Abrupt transition between three and two-dimensional quantum turbulence
Abstract
We present numerical evidence of a critical-like transition in an out-of-equilibrium mean-field description of a quantum system. By numerically solving the Gross-Pitaevskii equation we show that quantum turbulence displays an abrupt change between three-dimensional (3D) and two-dimensional (2D) behavior. The transition is observed both in quasi-2D flows in cubic domains (controlled by the amplitude of a 3D perturbation to the flow), as well as in flows in thin domains (controlled by the domain aspect ratio) in a configuration that mimics systems realized in laboratory experiments. In one regime the system displays a transfer of the energy towards smaller scales, while in the other the system displays a transfer of the energy towards larger scales and a coherent self-organization of the quantized vortices.
Cite
@article{arxiv.2003.05305,
title = {Abrupt transition between three and two-dimensional quantum turbulence},
author = {Nicolás P. Müller and Marc-Etienne Brachet and Alexandros Alexakis and Pablo D. Mininni},
journal= {arXiv preprint arXiv:2003.05305},
year = {2020}
}