Hydrodynamics of defects in condensed media, using as examples vortices in rotating He II and disclinations in a planar magnet

Journal Article · Tue Jan 01 04:00:00 EST 1980 · Sov. Phys. - JETP (Engl. Transl.); (United States)

OSTI ID:5154069

Volovik, G E; Dotsenko, Jr, V S

The gauge-field formalism earlier by Dzyaloshinskii and Volovik (J. de Phys. 39, 693 (1978); Ann. Phys. (1980)) for the description of continual dynamics of defects in condensed media is developed further. The Poisson brackets for hydrodynamic variables such as gauge fields are obtained from an analysis of the dynamics of an isolated defect. They turn out to be different for fields describing distributed vortices in HeII and distributed disclinations in planar magnets. A complete system of hydrodynamic equations is obtained for a lattice of vortices in rotating HeII. The spectrum of the Tkachenko waves is obtained, with dissipation taken into account. A generalization of the equations obtained for planar magnets to include the case of nonplanar magnets with linear defects and spin glasses is proposed. The fourth spin-glass low-frequency mode due to defect motion is obtained.

• Research Organization: L. D. Landau Institute of Theoretical Physics, USSR Academy of Sciences
• OSTI ID: 5154069
• Journal Information: Sov. Phys. - JETP (Engl. Transl.); (United States), Journal Name: Sov. Phys. - JETP (Engl. Transl.); (United States) Vol. 51:1; ISSN SPHJA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONDENSATES
CRYSTAL DEFECTS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
EVEN-EVEN NUCLEI
FLUID MECHANICS
FLUIDS
HELIUM 4
HELIUM II
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
LAYERS
LIGHT NUCLEI
MAGNETS
MECHANICS
MOTION
NUCLEI
QUANTUM FLUIDS
ROTATION
SPIN GLASS STATE
STABLE ISOTOPES
VORTICES