Quantized Vortex Dynamics and Superfluid Turbulence

Introduction to Superfluid Vortices and Turbulence....Pages 3-14
An Introduction to Experiments on Superfluid Turbulence....Pages 17-35
The Experimental Evidence for Vortex Nucleation in 4 He....Pages 36-50
Applications of Superfluid Helium in Large-Scale Superconducting Systems....Pages 51-65
The Temperature Dependent Drag Crisis on a Sphere in Flowing Helium II....Pages 66-72
Experiments on Quantized Turbulence at mK Temperatures....Pages 73-79
Grid-Generated He II Turbulence in a Finite Channel - Experiment....Pages 80-86
Intermittent Switching Between Turbulent and Potential Flow Around a Sphere in He II at mK Temperatures....Pages 87-94
Vortex Filament Methods for Superfluids....Pages 97-113
Introduction to HVBK Dynamics....Pages 114-130
Magnus Force, Aharonov-Bohm Effect, and Berry Phase in Superfluids....Pages 131-137
Using the HVBK Model to Investigate the Couette Flow of Helium II....Pages 138-145
An Introduction to the Theory of Superfluid Turbulence....Pages 149-161
Numerical Methods for Coupled Normal-Fluid and Superfluid Flows in Helium II....Pages 162-176
From Vortex Reconnections to Quantum Turbulence....Pages 177-183
Vortices and Stability in Superfluid Boundary Layers....Pages 184-190
Grid Generated He II Turbulence in a Finite Channel—Theoretical Interpretation....Pages 191-197
Vortex Tangle Dynamics Without Mutual Friction in Superfluid 4 He....Pages 198-204
Applications of the Gaussian Model of the Vortex Tangle in the Superfluid Turbulent He II....Pages 205-211
Stochastic Dynamics of a Vortex Loop. Thermal Equilibrium....Pages 212-218
Stochastic Dynamics of a Vortex Loop. Large-Scale Stirring Force....Pages 219-225
Nonequilibrium Vortex Dynamics in Superfluid Phase Transitions and Superfluid Turbulence....Pages 226-232
The Nonlinear Schrödinger Equation as a Model of Superfluidity....Pages 235-257
Vortex Nucleation and Limit Speed for a Flow Passing Nonlinearly Around a Disk in the Nonlinear Schrödinger Equation....Pages 258-267
Vortices in Nonlocal Condensate Models of Superfluid Helium....Pages 268-275
Ginzburg-Landau Description of Vortex Nucleation in a Rotating Superfluid....Pages 276-282
Weak Turbulence Theory for the Gross-Pitaevskii Equation....Pages 283-289
Dissipative Vortex Dynamics and Magnus Force....Pages 290-296
Transition to Dissipation in Two- and Three-Dimensional Superflows....Pages 297-304
Motion of Objects Through Dilute Bose-Einstein Condensates....Pages 307-319
Stability of a Vortex in a Rotating Trapped Bose-Einstein Condensate * ....Pages 320-326
Kinetics of Strongly Non-equilibrium Bose-Einstein Condensation....Pages 327-333
Quantum Nucleation of Phase Slips in Bose—Einstein Condensates....Pages 334-341
Vortex Reconnection in Normal and Superfluids....Pages 345-357
Helicity in Hydro and MHD Reconnection....Pages 358-365
Tropicity and Complexity Measures for Vortex Tangles....Pages 366-372
The Geometry of Magnetic and Vortex Reconnection....Pages 373-380
Current-Sheet Formation near a Hyperbolic Magnetic Neutral Line....Pages 381-388
Nonlocality in Turbulence....Pages 389-395
Quantized Vorticity in Superfluid 3 He-A: Structure and Dynamics....Pages 399-420
Vortices in Metastable 4 He Films....Pages 421-427
Quantum Hall E.ect Breakdown Steps and Possible Analogies with Classical and Super.uid Hydrodynamics....Pages 428-437
Atomic Bose Condensate with a Spin Structure: The Use of Bloch State....Pages 438-444
Quantum Dynamics of Vortex-Antivortex Pairs in a Circular Box....Pages 445-452