The relativistic hydrodynamics of a superfluid
Abstract
A relativistic generalization of the phenomenology describing a superfluid is considered. Thermodynamic identities for the pressure and energy density are obtained, and a variational principle making it possible to derive the nondissipative equations for two-velocity relativistic hydrodynamics is developed. These equations are also formulated in terms of Hamiltonians. An expression for the energy-momentum tensor is obtained, and the dissipative terms in the hydrodynamic equations are analyzed. Detailed consideration is given to the limits imposed by low velocities and zero temperature. With regard to the temperature limit, equations are derived for the case of a rotating relativistic superfluid, with attention given to thy natural oscillations of the eddy lattice. The way in which the derived equations are generalized in the presence of a gravitational field is demonstrated. The application of the formalism considered here to neutron stars is discussed.
- Publication:
-
Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki
- Pub Date:
- November 1982
- Bibcode:
- 1982ZhETF..83.1601L
- Keywords:
-
- Hydrodynamic Equations;
- Neutron Stars;
- Relativity;
- Rotating Fluids;
- Superfluidity;
- Energy Dissipation;
- Hamiltonian Functions;
- Phenomenology;
- Thermodynamics;
- Variational Principles;
- Astrophysics