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We numerically study the evolution of a small turbulent region of quantised vorticity in superfluid helium, a regime which can be realised in the laboratory. We show that the turbulence achieves a fluctuating steady-state in terms of…

Other Condensed Matter · Physics 2017-03-29 M. Mesgarnezhad , R. G. Cooper , A. W. Baggaley , C. F. Barenghi

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

Vorticity in turbulent flows is often organized into complex geometries that influence the dynamics. We use a relatively novel approach to describe these geometries: that of obtaining segments of vortex lines embedded in the flow. This…

Fluid Dynamics · Physics 2023-01-18 Saumav Kapoor , Rama Govindarajan , Siddhartha Mukherjee

The study of vortex flows around solid obstacles is of considerable interest from both a theoretical and practical perspective. One geometry that has attracted renewed attention recently is that of vortex flows past a circular cylinder…

Fluid Dynamics · Physics 2019-05-06 G. L. Vasconcelos , M. Moura

I study vortex ring oscillations in a superfluid, trapped in an elongated trap, under the conditions of the Local Density Approximation. On the basis of the Hamiltonian formalism I develop a hydrodynamic theory, which is valid for an…

Quantum Gases · Physics 2013-11-20 Lev P. Pitaevskii

Theoretical considerations are made of superfluid turbulence in the Kelvin wave cascade regime at low temperatures (T < 1K) and length scales of the order or smaller than the intervortical distance. The energy spectrum is shown to be in…

Other Condensed Matter · Physics 2017-12-07 Bhimsen Shivamoggi

Tunneling of vortex-antivortex pairs across a superconducting film can be controlled via inductive coupling of the film to an external circuit. We study this process numerically in a toroidal film (periodic boundary conditions in both…

Quantum Physics · Physics 2007-05-23 C. D. Bass , S. Khlebnikov

We consider a generic two-dimensional system of fermionic particles with attractive interactions and no disorder. If time-reversal symmetry is absent, it is possible to obtain incompressible insulating states in addition to the superfluid…

Superconductivity · Physics 2012-06-12 Predrag Nikolic

The decay of quantum vortex rings in counterflow regimes, visualized in Helium II with the help of solid hydrogen particles trapped to their cores, has been a puzzling issue within the usual description of superfluid vortex dynamics,…

Fluid Dynamics · Physics 2021-05-19 L. Moriconi

Vortex arrays in type-II superconductors admit the translational symmetry of an infinite system. There are cases, however, like ultra-cold trapped Fermi gases and the crust of neutron stars, where finite-size effects make it quite more…

Quantum Gases · Physics 2016-11-07 S. Simonucci , P. Pieri , G. C. Strinati

Over the last decade, substantial progress has been made in understanding the topology of quasi-2D non-equilibrium fluid flows driven by ATP-powered microtubules and microorganisms. By contrast, the topology of 3D active fluid flows still…

Fluid Dynamics · Physics 2025-02-03 Nicolas Romeo , Jonasz Slomka , Jorn Dunkel , Keaton J. Burns

Superfluid phase transitions are discussed from a geometrical perspective as envisaged by Onsager. The approach focuses on vortex loops which close to the critical temperature form a fluctuating vortex tangle. As the transition is…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

Superfluidity and superconductivity are remarkable manifestations of quantum coherence at a macroscopic scale. The dynamics of superfluids has dominated the study of these systems for decades now, but a comprehensive theoretical framework…

Quantum Gases · Physics 2011-08-19 Aurel Bulgac , Yuan-Lung , Luo , Piotr Magierski , Kenneth J. Roche , Yongle Yu

At low temperature T we expect vacuum tunneling processes to occur in superfluid $^{4}$ He films. We distinguish between extrinsic processes, in which single vortices nucleate by tunneling off boundaries in the system, and intrinsic…

Quantum Gases · Physics 2025-10-16 Michael J. Desrochers , Dominic Marchand , P. C. E. Stamp

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,…

We show that normal fluid eddies in turbulent helium II polarize the tangle of quantized vortex lines present in the flow, thus inducing superfluid vorticity patterns similar to the driving normal fluid eddies. We also show that the…

Condensed Matter · Physics 2009-11-07 Carlo F. Barenghi , Sarah Hulton , David C. Samuels

Rapid new developments have occurred in superfluid hydrodynamics since the discovery of a host of unusual phenomena which arise from the diverse structure and dynamics of quantized vortices in 3He superfluids. These have been studied in…

Superconductivity · Physics 2011-02-28 A. P. Finne , V. B. Eltsov , R. Hanninen , N. B. Kopnin , J. Kopu , M. Krusius , M. Tsubota , G. E. Volovik

Streamlines, vortex lines and magnetic flux tubes in turbulent fluids and plasmas display a great amount of coiling, twisting and linking, raising the question as to whether their topological complexity (continually created and destroyed by…

Fluid Dynamics · Physics 2019-07-09 R. G. Cooper , M. Mesgarnezhad , A. W. Baggaley , C. F. Barenghi

We study the stability region of the topological superfluid phase in a trapped two-dimensional polarized Fermi gas with spin-orbit coupling and across a BCS-BEC crossover. Due to the competition between polarization, pairing interaction and…

Quantum Gases · Physics 2015-03-19 J. Zhou , W. Zhang , W. Yi

The transition to turbulence in conduits is among the longest-standing problems in fluid mechanics. Challenges in producing or saving energy hinge on understanding promotion or suppression of turbulence. While a global picture based on an…

Fluid Dynamics · Physics 2023-05-23 Christopher J. Camobreco , Alban Pothérat , Gregory J. Sheard