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We study the dynamics of small vortex clusters with few (2--4) co-rotating vortices in Bose-Einstein condensates by means of experiments, numerical computations, and theoretical analysis. All of these approaches corroborate the…

Caustic singularities of the spatial distribution of particles in turbulent aerosols enhance collision rates and accelerate coagulation. Here we investigate how and where caustics form at weak particle inertia, by analysing a…

Fluid Dynamics · Physics 2024-05-16 Jan Meibohm , Kristian Gustavsson , Bernhard Mehlig

We present a new microscopic model of granular medium to study the role of dynamical correlations and the onset of spatial order induced by the inelasticity of the interactions. In spite of its simplicity, it features several different…

Statistical Mechanics · Physics 2009-11-07 A. Baldassarri , U. Marini Bettolo Marconi , A. Puglisi

We analyze recent experiments at JILA which observe periodic formation of stripes in a rotating Bose condensate [Engels et al. Phys. Rev. Lett. {\bf 89}, 100403 (2002)], and explain this behavior as a consequence of kinetic energy driven…

Condensed Matter · Physics 2009-11-07 Erich J. Mueller , Tin-Lun Ho

The linear stability of three-dimensional (3D) vortices in rotating, stratified flows has been studied by analyzing the non-hydrostatic inviscid Boussinesq equations. We have focused on a widely-used model of geophysical and astrophysical…

Atmospheric and Oceanic Physics · Physics 2017-08-02 Mani Mahdinia , Pedram Hassanzadeh , Philip S. Marcus , Chung-Hsiang Jiang

Vorticity is a key ingredient to a broad variety of fluid phenomena, and its quantised version is considered to be the hallmark of superfluidity. Circulating flows that correspond to vortices of a large topological charge, termed giant…

Traditional models of electrokinetic transport in porous media are based on homogenized material properties, which neglect any macroscopic effects of microscopic fluctuations. This perspective is taken not only for convenience, but also…

Planetary and magnetohydrodynamic drift-wave turbulence is observed to self-organize into large scale structures such as zonal jets and coherent vortices. In this Letter we present a non-equilibrium statistical theory, the Stochastic…

Atmospheric and Oceanic Physics · Physics 2014-02-13 Nikolaos A. Bakas , Petros J. Ioannou

A phase-slip in the fringes of an interference pattern is an unmistakable characteristic of vorticity. We show dramatic two-dimensional simulations of interference between expanding condensate clouds with and without vorticity. In this way,…

Condensed Matter · Physics 2009-10-31 Eric L. Bolda , Dan F. Walls

The presence of a no-slip, impermeable, adiabatic, sloped boundary in an otherwise quiescent, stably stratified, Boussinesq flow generates baroclinic vorticity within a diffusive boundary layer. Such conditions are typical of the…

Fluid Dynamics · Physics 2022-10-26 Bryan Kaiser , Lawrence Pratt

We study the dynamics of vortex nucleation and lattice formation in a Bose--Einstein condensate in a rotating square optical lattice by numerical simulations of the Gross--Pitaevskii equation. Different dynamical regimes of vortex…

Quantum Gases · Physics 2011-11-23 Akira Kato , Yuki Nakano , Kenichi Kasamatsu , Tetsuo Matsui

To develop an understanding of recent experiments on the turbulence-induced melting of a periodic array of vortices in a thin fluid film, we perform a direct numerical simulation of the two-dimensional Navier-Stokes equations forced such…

Fluid Dynamics · Physics 2015-05-14 Prasad Perlekar , Rahul Pandit

We have imaged spontaneously created arrays of vortices (magnetic flux quanta), generated in a superconducting film quenched through its transition temperature at rates around $10^9 K/s$. From these images, we calculated the positional…

Statistical Mechanics · Physics 2015-05-20 Daniel Golubchik , Emil Polturak , Gad Koren , Boris Ya. Shapiro , Irina Shapiro

We study the dynamics of a straight vortex line in a partially Bose-Einstein condensed atomic gas. Using a variational approach to the stochastic field equation that describes the dynamics of the condensate at nonzero temperature, we derive…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , B. W. A. Leurs , H. T. C. Stoof

In the present work, we motivate and explore the dynamics of a dissipative variant of the nonlinear Schr{\"o}dinger equation under the impact of external rotation. As in the well established Hamiltonian case, the rotation gives rise to the…

Quantum Gases · Physics 2014-12-02 R. Carretero-Gonzalez , P. G. Kevrekidis , T. Kolokolnikov

The dynamical response of edge waves under the influence of self-gravity is examined in an idealized two-dimensional model of a proto-stellar disc, characterized in steady state as a rotating vertically infinite cylinder of fluid with…

Solar and Stellar Astrophysics · Physics 2016-04-27 Ron Yellin-Bergovoy , Eyal Heifetz , Orkan M. Umurhan

The evolution of a localized vortex in stably stratified flow, within the Boussinesq approximation, is analyzed using the fluid impulse concept. The set of equations describing the temporal development of the fluid impulse has an…

Fluid Dynamics · Physics 2021-12-14 Vladimir Levinski

In the framework of the theory of partially fluidized granular flows we study the formation of longitudinal structures observed experimentally by Forterre and Pouliquen in a flow down a rough inclined plane. We show that the formation of…

Materials Science · Physics 2016-08-31 Igor S. Aranson , Lev S. Tsimring

We explore the conditions required for isolated vortices to exist in sheared zonal flows and the stability of the underlying zonal winds. This is done using the standard 2-layer quasigeostrophic model with the lower layer depth becoming…

Atmospheric and Oceanic Physics · Physics 2018-09-25 Glenn R. Flierl , Philip J. Morrison , Rohith Vilasur Swaminathan

We develop a minimal model for \textit{pulsar glitches} by introducing a solid-crust potential in the three-dimensional (3D) Gross-Pitaevskii-Poisson equation (GPPE), which we have used earlier to study gravitationally bound Bose-Einstein…

High Energy Astrophysical Phenomena · Physics 2020-05-28 Akhilesh Kumar Verma , Rahul Pandit , Marc E. Brachet