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The volatile transition from quiescent laminar to strongly fluctuating turbulent dynamics in shear flows remains only poorly understood despite its practical importance and more than a century of intense research. The theoretical…

Fluid Dynamics · Physics 2016-09-08 Alberto de Lozar , Bjoern Hof

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 study the instability of a mixture of two interacting counter-flowing superfluids. For a homogeneous system, we show that superfluid hydrodynamics leads to the existence of a dynamical instability at a critical value of the relative…

Quantum Gases · Physics 2015-06-11 M. Abad , A. Recati , S. Stringari , F. Chevy

Superfluidity, the ability of a liquid or gas to flow with zero viscosity, is one of the most remarkable implications of collective quantum coherence. In equilibrium systems like liquid 4He and ultracold atomic gases, superfluid behaviour…

Mesoscale and Nanoscale Physics · Physics 2015-09-18 A. C. Berceanu , L. Dominici , I. Carusotto , D. Ballarini , E. Cancellieri , G. Gigli , M. H. Szymanska , D. Sanvitto , F. M. Marchetti

The response of superfluids to the external rotation, evidenced by emergence of quantised vortices, distinguishes them from conventional fluids. In this work, we demonstrate that the number of vortices in a stirred polariton condensate…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 Ivan Gnusov , Stella Harrison , Sergey Alyatkin , Kirill Sitnik , Helgi Sigurdsson , Pavlos G. Lagoudakis

The transition to turbulence in Taylor-Couette flow often occurs via a sequence of supercritical bifurcations to progressively more complex, yet stable, flows. We describe a subcritical laminar-turbulent transition in the counter-rotating…

Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

Persistent circulation is a canonical effect of superfluidity. In previous experiments, quantized circulation has been observed in polariton condensates, usually far from equilibrium, but persistent current in the absence of any stirring…

We study the mathematical properties of time-dependent flows of incompressible fluids that respond as an Euler fluid until the modulus of the symmetric part of the velocity gradient exceeds a certain, a-priori given but arbitrarily large,…

Analysis of PDEs · Mathematics 2024-08-20 Miroslav Bulíček , Josef Málek

Using a numerical implementation of the truncated Wigner approximation, we simulate the experiment reported by Ramanathan et al. in Phys. Rev. Lett. 106, 130401 (2011), in which a Bose-Einstein condensate is created in a toroidal trap and…

Quantum Gases · Physics 2014-08-26 Amy C. Mathey , Charles W. Clark , L. Mathey

I present empirical evidence that turbulent flows are closely analogous to critical phenomena, from a reanalysis of friction factor measurements in rough pipes. The data collapse found here corresponds to Widom scaling near critical points,…

Statistical Mechanics · Physics 2009-11-11 Nigel Goldenfeld

We investigate the global transition from a turbulent state of superfluid vorticity to a laminar state, and vice versa, in the outer core of a neutron star. By solving numerically the hydrodynamic Hall-Vinen-Bekarevich-Khalatnikov equations…

Astrophysics · Physics 2008-11-26 C. Peralta , A. Melatos , M. Giacobello , A. Ooi

Analysis of the speed of propagation in parabolic operators is frequently carried out considering the minimal speed at which its traveling waves move. This value depends on the solution concept being considered. We analyze an extensive…

Analysis of PDEs · Mathematics 2022-07-14 Margarita Arias , Juan Campos

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

Although the critical Reynolds number for linear instability of the laminar flow in a straight pipe is infinite, we show that it is finite for a divergent pipe, and approaches infinity as the inverse of the divergence angle. The velocity…

Fluid Dynamics · Physics 2021-01-29 Kirti Chandra Sahu , Rama Govindarajan

We explore the nature of the Bose condensation transition in driven open quantum systems, such as exciton-polariton condensates. Using a functional renormalization group approach formulated in the Keldysh framework, we characterize the…

Quantum Gases · Physics 2013-05-17 L. M. Sieberer , S. D. Huber , E. Altman , S. Diehl

The energy gradient theory is used to study the instability of Taylor-Couette flow between concentric rotating cylinders. This theory has been proposed in our previous works. In our previous studies, the energy gradient theory was…

Fluid Dynamics · Physics 2010-07-13 Hua-Shu Dou , Boo Cheong Khoo , Koon Seng Yeo

Semiconductor microcavity polaritons in the optical parametric scattering regime have been recently demonstrated to display a new variety of dissipationless superfluid behaviour. We report the first observation in resonantly pumped exciton…

We calculate the critical power for collapse of linearly-polarized phase vortices, and show that this expression is more accurate than previous results. Unlike the non-vortex case, deviations from radial symmetry do not increase the…

Optics · Physics 2009-11-13 Gadi Fibich , Nir Gavish

Exciton-polaritons constitute a unique realization of a quantum fluid interacting with its environment. Using Selenide based microcavities, we exploit this feature to warm up a polariton condensate in a controlled way and monitor its…

Quantum Gases · Physics 2018-01-24 Sebastian Klembt , Petr Stepanov , Thorsten Klein , Anna Minguzzi , Maxime Richard