The term “quantum turbulence”(QT) unifies the wide class of phenomena where the chaotic
set of one dimensional quantized vortex filaments (vortex tangles) appear in quantum fluids …

The fractional calculus has been part of the mathematics and science literature for 310
years. However, it is only in the past decade or so that it has drawn the attention of …

The term quantum turbulence denotes the turbulent motion of quantum fluids, systems such
as superfluid helium and atomic Bose–Einstein condensates, which are characterized by …

This book explains the quantitative reasoning required by the fractional calculus applied to
complex physical, social, and biological phenomena. Fractional calculus is inextricably …

We study reconnections of quantum vortices by numerically solving the governing Gross-
Pitaevskii equation. We find that the minimum distance between vortices scales differently …

After more than a decade of experiments generating and studying the physics of quantized
vortices in atomic gas Bose–Einstein condensates, research is beginning to focus on the …

Measurements of the energy spectrum and of the vortex-density fluctuation spectrum in
superfluid turbulence seem to contradict each other. Using a numerical model, we show that …

This review paper puts together some results concerning non equilibrium thermodynamics
and heat transport properties of superfluid He II. A one-fluid extended model of superfluid …

The vortex filament model has become a standard and powerful tool to visualize the motion
of quantized vortices in helium superfluids. In this article, we present an overview of the …

We present the Fully cOUpled loCAl model of sUperfLuid Turbulence (FOUCAULT) that
describes the dynamics of finite temperature superfluids. The superfluid component is …