Mutual friction and vortex motion near the superfluid transition

Journal Article · Wed Jun 01 04:00:00 EDT 1983 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00683231· OSTI ID:5889251

Onuki, A

The mutual friction parameters B and B' for a moving vortex are calculated near the superfluid transition. They are proportional to the kinetic coefficient associated with the order parameter and, as T..-->..T/sub lambda/, diverge as (T/sub lambda/-T)/sup -1/3/, in agreement with experiment. The nonlinear couplings between the order parameter psi and the entropy m, both the reversible one and the one in the free energy, are found to be crucial in the mutual friction near the lambda point. These couplings were neglected in a previous paper by the author. First, the reversible coupling in the dynamic equations makes the chemical potential vortex core. Second, B' can diverge as T..-->..T/sub lambda/ only in the presence of the coupling of the form mVertical BarpsiVertical Bar/sup 2/ in the free energy. Thus the E model of Halperin et al., where the latter coupling is absent, cannot explain the critical anomaly of B'. The helical mode of a single vertex line is also investigated and its dispersion relation is found to be quite different from that at low tempeatures. This mode has the same time scale as that of the second-sound mode when the wave vectors are of the order of the inverse correlation length, thus obeying the usual dynamic scaling law. The time correlation functions of the displacement fluctuations of a vortex line are also obtained. The force acting on a moving vortex is calculated and is found to be equal to the classical Magnus force.

• Research Organization: Department of Physics, Kyushu University, Fukuoka, Japan
• OSTI ID: 5889251
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 51:5; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DISPERSION RELATIONS
ENERGY
ENTROPY
EVEN-EVEN NUCLEI
FLUID FLOW
FLUIDS
FREE ENERGY
FRICTION
GINZBURG-PITAEVSKII THEORY
HELIUM 4
HELIUM II
HELIUM ISOTOPES
INTERNAL FRICTION
ISOTOPES
LIGHT NUCLEI
NONLINEAR PROBLEMS
NUCLEI
ORDER PARAMETERS
PHYSICAL PROPERTIES
QUANTUM FLUIDS
SCALING LAWS
STABLE ISOTOPES
SUPERFLUIDITY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
VORTEX FLOW