
| Preface 1 Background on classical hydrodynamics 1.1 Equations of motion。potential flow and vorticity 1.2 Creation of vorticity in classical viscous flow 1.3 vortices 1.4 Rotating fluids 1.4.1 Equations of motion in a rotating frame,Rossby and Ekman numbers 1.4.2 Spin-up 1.5 Laboratory generation of thin line vortices 1.6 Dynamics of classical vortex rings and the localized induction approximation 1.7 WaYeS on vortex lines and rings:stability of VOrtices 1.7.1 Helical waves of constant amplitude 1.7.2 Solitary kink waves 1.7.3 Instability of paralleI vortices 1.8 B6nard convection and Taylor-Couette flow 1.9 Brownian motion and escape over barriers 2 Background on liquid helium II 2.1 The two.fluid model 2.2 Elementary excitations in helium II 2.3 First ideas about quantized circulation and vortices 2.3.1 Onsager’S quantization of circulation 2.3.2 Feynman VOrtices 2.4 Early experimental evidence for quantized vortices and circulation 2.4.1 Minimization of free energy 2.4.2 Second sound and quantized vortices.Mutual friction 2.4.3 Experiments on quantized circulation 2.4.4 Vortex-free rotation of the superfluid 2.5 Ions and vortices:evidence for quantized vortex rings and lines 2.5.1 Experiments on quantized vortex rings 2.5.2 Experiments on quantized vortex lines 2.6 Rotation of an annulus 2.7 vortex waves 2.8 Quantum mechanics and superfluidity.Phase slip 2.8.1 11he Bose gas 2.8.2 The Bose condensate 2.8.3 The Madelung transformation 2.8.4 Ginzburg—Pitaevskii theory 2.8.5 Phase slip 3 Vortex dynamics and mutual friction 3.1 Vortex dynamics 3.2 Uniformly rotating helium II 3.3 Frequency and velocity dependence of B and B Temperature dependence of the coefficients of mutual friction 3.4 Microscopic form of mutual friction and the Iordanskii force 3.5 111e lifetime and range of vortex rings 3.6 Axial mutual friction,the vortex.free strip and metastability 4 The structure of quantized vortices 4.1 Vortex rings in helium II 4.2 Vortex rings in a Bose condensate 4.3 The bound excitation model 4.4 The Hills..Roberts theory 4.5 Interactions of ions and of vortices 4.6 The mobility of ions along vortices 4.7 He condensation onto vortex cores 5 Vortex arrays 5.1 Vortex arrays in a rotating bucket 5.2 Photographs of vortex arrays …… 6 Vortex waves 7 Superfluid turbulence 8 Thermal activation and nucleation of quantized vortices References Index |
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