Hydrodynamics of rotating superfluids

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1981

OSTI ID:6049087

Chandler, E A

In this thesis, a coarse grained hydrodynamics is developed from the exact description of Tkachenko. To account for the dynamics of the vortex lattice, the macroscopic vortex displacement field is treated as an independent degree of freedom. The conserved energy is written in terms of the coarse-grained normal fluid, superfluid, and vortex velocities and includes an elastic energy associated with deformations of the vortex lattice. Equations of motion consistent with the conservation of energy, entropy and vorticity and containing mutual friction terms arising from microscopic interactions between normal fluid excitations and the vortex lines are derived. When the vortex velocity is eliminated from the damping terms, this system of equations becomes essentially that of BK with added elastic terms in the momentum stress tensor and energy current. The dispersion relation and damping of the first and second sound modes and the two transverse modes sustained by the system are investigated. It is shown that mutual friction mixes the transverse modes of the normal and superfluid components and damps the transverse mode associated with the relative velocity of these components, making this wave evanescent in the plane perpendicular to the rotation axis. The wave associated with transverse motion of the total mass current is a generalized Tkachenko mode, whose dispersion relation reduces to that derived by Tkachenko wave when the wavevector lies in this plane.

• Research Organization: Illinois Univ., Urbana (USA)
• OSTI ID: 6049087
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DAMPING
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELEMENTS
EQUATIONS
EQUATIONS OF MOTION
FLUID FLOW
FLUID MECHANICS
FLUIDS
GASES
HELIUM
HYDRODYNAMICS
MECHANICS
MOTION
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
RARE GASES
ROTATION
SUPERFLUIDITY
ULTRALOW TEMPERATURE
VORTEX FLOW
WAVE PROPAGATION