Statistical-mechanical study of ultrasonic waves in a crystal lattice

Elastic waves with audio or ultrasonic frequencies propagating in a crystal lattice at a finite temperature are studied from the viewpoint of nonequilibrium statistical mechanics. In order to demonstrate the essential principle of the present approach, a simple system, that is, a one-dimensional anh...

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Bibliographic Details
Published in:Japanese Journal of Applied Physics 1993-05, Vol.32 (5B), p.2202-2205
Main Authors: SUGIYAMA, M, KIKKAWA, H, MIZUNO, K
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Mechanical and acoustical properties of condensed matter
Mechanical and elastic waves, vibrations
Physics
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Summary:Elastic waves with audio or ultrasonic frequencies propagating in a crystal lattice at a finite temperature are studied from the viewpoint of nonequilibrium statistical mechanics. In order to demonstrate the essential principle of the present approach, a simple system, that is, a one-dimensional anharmonic lattice is studied in detail. The dispersion relation for the wave and the relationship between random thermal motion in a crystal lattice and collective motion of an elastic wave are obtained. Singular behaviour of ultrasonic waves in a crystal near its melting point is also discussed.
ISSN:0021-4922
1347-4065
DOI:10.1143/jjap.32.2202