Summary
A study is made of the absorption of acoustic waves in metals considering the interaction of the motion of the ions of the crystal with the plasma formed by the conduction electrons. The attenuation of the sound waves is expressed in terms of the imaginary part of the dielectric constant for longitudinal waves and of the imaginary part of of the magnetic permeability for transverse waves. Expressions for both situations are found. They agree with the results obtained byPippard.
Riassunto
Si studia l’assorbimento delle onde sonore nei metalli tenendo conto dell’interazione del moto degli ioni del oristallo col plasma formato dagli elettroni di conduzione. L’attenuazione delle onde sonore è espressa per le onde longitudinal! in funzione della parte immaginaria della costante dielettrica e per le onde trasversali in funzione della parte immaginaria della permeabilità magnetica. Si trovano le espressioni per entrambi i casi. Ease concordano con i risultati ottenuti daPippard.
Similar content being viewed by others
References
H. E. Bömmell:Phys. Rev.,96, 220 (1954).
L. MacKinnon:Phys. Rev.,98, 1181 (1955);98, 1210 (1955);100, 655 (1955).
R. W. Morse:Phys. Rev.,97, 1716 (1955);C. Kittel:Acta Met.,3, 295 (1955). See alsoW. P. Mason:Phys. Rev.,97, 557 (1955).
A. B. Pippard:Phil. Mag.,46, 1104 (1955);T. Holstein:Phys. Rev.,113, 479 (1959);E. I. Blount:Phys. Rev.,114, 418 (1959);N. Takimoto:Prog. Theor. Phys.,25, 327 (1961) (see also ref. (3)).
M. H. Cohen, M. J. Harrison andW. A. Harbison:Phys. Rev.,117, 937 1960).
J. Lindhakd:Kgl. Dan. Viden. Mat-Fys. Medd.,28, no. 8 (1954).
O. Klein:Ark. J. Mat., Ast. och Fys., A 31, no. 12 (1944); see alsoM. R. Schafroth:Helv. Phys. Acta,24, 645 (1951).
See for exampleC. Kittel:Elementary Statistical Physics (New York, 1958), pp. 107–110.
D. Bohm andT. Staver:Phys. Rev.,84, 836 (1952). See alsoD. Pines: inSolid State Physics, edited byF. Seitz andD. Turnbull (New York, 1955), vol.I, pp. 441–445;J. J. Quinn: inThe Fermi Surface, edited byW. A. Harbison andM. B. Webb (New York, 1960), pp. 58–66.
Author information
Authors and Affiliations
Additional information
Supported in part by the U.S. Atomic Energy Commission.
Rights and permissions
About this article
Cite this article
Rodriguez, S., Tharmalingam, K. Absorption of phonons by an electron gas. Nuovo Cim 26, 43–52 (1962). https://doi.org/10.1007/BF02754341
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02754341