Frequency dependence of mutual friction in rotating He II

Journal Article · Sun Aug 01 04:00:00 EDT 1982 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.26.1233· OSTI ID:7062326

Mathieu, P; Simon, Y

Interaction of a second-sound wave with vortices in rotating He II results in an extra-attenuation of the wave and a small decrease ..delta..u/sub 2/ of the velocity of second sound. We report accurate measurements, at 1.9 K, of both effects as functions of the angular velocity ..cap omega.. and the second-sound frequency ..omega... A resonator, whose fundamental mode was near 50 Hz, was specially designed for this work, with the purpose of extending the frequency range commonly used. As suggested by Mehl, the velocity decrease ..delta..u/sub 2/ has been interpreted in terms of an imaginary part of a complex mutual-friction parameter B = B/sub 1/+iB/sub 2/. Thus, our measurements have consisted in determining the frequency dependence (at 1.9 K) of Brand B/sub 2/. Just as previously pointed out by Mehl et al., in connection with their own data B/sub 2/ vs T, it is found that the detailed predictions of the theory of Hall and Vinen, in spite of the crude approximations contained in it, fit surprisingly well our experimental data Band B/sub 2/ vs ..omega... We have recently published a hydrodynamic theory of mutual friction which provides an alternate explanation of our experimental results. The latter theory was originally inspired by the present work, which conversely gives experimental evidence of its validity.

• Research Organization: Groupe de Physique des Solides de l'Ecole Normale Superieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
• OSTI ID: 7062326
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 26:3; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATTENUATION
EVEN-EVEN NUCLEI
FLUID MECHANICS
FLUIDS
FREQUENCY DEPENDENCE
FRICTION
HELIUM 4
HELIUM II
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
LIGHT NUCLEI
MECHANICS
MOTION
NUCLEI
QUANTUM FLUIDS
ROTATION
SECOND SOUND
STABLE ISOTOPES
ULTRALOW TEMPERATURE
VORTICES