ULTRASONIC ATTENUATION IN LIQUID HELIUM

Journal Article · Thu Nov 01 04:00:00 EST 1962 · Progr. Theoret. Phys. (Kyoto)

DOI:https://doi.org/10.1143/PTP.28.784· OSTI ID:4700771

Kawasaki, K; Mori, H

The atienuation of the first sound in helium II, expressed in terms of the time fluctuation of the force acting on the relevant normal coordinate, is studied from the quantumhydrodynamical point of view, and is shown to serve for determining the effective interaction between phonons at low temperatures. The attenuation constant calculated is in quantitative agreement with the observed values by Chase and Herlin at a frequency of 12 Mc/sec in the temperature region below about 0.8 deg K, where Khalatnikov's theory does not work at all. Below 0.4 deg K, the dependence of the attenuation constant on temperature and frequency is the same as that obtained previously by several authors. The effective interaction here obtained is not quite the same as that obtained with the use of the so-called quantum hydrodynamics. This situation may be analogous to that encountered in determining the effective interaction responsible for the damping of ferromagnetic spin waves. Since the hydrodynamical treatment of the sound wave cannot be applied in the region of interest and the nature of the sound wave is not yet completely clear, both adiabatic and isothermal cases are investigated, and it is shown that the isothermal description is better for treating the sound attenuation below about 0.8 deg K. (auth)

• Research Organization: Kyoto Univ.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-011415
• OSTI ID: 4700771
• Journal Information: Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Vol. Vol: 28
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ADIABATIC PROCESSES
ALLOTROPY
FREQUENCY
HELIUM
HELIUM 4
HELIUM II
INTERACTIONS
LIQUIDS
LOSSES
LOW TEMPERATURE
PHONONS
PHYSICS
QUANTUM MECHANICS
SOUND
THERMODYNAMICS
ULTRASONICS
VARIATIONS