A variational approach to relativistic superfluid vortex elasticity
arXiv:1912.03976 · doi:10.1088/1361-6382/ab79d7
Abstract
It is well known that a superfluid rotates by forming an array of quantized vortices. A relativistic formulation for superfluid vortex dynamics is required for a range of problems in astrophysics and cosmology, from neutron star interiors and radio pulsar glitches to possible dark matter condensates on galactic scales. This paper develops a formalism for such systems, extending the well-established variational approach to relativistic fluids to account for the presence of a collection of quantized vortices. The model is firmly anchored in the geometry of the problem (drawing on aspects from basic string dynamics) and accounts for elastic aspects associated with a vortex array, providing a precise foundation for applications which have so far been based on somewhat ad hoc phenomenology.
29 pages, RevTeX preprint format, 1 figure
References in corpus (14)
- Relativistic Fluid Dynamics: Physics for Many Different Scales
- Observation of Tkachenko Oscillations in Rapidly Rotating Bose-Einstein Condensates
- Mutual Friction in Superfluid Neutron Stars
- Vortex lattices in rapidly rotating Bose-Einstein condensates: modes and correlation functions
- Tkachenko modes as sources of quasiperiodic pulsar spin variations
- Dissipative String Fluids
- Tkachenko waves
- The dynamics of neutron star crusts: Lagrangian perturbation theory for a relativistic superfluid-elastic system
- Tkachenko modes in rotating neutron stars: the effect of compressibility and implications for pulsar timing noise
- Tkachenko modes and structural phase transitions of the vortex lattice of a two component Bose-Einstein condensate
- Quantised vortices and mutual friction in relativistic superfluids
- Tkachenko waves, glitches and precession in neutron star
- String Fluid in Local Equilibrium
- Field Theory for Perfect String Fluids