Vortex depinning in a two-dimensional superfluid
arXiv:2311.06664 · doi:10.1007/s10909-024-03064-7
Abstract
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 value, the vortex drifts orthogonally to the flow before subsequently moving parallel to it away from the pinning site. The motion of the vortex around the pinning site is also accompanied by an emission of a spiral-shaped sound pulse. Through simulations, we present a phase diagram of the critical flow velocity for vortex depinning together with an empirical formula that illustrates how the critical velocity increases with the height and width of the pinning site. By employing a variety of choices of initial and boundary conditions, we are able to obtain lower and upper bounds on the critical velocity and demonstrate the robustness of these results.
References in corpus (12)
- Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Axion dark matter, solitons, and the cusp-core problem
- Inverse Energy Cascade in Forced 2D Quantum Turbulence
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- Identifying a superfluid Reynolds number via dynamical similarity
- Unpinning triggers for superfluid vortex avalanches
- The stochastic projected Gross-Pitaevskii equation
- Stability of interlinked neutron vortex and proton flux tube arrays in a neutron star: equilibrium configurations
- Stability of interlinked neutron vortex and proton flux tube arrays in a neutron star. II. Far-from-equilibrium dynamics
- Collective, glitch-like vortex motion in a neutron star with an annular pinning barrier
- Topological defect dynamics of vortex lattices in Bose--Einstein condensates
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