Critique of current theories of Akhieser damping in solids

Harrison H Barrett, M. G. Holland

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

There are two widely used theories of ultrasonic attenuation in the Akhieser (1) regime. Woodruff and Ehrenreich used the Boltzmann equation and found that the attenuation was a function of the specific heat of the thermal phonons. Mason and Bateman obtained the fundamentally different result that the attenuation also involved the thermal energy. It is shown here that the Mason-Bateman theory contains both mathematical and conceptual errors and that its apparent agreement with experimental data on Si and Ge is fortuitous.

Original languageEnglish (US)
Pages (from-to)2538-2544
Number of pages7
JournalPhysical Review B
Volume1
Issue number6
DOIs
StatePublished - 1970
Externally publishedYes

Fingerprint

Boltzmann equation
Phonons
Thermal energy
Specific heat
Damping
Ultrasonics
damping
attenuation
thermal energy
phonons
ultrasonics
specific heat
Hot Temperature

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Critique of current theories of Akhieser damping in solids. / Barrett, Harrison H; Holland, M. G.

In: Physical Review B, Vol. 1, No. 6, 1970, p. 2538-2544.

Research output: Contribution to journalArticle

Barrett, Harrison H ; Holland, M. G. / Critique of current theories of Akhieser damping in solids. In: Physical Review B. 1970 ; Vol. 1, No. 6. pp. 2538-2544.
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