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Optical turbulence is the term that is used being based on the analogy between hydrodynamic and optical equations. The phenomenon of turbulent photon filamentation occurs in lasers and other active optical media at high Fresnel numbers. A…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov

We consider the theoretical setting of a superfluid like 3He in a rotating container, which is set between the two layers of a type-II superconductor. We describe the superfluid vortices as a 2-dimensional Ising-like model on a triangular…

Quantum Physics · Physics 2010-06-08 Paola Zizzi , Eliano Pessa , Fabio Cardone

Vorticity in two-dimensional superfluids is subject to intense research efforts due to its role in quantum turbulence, dissipation and the BKT phase transition. Interaction of sound and vortices is of broad importance in Bose-Einstein…

We consider the dynamics of small tracer particles in turbulent quantum liquids. The complicated interaction processes of vortex filaments, the quantum constraints on vorticity and the varying influence of both the superfluid and the normal…

Statistical Mechanics · Physics 2013-03-27 Christian Beck , Shihan Miah

We study inelastic interactions of particles with quantized vortices in superfluids by using a semi-classical matter wave theory that is analogous to the Landau two-fluid equations, but allows for the vortex dynamics. The research is…

Other Condensed Matter · Physics 2016-11-23 I. A. Pshenichnyuk , N. G. Berloff

When a drop falls from a moderate height into a shallow fluid pool whose depth is of the order of the drop-radius two pairs of vortex rings are generated. The inner pair forms at the edge of the crater created by the impacting drop while…

Fluid Dynamics · Physics 2013-05-06 Andreas Wilkens , David Auerbach , GertJan van Heijst

In cellular vortical flows, namely arrays of counter-rotating vortices, short but flexible filaments can show simple random walks through their stretch-coil interactions with flow stagnation points. Here, we study the dynamics of semi-rigid…

Soft Condensed Matter · Physics 2021-08-18 Shi-Yuan Hu , Jun-Jun Chu , Michael J. Shelley , Jun Zhang

We employ detailed numerical simulations to probe the mechanism of flow reversals in two-dimensional turbulent convection. We show that the reversals occur via vortex reconnection of two attracting corner rolls having same sign of…

Fluid Dynamics · Physics 2015-06-05 Mani Chandra , Mahendra K. Verma

We study the behavior of vortex filaments subject to a uniform density of phase twist in oscillatory media described by the complex Ginzburg-Landau equation. The first instability is a supercritical Hopf bifurcation to stable propagating…

chao-dyn · Physics 2009-10-31 Guillaume Rousseau , Hugues Chaté , Raymond Kapral

A theory is developed to describe the superfluid turbulence on the base of kinetics of the merging and splitting vortex loops. Because of very frequent reconnections the vortex loops (as a whole) do not live long enough to perform any…

Statistical Mechanics · Physics 2009-11-13 Sergey K. Nemirovskii

An intriguing link between a wide range of problems occurring in physics and financial engineering is presented. These problems include the evolution of small perturbations of linear flows in hydrodynamics, the movements of particles in…

Mathematical Finance · Quantitative Finance 2024-03-18 Alexander Lipton

Hydrodynamic flow in both classical and quantum fluids can be either laminar or turbulent. To describe the latter, vortices in turbulent flow are modelled with stable vortex filaments. While this is an idealization in classical fluids,…

Results from a new series of experiments on turbulent flows in a rotating circular container are presented. Electromagnetic forcing is applied to induce flow in a layer of fluid of constant depth. Continuously forced as well as decaying…

Atmospheric and Oceanic Physics · Physics 2013-04-11 Y. D. Afanasyev , J. D. C. Craig

This paper presents a finite particle approximation of the two-fluid model for liquid $^4$He using smoothed particle hydrodynamics (SPH). In recent years, several studies have combined the vortex filament model (VFM), which describes…

Other Condensed Matter · Physics 2021-05-10 Satori Tsuzuki

The appearance of quantised vortices in the classical ``rotating bucket'' experiments of liquid helium and ultracold dilute gases provides the means for fundamental and comparative studies of different superfluids. Here, we realize the…

We show the existence of periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow, under gravity, whose profiles are overhanging, including one which intersects itself to enclose a…

Analysis of PDEs · Mathematics 2022-05-24 Vera Mikyoung Hur , Miles H. Wheeler

In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Mauricio Richartz , Angus Prain , Stefano Liberati , Silke Weinfurtner

In a recent experiment Finne et al. discovered an intrinsic condition for the onset of quantum turbulence in $^3$He-B, that q=alpha/(1-alpha')<1, where alpha and alpha' are mutual friction parameters. The authors argued that this condition…

Condensed Matter · Physics 2007-05-23 K. L. Henderson , C. F. Barenghi

The point vortex system is a system of longstanding interest in nonlinear dynamics, describing the motion of a two-dimensional inviscid fluid that is irrotational except at a discrete set of moving point vortices, at which the vorticity…

Fluid Dynamics · Physics 2022-11-01 Roy H. Goodman , Brandon M. Behring

Standing wave patterns that arise on the surface of ferrofluids by (single frequency) parametric forcing with an ac magnetic field are investigated experimentally. Depending on the frequency and amplitude of the forcing, the system exhibits…

Soft Condensed Matter · Physics 2009-10-31 Hyun-Jae Pi , So-yeon Park , Jysoo Lee , Kyoung J. Lee