Localization of Acoustic Vibrational Modes
in a Chain-Type Lattice

A. P. Zhernov^1, * and E. P. Chulkin²

¹ Russian Research Centre Kurchatov Institute , Moscow, 123182 Russia

² Physicotechnical Institute, Ural Division, Russian Academy of Sciences, Izhevsk, 426001 Russia

*e-mail: zhernov@isssph.kiae.ru

Received June 17, 1999

Abstract—The problem of weak localization of acoustic phonon modes in a nonideal chain-type crystal lattice
is studied. An expression is obtained for the diffusion coefficient tensor D. The role of the back coherent scat-
tering processes is investigated. It is established that on account of such processes a substantial renormalization
of the diffusion coefficient D can occur in the relatively low-frequency range, where the dispersion laws for
phonon modes exhibit quasi-one-dimensional properties. © 2000 MAIK “Nauka/Interperiodica”.

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