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In this work, we generalize the two-fluid theory to a superfluid system with anisotropic effective masses along different principal axis directions. As a specific example, such a theory can be applied to spin-orbit coupled Bose-Einstein…

Quantum Gases · Physics 2019-04-26 Yi-Cai Zhang , Chao-Fei Liu , Bao Xu , Gang Chen , W. M. Liu

Peculiar dynamics of a free surface of the superfluid 4He has been observed experimentally with a newly established technique utilizing a number of electrically charged fine metal particles trapped electrically at the surface by Moroshkin…

Other Condensed Matter · Physics 2019-01-30 S. Inui , M. Tsubota , P. Moroshkin , P. Leiderer , K. Kono

One of the main features of superfluids is the presence of topological defects with quantised circulation. These objects are known as quantum vortices and exhibit a hydrodynamic behaviour. Nowadays, particles are the main experimental tool…

Fluid Dynamics · Physics 2019-03-21 Umberto Giuriato , Giorgio Krstulovic

A strongly interacting Fermi gas, such as that of cold atoms operative near a Feshbach resonance, is difficult to study by perturbative many-body theory to go beyond mean field approximation. Here I develop an effective field theory for the…

Other Condensed Matter · Physics 2007-05-23 W. Vincent Liu

The paper reviews some parts of classical potential theory with applications to two dimensional fluid dynamics, in particular vortex motion. Energy and forces within a system of point vortices are similar to those for point charges when the…

Complex Variables · Mathematics 2025-09-24 Björn Gustafsson

An inertial mass of a vortex can be calculated by driving it round in a circle with a steadily revolving pinning potential. We show that in the low frequency limit this gives precisely the same formula that was used by Baym and Chandler,…

Other Condensed Matter · Physics 2009-11-13 D. J. Thouless , J. R. Anglin

The semiclassical description of the dynamics of wave packets in periodic potentials and subject to an applied force relies on the concepts of effective mass and anomalous transport. This picture is valid if the force changes slowly in time…

Mesoscale and Nanoscale Physics · Physics 2014-11-11 Y. Fang , Federico Duque-Gomez , J. E. Sipe

We calculate the dynamic vortex mass for clean Fermi superfluids including both s- and d-wave superconductors as a response to a vortex acceleration. Assuming a finite quasiparticle mean free time, the vortex mass appears to be a tensor.…

Superconductivity · Physics 2009-10-31 N. B. Kopnin , V. M. Vinokur

When immersed into a fluid of active Brownian particles, passive bodies might start to undergo linear or angular directed motion depending on their shape. Here we exploit the divergence theorem to relate the forces responsible for this…

Soft Condensed Matter · Physics 2021-04-14 Thomas Speck , Ashreya Jayaram

Vortex mass is a key concept in the study of superfluid dynamics, referring to the inertia of vortices in a superfluid, which affects their motion and behavior. Despite being an important quantity, the vortex mass has never been observed…

Quantum Gases · Physics 2025-12-08 Lucas Levrouw , Hiromitsu Takeuchi , Jacques Tempere

Motivated by ongoing experimental efforts to make closed Bose-Einstein condensate (BEC) shells in microgravity environments, this work studies the energy and dynamics of singly quantized vortices on a thin spherical superfluid shell, where…

Quantum Gases · Physics 2022-02-15 Sálvio Jacob Bereta , Mônica A. Caracanhas , Alexander L. Fetter

We consider the inertial mass of a vortex in a superfluid. We obtain a vortex mass that is well defined and is determined microscopically and self-consistently by the elementary excitation energy of the kelvon quasiparticle localised within…

Quantum Gases · Physics 2018-02-14 Tapio Simula

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

Incompressible fluids on curved surfaces are considered with respect to the interplay between topology, geometry and fluid properties using a surface vorticity-stream function formulation, which is solved using parametric finite elements.…

Fluid Dynamics · Physics 2014-06-20 Sebastian Reuther , Axel Voigt

The forces on the vortex, transverse to its velocity, are considered. In addition to the superfluid Magnus force from the condensate (superfluid component), there are transverse forces from thermal quasiparticles and external fields…

Condensed Matter · Physics 2019-10-01 E. B. Sonin

Experimentalists use particles as tracers in liquid helium. The intrusive effects of particles on the dynamics of vortices remain poorly understood. We implement a study of how basic well understood vortex states, such as a propagating pair…

Quantum Gases · Physics 2019-09-25 Adam Griffin , Sergey Nazarenko , Vishwanath Shukla , Marc-Etienne Brachet

It is well known that a spinning body moving in a fluid suffers a force orthogonal to its velocity and rotation axis --- it is called the Magnus effect. Recent simulations of spinning black holes and (indirect) theoretical predictions,…

General Relativity and Quantum Cosmology · Physics 2018-07-27 L. Filipe O. Costa , Rita Franco , Vitor Cardoso

We carry out extensive direct numerical simulations (DNSs) to investigate the interaction of active particles and fields in the two-dimensional (2D) Gross-Pitaevskii (GP) superfluid, in both simple and turbulent flows. The particles are…

Quantum Gases · Physics 2018-01-31 Vishwanath Shukla , Rahul Pandit , Marc Brachet

The evolution of a turbulent tangle of quantum vortices in presence of finite-size active particles is studied by means of numerical simulations of the Gross-Pitaevskii equation. Particles are modeled as potentials depleting the superfluid…

Fluid Dynamics · Physics 2020-07-01 Umberto Giuriato , Giorgio Krstulovic

We discuss vortex-mediated mutual friction in the two-fluid model for superfluid neutron star cores. Our discussion is based on the general formalism developed by Carter and collaborators, which makes due distinction between transport…

Astrophysics · Physics 2009-11-13 N. Andersson , T. Sidery , G. L. Comer