Emergent Hydrodynamic Turbulence from Wave Turbulence
Abstract
BoseEinstein condensates with their superfluidity property provide an interesting parallel to classical fluids. Due to the Kolmogorov spectrum of homogeneous turbulence the statistics of the incompressible velocity field is of great interest, but in superfluids obtaining quantities such as the statistics of the velocity field from the macroscopic wavefunction turns out be a complicated task; therefore, most of the work up to now has been numerical in nature. We made use of the Weak Wave Turbulence (WWT) theory, which provides the statistics of the macroscopic wavefunction, to obtain the statistics of the velocity field, which allowed us to produce a semianalytical procedure for extracting the incompressible energy spectrum in the WWT regime. This is done by introducing an auxiliary field that preserves the relevant statistical and hydrodynamical properties of the condensate but with a homogeneous density thus allowing for a simpler description of the velocity field.
 Publication:

arXiv eprints
 Pub Date:
 April 2021
 arXiv:
 arXiv:2104.02798
 Bibcode:
 2021arXiv210402798D
 Keywords:

 Condensed Matter  Quantum Gases;
 Physics  Fluid Dynamics
 EPrint:
 8 pages, 4 figures