Quantized vortex dynamics and superfluid turbulence

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Publication date: 11 October 2001

Published in: Lecture Notes in Physics (Search for Journal in Brave)

Quantized vortex dynamics Superfluid turbulence

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to fluid mechanics (76-06) Proceedings, conferences, collections, etc. pertaining to statistical mechanics (82-06)

Related Items (49)

Unconditional \(L^{\infty }\)-convergence of two compact conservative finite difference schemes for the nonlinear Schrödinger equation in multi-dimensions ⋮ Invariant manifolds of traveling waves of the 3D Gross-Pitaevskii equation in the energy space ⋮ Hydrodynamics of superfluid quantum space: particle of spin-1/2 in a magnetic field ⋮ Nonlinear phenomena in degenerate quantum gases ⋮ \(K\)-\(\epsilon\)-\(L\) model in turbulent superfluid helium ⋮ Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Effective thermal conductivity of superfluid helium: laminar, turbulent and ballistic regimes ⋮ Inhomogeneous vortex tangles in counterflow superfluid turbulence: flow in convergent channels ⋮ Dynamics of rotating Bose-Einstein condensates probed by Bragg scattering ⋮ Wave propagation in anisotropic turbulent superfluids ⋮ Wave–vortex interactions in the nonlinear Schrödinger equation ⋮ A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation ⋮ Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks ⋮ Splitting of doubly quantized vortices in holographic superfluid of finite temperature ⋮ A mathematical analysis of the intermediate behaviour of the energy cascades of quantum turbulence ⋮ Reliability of the time splitting Fourier method for singular solutions in quantum fluids ⋮ Hydrodynamic equations of anisotropic, polarized and inhomogeneous superfluid vortex tangles ⋮ Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation ⋮ Non-equilibrium thermodynamics, heat transport and thermal waves in laminar and turbulent superfluid helium ⋮ Separation scaling for viscous vortex reconnection ⋮ Relativistic vortex dynamics in axisymmetric stationary perfect fluid configuration ⋮ Two-fluid hydrodynamics of superfluid \(^4\mathrm{He}\): GENERIC formulation ⋮ Extended thermodynamics of polymers and superfluids ⋮ Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for nonlinear Schrödinger type equations ⋮ Coupling of heat flux and vortex polarization in superfluid helium ⋮ Transition to ballistic regime for heat transport in helium II ⋮ Non-equilibrium temperature of well-developed quantum turbulence ⋮ Critical angular velocity for vortex lines formation ⋮ Effective thermal conductivity of helium II: From Landau to Gorter-Mellink regimes ⋮ Nonequilibrium effective temperature of superfluid vortex tangle ⋮ Is the Reynolds number infinite in superfluid turbulence? ⋮ Hydrodynamical model of anisotropic, polarized turbulent superfluids. I: Constraints for the fluxes ⋮ A mathematical model of counterflow superfluid turbulence describing heat waves and vortex-density waves ⋮ Helicity conservation and twisted Seifert surfaces for superfluid vortices ⋮ A variational approach to relativistic superfluid vortex elasticity ⋮ Effective temperature and scaling laws of polarized quantum vortex bundles ⋮ Relativistic fluid dynamics: physics for many different scales ⋮ Superfluid Couette flow in an enclosed annulus ⋮ Dynamics of superfluid \(^{4}\)He: two-scale approach ⋮ Non-equilibrium thermodynamics analysis of rotating counterflow superfluid turbulence ⋮ Heat rectification in He II counterflow in radial geometries ⋮ Global regularity of the 2D HVBK equations ⋮ Thermodynamic approach to vortex production and diffusion in inhomogeneous superfluid turbulence ⋮ Classical and quantum turbulence ⋮ Onsager and the theory of hydrodynamic turbulence ⋮ Longitudinal counterflow in turbulent liquid helium: velocity profile of the normal component ⋮ From Coherent Modes to Turbulence and Granulation of Trapped Gases ⋮ Disordered vortex arrays in a two-dimensional condensate ⋮ Waves on a vortex filament: exact solutions of dynamical equations

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