Abstract
The low-temperature decay of a vibrational eigenstate of a crystalline mesoscopic particle surrounded by other such particles of approximately the same size is considered. The decay time is determined by the anharmonicity and the coupling between adjacent mesoscopic particles. Under some limiting conditions for particles of a typical size of 50 Å the decay time at low temperatures can be several milliseconds.
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References
A. A. Kaplyanskii et al., Opt. Spektrosk. 79, 709 (1995) [Opt. Spectrosc. 79, 653 (1995)].
J. Fricke (ed.), Aerogels, Vol. 6 of Springer Proceedings in Physics, Berlin: Springer, 1986.
T. Nakayama and K. Yakubo, Rev. Mod. Phys. 66, 381 (1994).
Amorphous Solids-Low Temperature Properties, Ed. W. A. Phillips, Berlin: Springer, 1981.
H. Lamb, Proc. Math. Soc. London 13, 187 (1882).
A. Tamura et al., J. Phys. C 15, 4975 (1982).
E. Duval, A. Boukenter, and B. Champagnon, Phys. Rev. Lett. 56, 2052 (1986).
W. Voigt, Ann. Phys. 33, 573 (1889).
A. Reuss, Z. Angew. Math. Mech. 9, 49 (1929).
R. Zeller and P. H. Dederichs, Phys. Status Solidi B 55, 831 (1973).
E. Courtens, J. Pelous, J. Phalippou et al., Phys. Rev. Lett. 58, 128 (1987).
A. A. Maradudin et al., Theory of Lattice Dynamics in the Harmonic Approximation, New York: Academic Press, 1971.
L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd Ed., New York-Oxford: Pergamon Press, 1986.
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Pis’ma Zh. Éksp. Teor. Fiz. 67, No. 1, 51–56 (10 January 1998)
Published in English in the original Russian journal. Edited by Steve Torstveit.