Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many
physical systems across various disciplines, from tiny laboratory scales to geophysical and …

In quantum fluids, the quantization of circulation forbids the diffusion of a vortex swirling flow
seen in classical viscous fluids. Yet, accelerating quantum vortices may lose their energy …

A central concept in the modern understanding of turbulence is the existence of cascades of
excitations from large to small length scales, or vice versa. This concept was introduced in …

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In this article, we construct fluid equations in fractal dimensions based on the concept of the
product-like fractal measure introduced by Li and Ostoja-Starzewski in their formulation of …

Quantum turbulence—the stochastic motion of quantum fluids such as 4He and 3He-B,
which display pure superfluidity at zero temperature and two-fluid behavior at finite but low …

The nature of particle and entropy flow between two superfluids is often understood in terms
of reversible flow carried by an entropy-free, macroscopic wavefunction. While this …

Generic scaling laws, such as Kolmogorov's 5/3 law, are milestone achievements of
turbulence research in classical fluids. For quantum fluids such as atomic Bose–Einstein …

We model the superfluid flow of liquid helium over the rough surface of a wire (used to
experimentally generate turbulence) profiled by atomic force microscopy. Numerical …

We study the statistical properties of the Kelvin waves propagating along quantized
superfluid vortices driven by the Gross-Pitaevskii equation. No artificial forcing or dissipation …