer of the Jupiter ionosphere is investigated in this paper. And also the influence of these vortex structures on the formation of dense upward electron…

Earth and Planetary Astrophysics · Physics 2021-02-15 V. I. Maslov , O. K. Cheremnykh , A. P. Fomina , R. I. Kholodov , O. P. Novak , R. T. Ovsiannikov

Vortices are considered in relativistic Maxwell-Higgs systems in interaction with a neutral scalar field. The gauge field interacts with the neutral field via the presence of generalized permeability, and the charged and neutral scalar…

High Energy Physics - Theory · Physics 2018-03-26 D. Bazeia , M. A. Marques , R. Menezes

We consider the topological interactions of vortices on general surfaces. If the genus of the surface is greater than zero, the handles can carry magnetic flux. The classical state of the vortices and the handles can be described by a…

High Energy Physics - Theory · Physics 2009-10-22 Kai-Ming Lee

Manipulating individual vortices in a deterministic way is challenging, ideally, manipulation should be effective, local, and tunable in strength and location. Here, we show that vortices interact with strain fields generated by mechanical…

Superconductivity · Physics 2016-03-01 Anna Kremen , Shai Wissberg , Noam Haham , Eylon Persky , Yiftach Frenkel , Beena Kalisky

In two dimensional turbulence, vortex thinning process is one of the attractive mechanism to explain inverse energy cascade in terms of vortex dynamics. By direct numerical simulation to the two-dimensional Navier-Stokes equations with…

Analysis of PDEs · Mathematics 2016-09-02 Tsuyoshi Yoneda

We study the possibility of the vortices formation in axion condensate on the galactic scale. Such vortices can occur as a result of global rotation of the early universe. We study analytical models of vortices and calculate exemplary…

Astrophysics · Physics 2010-09-28 Jakub Mielczarek , Tomasz Stachowiak , Marek Szydlowski

Two interaction mechanisms of particles in a fluid are proposed on base of forces, mediated by hydrodynamic thermal fluctuations. The first one is similar to the conventional van der Waals interaction, but instead of been mediated by…

Soft Condensed Matter · Physics 2009-11-07 B. I. Ivlev

Aviation turbulence is modelled as an interaction between an aircraft and a vortex tube. The vortex tube can have an arbitrary orientation/offset with respect to the aircraft. We compare modelling the aircraft (i) as a point and (ii) having…

Fluid Dynamics · Physics 2020-05-07 Nils T. Basse

Vorticity generated in heavy-ion collisions at energy of $\sqrt{s_{NN}}=$ 39 GeV is studied. Simulations are performed within a model of the three-fluid dynamics. A peculiar structure consisting of two vortex rings is found: one ring in the…

Nuclear Theory · Physics 2018-05-04 Yu. B. Ivanov , A. A. Soldatov