Vortex oscillations and hydrodynamics of rotating superfluids

Journal Article · Thu Jan 01 04:00:00 EST 1987 · Rev. Mod. Phys.; (United States)

DOI:https://doi.org/10.1103/RevModPhys.59.87· OSTI ID:7076660

Sonin, E B

This review covers the progress in the study of vortex oscillations in rotating superfluids. The paper deals with the theory as its principal concern, but the experiments that one can compare with the theory considered are also discussed. Attention is focused mainly on the effects of crystalline order in the vortex lattice (the Tkachenko waves especially) and on the boundary problems arising in studies of vortex oscillations in finite containers. The approach is based mostly on the continuum hydrodynamic theory dealing with dense vortex arrays, and considerable attention is devoted to discussion of this theory in order to understand better the principles upon which the obtained results rest. The theory is traced from the simple description of a rotating classical fluid with continuous vorticity, through that of a perfect fluid with quantized vorticity in the form of an array of vortex lines, then the two-fluid theory of an isotropic superfluid, and finally the theory of rotating anisotropic superfluids such as /sup 3/He-A. Applications of the theory to He II, the superfluid phases of /sup 3/He, and the superfluid neutron matter in pulsars are discussed.

• Research Organization: A. F. Ioffe Physical Technical Institute, Academy of Sciences of the Union of Soviet Socialist Republics, Leningrad 194021, Union of Soviet Socialist Republics
• OSTI ID: 7076660
• Journal Information: Rev. Mod. Phys.; (United States), Journal Name: Rev. Mod. Phys.; (United States) Vol. 59:1; ISSN RMPHA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
COSMIC RADIO SOURCES
DIFFERENTIAL EQUATIONS
DOCUMENT TYPES
EQUATIONS
EQUATIONS OF MOTION
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FLUID FLOW
FLUID MECHANICS
FLUIDS
HELIUM 3
HELIUM 3 A
HELIUM 4
HELIUM II
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
LIGHT NUCLEI
MATTER
MECHANICS
MOTION
NUCLEAR MATTER
NUCLEI
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PULSARS
QUANTUM FLUIDS
REVIEWS
ROTATION
STABLE ISOTOPES
SUPERFLUIDITY
VORTEX FLOW