Relativistic hydrodynamics of a superfluid

Journal Article · Mon Nov 01 04:00:00 EST 1982 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:5375345

Lebedev, V V; Khalatnikov, I M

We consider a relativistic generalization of the phenomenology describing a superfluid. Thermodynamic identities are derived for the pressure and energy density. A variational principle is constructed from which the nondissipative two-velocity equations of relativistic hydrodynamics can be derived. The equations are also expressed in Hamiltonian form. An expression for the energy-momentum tensor is found. The dissipative terms in the hydrodynamic equations are discussed. The low-velocity and zero-temperature limits are considered in detail. In the latter limit the equations for a rotating relativistic superfluid are derived and the normal modes of the vortex lattice are discussed. It is shown how to generalize the equations to the presence of a gravitational field. An application of the formalism to neutron stars is discussed.

• Research Organization: L. D. Landau Institute for Theoretical Physics of the USSR Academy of Sciences, Moscow
• OSTI ID: 5375345
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 56:5; ISSN SPHJA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ENERGY DENSITY
ENERGY RANGE
ENERGY-MOMENTUM TENSOR
FLUID MECHANICS
GRAVITATIONAL FIELDS
HAMILTONIANS
HYDRODYNAMICS
MATHEMATICAL OPERATORS
MECHANICS
NEUTRON STARS
QUANTUM OPERATORS
RELATIVISTIC RANGE
STARS
SUPERFLUIDITY
TENSORS
VARIATIONAL METHODS