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In the framework of generalized, nonlocal Gross-Pitaevskii (GP) model, we study numerically the pressure- and size-dependent mechanisms of roton emission and vortex nucleation by objects moving in superfluid $^4$He. As far as the authors…

Quantum Gases · Physics 2026-05-26 Nicolás Pablo Müller , Ladislav Skrbek , Yuri A. Sergeev , Giorgio Krstulovic

We study the motion of an electron bubble in the zero temperature limit where neither phonons nor rotons provide a significant contribution to the drag exerted on an ion moving within the superfluid. By using the Gross-Clark model, in which…

Other Condensed Matter · Physics 2018-03-21 Alberto Villois , Hayder Salman

We employ the Gross--Pitaevskii theory to model a quantized vortex depinning from a small obstacle in a two-dimensional superfluid due to an imposed background superfluid flow. We find that, when the flow's velocity exceeds a critical…

Quantum Gases · Physics 2024-06-24 I-Kang Liu , Srivatsa B. Prasad , Andrew W. Baggaley , Carlo F. Barenghi , Toby S. Wood

We study the reconnection of vortices in a quantum fluid with a roton minimum, by numerically solving the Gross-Pitaevskii (GP) equations. A non-local interaction potential is introduced to mimic the experimental dispersion relation of…

Fluid Dynamics · Physics 2018-11-12 Jason Reneuve , Julien Salort , Laurent Chevillard

We investigate analytically and numerically the dynamics of a two-dimensional superflow governed by the Gross-Pitaevskii equation passing over finite-size rectangular obstacles: an impenetrable wall and an impenetrable rectangular well.…

Quantum Gases · Physics 2026-02-24 Thomas Frisch , Christophe Josserand , Sergio Rica

Landau's two-fluid model of superfluidity ceases to apply in regions where the condensate amplitude exhibits rapid spatial variation, such as vortex cores or in the vicinity of container walls. A recently proposed relativistic…

Nuclear Theory · Physics 2025-12-19 Lorenzo Gavassino , Alexander Soloviev

In this work we study the process of depinning of a quantum of circulation trapped inside a disk by an applied two dimensional superflow. We use the Gross-Pitaevskii model to describe the neutral superfluid. The collective coordinate…

Superconductivity · Physics 2009-11-07 Jose A. Freire

Vortex structures in dilute quantum fluids are studied using the Gross-Pitaevskii equation. The velocity and momentum of multiply quantized vortex rings are determined and their core structures analysed. For flow past a spherical object, we…

Condensed Matter · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

The problem of critical velocities in superfluids, that is the comprehension of superfluidity breakdown by flow, has been long standing. One difficulty stems from the existence of several breakdown mechanisms. A major advance has come from…

Other Condensed Matter · Physics 2009-11-11 E. Varoquaux

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 simulations of the Gross-Pitaevskii equation reveal that the sharpest…

Other Condensed Matter · Physics 2017-04-05 G. W. Stagg , N. G. Parker , C. F. Barenghi

We study theoretically the critical velocity $U_c$ for quantum vortex generation by a thin plate-shaped obstacle moving through a uniform Bose-Einstein condensate. Our results based on the Gross-Pitaevskii theory reveal that the critical…

Quantum Gases · Physics 2024-12-11 Haruya Kokubo , Kenichi Kasamatsu , Hiromitsu Takeuchi

I study the dynamics of a superfluid vortex in a random potential, as in the inner crust of a neutron star. Below a critical flow velocity of the ambient superfluid, a vortex is effectively immobilized by lattice forces even in the limit of…

Astrophysics · Physics 2009-11-13 Bennett Link

A combination of analytical and numerical approaches obtains the complete dispersion curve for surface excitations in a condensate held in a plane linear potential. This improvement on previous approximate results yields an accurate formula…

Soft Condensed Matter · Physics 2009-11-07 J. R. Anglin

We analyze the motion of quantum vortices in a two-dimensional spinless superfluid within Popov's hydrodynamic description. In the long healing length limit (where a large number of particles are inside the vortex core) the superfluid…

Quantum Gases · Physics 2015-06-19 A. Klein , O. Agam , I. Aleiner

We theoretically study the critical speed for superfluid flow of a two-dimensional miscible binary superfluid of light past a polarization-sensitive optical obstacle. This speed corresponds to the maximum mean flow velocity below which…

Quantum Gases · Physics 2026-05-05 Pierre-Élie Larré , Claire Michel , Nicolas Cherroret

We determine in a nonperturbative way the critical velocity for superfluidity of a generic quantum fluid flowing past a localized obstacle in the one-dimensional mean-field regime. We get exact expressions in the narrow- and wide-obstacle…

Quantum Gases · Physics 2022-02-08 Juliette Huynh , Mathias Albert , Pierre-Élie Larré

We have measured the critical velocity v_c at which 3He-A in a rotating cylinder becomes unstable against the formation of quantized vortex lines with continuous (singularity-free) core structure. We find that v_c is distributed between a…

Soft Condensed Matter · Physics 2009-10-30 V. M. H. Ruutu , J. Kopu , M. Krusius , Ü. Parts , B. Placais , E. V. Thuneberg , W. Xu

The general local, nondissipative equations of motion for a quantized vortex moving in an uncharged laboratory superfluid are derived from a relativistic, co-ordinate invariant framework, having vortices as its elementary objects in the…

Condensed Matter · Physics 2007-05-23 Uwe R. Fischer

We study the scattering of vortex rings by a superfluid line vortex using the Gross-Pitaevskii equation in a parameter regime where a hydrodynamic description based on a vortex filament approximation is applicable. By using a vortex…

Fluid Dynamics · Physics 2015-05-20 Alberto Villois , Hayder Salman , Davide Proment

We report on numerical solutions of the Gross-Pitaevskii equation for two-dimensional flow of a superfluid condensate through a small orifice. Above a critical velocity of about $30\%$ of the speed of sound, cavitation occurs in the throat…

Condensed Matter · Physics 2007-05-23 Ajit Srivastava , Michael Stone
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