Fermion-Phonon Interaction: The Attenuation of Sound in a Liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></m

Abraham, B. M.; Eckstein, Y.; Ketterson, J. B.; Vignos, James H.

doi:10.1103/physrevlett.17.1254

Cited by 72 publications

(11 citation statements)

References 8 publications

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“…1 Measurement of the attenuation of first sound at very low temperatures thus provides a direct measure of r • the attenuation calculated here agrees well with the recent measurements of Abraham, Eckstein, Ketterson, and Vignos. 2 At very low temperatures attenuation due to phonon-phonon scattering rapidly approaches zero. Also, since the Fermi velocity of the He 3 is always much smaller than the first-sound velocity, damping of sound by single-particle excitations from the Fermi sea is forbidden by energy conservation.…”

mentioning

confidence: 99%

Theory of First Sound in Dilute Solutions ofHe3inHe4at Very Low

Baym

1967

Phys. Rev. Lett.

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confidence: 99%

Theory of First Sound in Dilute Solutions ofHe3inHe4at Very Low

Baym

1967

Phys. Rev. Lett.

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“…where the operator matrix is R = (w -kv3-iI) -1 v~ =Oej/Opj is the quasiparticle velocity, e 3 =p~/2m~, the ket vector IV) is equal to In fact, the entire difficulty of the solution has been reduced to the calculation of the expression ~ = -( VL V) + ( VlRo~l V) entering in (5), which defines the velocity variation AC RetO-C0k C-Co~_6m p3+ l_l_ReY { (6) C Cok Co 2mi p4 2p4 and the sound absorption coefficient tO oq = Im k ---Im Y{ (7) 2p4C For further calculations, it is necessary to write the collision integrals /jk explicitly.…”

Section: Initial Equations First-sound Velocity and Absorptionmentioning

confidence: 99%

Sound and dissipation coefficients in the phonon-impurity system of 3He-4He solutions

et al. 1988

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The phonon-impurity system of dilute solutions of 3He in 4He is studied experimentally and theoretically using an acoustic technique. The sound velocity and absorption measurements make it possible to identify the theoretically predicted new mechanism of phonon relaxation with anomalous dispersion in the presence of impurities. A kinetic problem for arbitrary frequencies is solved, which also enables us to obtain all the dissipation coefficients of the solutions and to explain the experimental data on second-sound absorption, thermal conductivity, and heat pulse propagation. The relation is considered between relaxation processes in a phonon-impurity system and the phonon spectrum dispersion in 3He-4He solutions.

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“…One of the characteristic features of liquid solutions of 3 He- 4 He is the presence of a first-order phase transition, phase separation, as a result of which the liquid separates into a lighter concentrated phase that is rich in 3 He and a dilute superfluid phase that is rich in 4 He. As T→0 the phase separation curve tends not to zero values of the concentration but to a finite solubility x 0 Ϸ6.7% 3 He.…”

Section: Introductionmentioning

confidence: 99%

“…As T→0 the phase separation curve tends not to zero values of the concentration but to a finite solubility x 0 Ϸ6.7% 3 He. This means that at very low temperatures and xϽx 0 the 3 He- 4 He solution is a homogeneous quantum liquid comprising a solution of a normal Fermi liquid in a superfluid Bose liquid. The properties of such a system have been described in detail in several monographs.…”

Section: Introductionmentioning

confidence: 99%

“…This means that at very low temperatures and xϽx 0 the 3 He- 4 He solution is a homogeneous quantum liquid comprising a solution of a normal Fermi liquid in a superfluid Bose liquid. 1,2 The kinetic properties of Fermi-Bose quantum liquids ͑degenerate solutions of 3 He in 4 He͒ are governed by processes of interaction between elementary excitations, among which the Fermi excitations-3 He quasiparticles-play the leading role at low temperatures. 1,2 The kinetic properties of Fermi-Bose quantum liquids ͑degenerate solutions of 3 He in 4 He͒ are governed by processes of interaction between elementary excitations, among which the Fermi excitations-3 He quasiparticles-play the leading role at low temperatures.…”

Section: Introductionmentioning

confidence: 99%

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Concentration dependence of the attenuation of first sound in supersaturated superfluid He3–4He solutions under pressure

Zadorozhko

Kalko

Rudavskiı̆

et al. 2002

Low Temperature Physics

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Third sound and stability of 3He-4He mixture films AIP Conf.Propagation of fourth sound in a solution of two superfluid liquids taking the drag effect into account Low Temp.The concentration dependence of the attenuation coefficient of first sound in superfluid 3 He-4 He solutions in the saturation and supersaturation regions is investigated experimentally at pressures of 0-10 atm. An original technique of continuous variation of the concentration in situ by variation of the osmotic and thermomechanical pressures is used, permitting measurements to be made in the long-lived metastable phase of the superfluid solutions. It is shown that the data obtained are described well in terms of the theory of sound propagation in a gas of Fermi excitations without taking the Fermi-liquid corrections into account. The corresponding values of the effective mass and relaxation time of 3 He quasiparticles are taken from an analysis of the existing experimental data. Within the experimental error, no excess sound attenuation was found in the region of supersaturated solutions.

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Fermion-Phonon Interaction: The Attenuation of Sound in a LiquidHe3-He4

Cited by 72 publications

References 8 publications

Theory of First Sound in Dilute Solutions ofHe3inHe4at Very Low

Theory of First Sound in Dilute Solutions ofHe3inHe4at Very Low

Sound and dissipation coefficients in the phonon-impurity system of 3He-4He solutions

Concentration dependence of the attenuation of first sound in supersaturated superfluid He3–4He solutions under pressure

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