Dynamics of Quantised Vortices in Superfluids

A comprehensive overview of the basic principles of vortex dynamics in superfluids, this book addresses the problems of vortex dynamics in all three superfluids available in laboratories (4He, 3He, and BEC of cold atoms) alongside discussions of the elasticity of vortices, forces on vortices, and vortex mass. Beginning with a summary of classical hydrodynamics, the book guides the reader through examinations of vortex dynamics from large scales to the microscopic scale. Topics such as vortex arrays in rotating superfluids, bound states in vortex cores and interaction of vortices with quasiparticles are discussed. The final chapter of the book considers implications of vortex dynamics to superfluid turbulence using simple scaling and symmetry arguments. Written from a unified point of view that avoids complicated mathematical approaches, this text is ideal for students and researchers working with vortex dynamics in superfluids, superconductors, magnetically ordered materials, neutron stars and cosmological models.1. Hydrodynamics of a one-component classical fluid; 2. Dynamics of a single vortex line; 3. Vortex array in a rotating superfluid: elasticity and macroscopic hydrodynamics; 4. Oscillation of finite vortex arrays. Two-dimensional boundary problems; 5. Vortex oscillations in finite rotating containers. Three-dimensional boundary problems; 6. Vortex dynamics in two-fluid hydrodynamics; 7. Boundary problems in two-fluid hydrodynamics; 8. Mutual friction; 9. Mutual friction and vortex mass in Fermi superfluids; 10. Vortex dynamics and hydrodynamics of a chiral superfluid; 11. Nucleation of vortices; 12. Berezinskii-Kosterlitz-Thouless theory and vortex dynamics in thin films; 13. Vortex dynamics in lattice superfluids; 14. Elements of theory of quantum turbulence; Index.