Discontinuous transitions towards vortex condensates in buoyancy-driven rotating turbulence

Vortex Lattices in Rotating Bose-Einstein Condensates

Vortex lattice transitions in cyclic spinor condensates.

We study the energetics of vortices and vortex lattices produced by rotation in the cyclic phase of F=2 spinor condensates. In addition to the familiar triangular lattice predicted by Tkachenko for 4He, many more complex lattices appear in this system as a result of the spin degree of freedom. In particular, we predict a magnetic-field-driven transition from a triangular lattice to a honeycomb ...

Energy spectrum of buoyancy-driven turbulence.

Using high-resolution direct numerical simulation and arguments based on the kinetic energy flux Π(u), we demonstrate that, for stably stratified flows, the kinetic energy spectrum E(u)(k)∼k(-11/5), the potential energy spectrum E(θ)(k)∼k(-7/5), and Π(u)(k)∼k(-4/5) are consistent with the Bolgiano-Obukhov scaling. This scaling arises due to the conversion of kinetic energy to the potential ener...

Shell model for buoyancy-driven turbulence.

In this paper we present a unified shell model for stably stratified and convective turbulence. Numerical simulation of this model for stably stratified flow shows Bolgiano-Obukhbov scaling in which the kinetic energy spectrum varies as k(-11/5). The shell model of convective turbulence yields Kolmogorov's spectrum. These results are consistent with the energy flux and energy feed due to buoyan...

Efficiently computing vortex lattices in rapid rotating Bose-Einstein condensates

Article history: Received 21 March 2008 Received in revised form 24 November 2008 Accepted 2 December 2008 Available online 7 December 2008 PACS: 11.10.Jj 11.10.St 31.15.-p