Abstract
This paper considers the effect of extended monopole and dipole strain fields on the low-frequency boundary of the phonon spectrum in a crystal of finite dimensions. The boundary shift depends on the dynamical volume of the nonuniform strain region, which is determined by the parameters of the crystal and the sources of stress. An increase in the volume of the deformed region leads to a decrease in the undistorted part of the crystal, where a phonon with the largest wavelength can be produced. A monopole strain field is more efficient in cutting off long-wave phonons than a dipole strain field, and can “soften” the phonon spectrum. If a source generates stresses of the order of those on an interatomic scale, these effects can be the strongest and most diverse in crystals or phase precipitates with dimensions of less than 10−26 cm.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. B. Brandt and S. M. Chudinov, Electronic Structure of Metals [in Russian], Moscow State University, Moscow (1973).
G. Leibfried and N. Brauer, Point Defects in Metals, Springer-Verlag, Heidelberg (1978).
A. M. Stoneham, Theory of Defects in Solids, Clarendon Press, Oxford (U.K.) (1975).
V. M. Svistunov, M. A. Belogolovskii, and A. N. D’yachenko, Usp. Fiz. Nauk 154, 153 (1988) [Sov. Phys. Usp. 31, 86 (1988)].
O. V. Klyavin, Physics of Crystal Plasticity at Helium Temperatures [in Russian], Nauka, Moscow (1987).
V. S. Boiko, R. I. Garber, and A. M. Kosevich, Reversable Plasticity of Materials [in Russian], Nauka, Moscow (1991).
L. D. Landau and E. M. Lifshitz, Theory of Elasticity, Pergamon Press, New York (1986).
H. Haken, Quantenfeldtheorie des Festkorpers [in German], B. G. Teubner, Stuttgart (1973).
V. V. Meshcheryakov, Fiz. Tverd. Tela (St. Petersburg) 37, 43 (1995) [Phys. Solid State 37, 20 (1995)].
I. M. Lifshits, S. A. Gredeskul, and L. A. Pastur, Introduction to Theory of Disordered Systems [in Russian], Nauka, Moscow (1982).
I. M. Lifshits, Zh. Éksp. Teor. Fiz. 17, 1076 (1947).
I. Ya. Polishchuk, A. P. Zhernov, and L. A. Maksimov, Zh. Éksp. Teor. Fiz. 94, 259 (1988).
G. Binnig, C. F. Quate, and Ch. Gerber, Phys. Rev. Lett. 56, 930 (1986).
A. M. Bratkovskii, I. E. Zein, Fiz. Tverd. Tela (Leningrad) 26, 2561 (1984) [Sov. Phys. Solid State 26, 1553 (1984)].
G. Jacucei and R. Taylor, J. Phys. F 9, 1487 (1979).
J. Dundurs, L. D. Marks, and P. M. Ajayan, Phil. Mag. A 57, 605 (1988).
S. M. Komarov, JETP Lett. 58, 553 (1993).
J.-O. Bovin, R. Wallenberg, and D. J. Smith, Nature 317, 47 (1985).
S. Iijima and T. Ichihashi, Phys. Rev. Lett. 56, 616 (1986).
L. D. Marks, P. M. Ajayan, and J. Dundurs, Ultramicroscopy 20, 78 (1986).
D. M. Farkas, T. Yamashita, and J. Perkins, Acta Met. Mat. 38, 1883 (1990).
A. Brause and R. Cowly, Structural Phase Transitions, Taylor and Francis, London (1981).
Yu. K. Favstov, Yu. N. Shul’ga, and A. G. Rakhshtadt, Material Properties of Highly Damping Alloys [in Russian], Metallurgiya, Moscow (1980).
É. L. Nagaev, Usp. Fiz. Nauk 162, 49 (1992) [Sov. Phys. Usp. 35, 747 (1992)].
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 111, 1845–1857 (May 1997)
Rights and permissions
About this article
Cite this article
Meshcheryakov, V.V. Cutoff of long-wave phonons in a nanocrystal due to a nonuniform strain field. J. Exp. Theor. Phys. 84, 1010–1015 (1997). https://doi.org/10.1134/1.558237
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1134/1.558237