Relativistic formulation of the Hall-Vinen-Bekarevich-Khalatnikov superfluid hydrodynamics
arXiv:1601.07732 · doi:10.1103/PhysRevD.93.064033
Abstract
The relativistic analogue of the Hall-Vinen-Bekarevich-Khalatnikov (HVBK) hydrodynamics is derived making use of the phenomenological method similar to that used by Bekarevich and Khalatnikov [1] in their derivation of HVBK-hydrodynamics. The resulting equations describe a finite-temperature superfluid liquid with the distributed vorticity. The main dissipative effects, including mutual friction, are taken into account. The proposed hydrodynamics is needed for reliable modeling of the dynamical properties of superfluid neutron stars.
23 pages, accepted to PRD, minor changes to match accepted version
References in corpus (8)
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- Bulk viscosity of superfluid neutron stars
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- Evolution of the magnetic field in neutron stars
- On the magnetic field evolution timescale in superconducting neutron star cores
- Multifluid Modelling of Relativistic Radiation Hydrodynamics
- Relativistic finite temperature multifluid hydrodynamics in a neutron star from a variational principle
- Dissipative relativistic magnetohydrodynamics of a multicomponent mixture and its application to neutron stars
- Insights into the physics of neutron star interiors from pulsar glitches
- Temperature-dependent r-modes in superfluid neutron stars stratified by muons
- Quantised vortices and mutual friction in relativistic superfluids
- Superfluid dynamics in neutron star crusts: the Iordanskii force and chemical gauge covariance
- Instability windows of relativistic r-modes
- Temperature-dependent oscillation modes in rotating superfluid neutron stars
- Diffusion in superfluid Fermi mixtures: General formalism
- A multifluid perspective on multimessenger modelling
- Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices
- Thermodynamic stability of superflows in General Relativity and Newtonian gravity
- Extending Israel and Stewart hydrodynamics to relativistic superfluids via Carter's multifluid approach