Relativistic formulation of the Hall-Vinen-Bekarevich-Khalatnikov superfluid hydrodynamics

TL;DR

This paper develops a relativistic version of superfluid hydrodynamics incorporating vorticity and dissipation, crucial for modeling the dynamics of superfluid neutron stars.

Contribution

It introduces a relativistic formulation of HVBK superfluid hydrodynamics, including dissipative effects like mutual friction, for the first time.

Findings

Derived equations describe finite-temperature superfluid with vorticity

Includes main dissipative effects such as mutual friction

Applicable to modeling superfluid neutron star dynamics

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.