Related Experiment Video
Updated: Jun 4, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
From Inverse-Cascade to Subdiffusive Dynamic Scaling in Driven Disordered Bose Fluids
Elisabeth Gliott1, Adam Rançon2, Nicolas Cherroret1
1<a href="https://ror.org/01h14ww21">Laboratoire Kastler Brossel</a>, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 Place Jussieu, 75005 Paris, France.
Abstract:
We explore the emergence of universal dynamic scaling in an interacting Bose gas around the condensation transition, under the combined influence of an external driving force and spatial disorder. As time progresses, we find that the Bose gas crosses over three distinct dynamical regimes: (i) an inverse turbulent cascade where interactions dominate the drive, (ii) a stationary regime where the inverse cascade and the drive counterbalance one other, and (iii) a sub-diffusive cascade in energy space governed by the drive and disorder, a phenomenon recently observed experimentally. We show that all three dynamical regimes can be described by self-similar scaling laws.
Related Concept Videos
Dimensionless Groups in Fluid Mechanics
Typical Model Studies
Design Example: Creating a Hydraulic Model of a Dam Spillway
Newtonian Fluid: Problem Solving
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
Navier–Stokes Equations
Accelerating Fluids
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:

