Hydrodynamics of rotating superfluids. I. Zero-temperature, nondissipative theory

Journal Article · Sat Jan 01 04:00:00 EST 1983 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00681839· OSTI ID:6078360

Baym, G; Chandler, E

This is the first in a series of papers in which we develop the complete hydrodynamics of rotating superfluid /sup 4/He, and other superfluids with scalar order parameters, taking into account the elasticity effects of the vortex lattice. The theory is capable of describing the long-wavelength Tkachenko shear waves exhibited by the vortices, as well as all phenomena contained in the usual Bekarevich-Khalatnikov hydrodyanamics. In this paper we develop the basic theory, ignoring the normal component of the fluid. The conserved energy, written in terms of macroscopically averaged superfluid and vortexline velocities, includes an elastic energy associated with shear, compressional, and line-bending deformations of the vortex array. Equations of motion for three-dimensional flow, consistent with the conservation laws for mass, energy, and vorticity, are derived; and Tkachenko modes with line bending, as well as inertial modes associated with the small vortex effective mass, are investigated. In the second paper of this series we extend this description to finite temperatures, to include dynamics of the normal fluid and dissipative effects.

• Research Organization: Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois
• OSTI ID: 6078360
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 50:1; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
EVEN-EVEN NUCLEI
FLUID MECHANICS
FLUIDS
HELIUM 4
HELIUM II
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
LIGHT NUCLEI
MECHANICS
MOTION
NUCLEI
ORDER PARAMETERS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FLUIDS
ROTATION
STABLE ISOTOPES
SUPERFLUIDITY
VORTICES