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https://hdl.handle.net/2142/23983
Description
Title
Propagation of zero sound in liquid He3
Author(s)
Abel, William Russell
Issue Date
1966
Doctoral Committee Chair(s)
Wheatley, J.C.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
sound propagation
zero sound
liquid He3
Curi-law magnetic susceptibility
Language
en
Abstract
The propagation of sound in liquid He3 was observed at a pressure
of 0.32 atm and at fre~quencies of 15.4 and 45.5 MHz down to a temperao
0 -3 0 . ture T* of 2m K (1m K = 10 K) on the temperature scale va11d for
the Curie-law magnetic susceptibility of powdered cerium magnesium
nitrate in the form of a right circular cylinder with diameter equal
to height. The results of the measurements have been published by the
author, A. C. Anderson, and J. C. Wheatley. * As the temperature was
increased, the sound attenuation increased, went through a max.imum,
and then decreased. At low temperatures, the attenuation was proportional
to T~,(2 but independent of frequency, and at higher temperatures
it was proportional to W
2/T*2, where w is the angular frequency of the
sound. The temperature at which max.imum attenuation occurred was
o 0 11.3m K for the frequency of 15.4 MHz and was 19.3m K for 45.5 MHz.
The velocity of the sound was found to be relatively temperature
independent at high and low temperatures but near the attenuation
maximum the velocity changed by 3.5 ± 0.3 percent. The results of the
measurements are predicted by the Landau theory of a Fermi liquid,
the velocity change and the temperature dependence of the attenuation
coefficient at low temperatures being explained by the propagation of
a new mode of sound, called zero sound. The velocity change is in
quantitative agreement with the theory. The attenuation of zero
sound is about 35% larger than that predicted by theory, but could
be explained by a shorter collision time between quasiparticles in
the zero sound regime, The frequency and temperature dependence of
the attenuation coefficient at higher temperatures are those predicted
for ordinary hydrodynamic sound.
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