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Prog. Theor. Phys. Vol. 39 No. 3 (1968) pp. 593-600
Lattice Vibration of a Linear Chain with Long-Range Interaction
Kazushige Ishii
Department of Physics, Kyoto University, Kyoto
(Received September 21, 1967)
Abstract:
Effects of long-range harmonic interaction on the localized model, resonance mode and the long-time statistical behavior of a monatomic linear chain which contains an isotopic impurity are investigated. It is shown that the condition for the appearance of the localized mode is not essentially affected by the long-range character of interaction, but the resonance mode and the long-time statistical behavior show some properties different from those obtained using a nearest-neighbor-interaction model.
URL :
http://ptp.ipap.jp/link?PTP/39/593/
DOI : 10.1143/PTP.39.593
References:
- See for example, A. A. Maradudin, E. W. Montroll and G. H. Weiss, Theory of Lattice Dynamics in the Harmonic Approximation (Academic Press, New York, 1963), Chapter 5.
- I. M. Lifshitz, J. Phys. 7 (1943), 215; ibid. 7 (1943), 249; ibid. 8 (1944), 89.
See also E. W. Montroll and R. B. Potts, Phys. Rev. 100 (1955), 525[APS].
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R. Rubin, J. Math. Phys. 1 (1960), 309[CrossRef];
ibid. 2 (1961), 307[AIP Scitation].
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R. Brout and W. M. Vissher, Phys. Rev. Lett. 9 (1962), 54[APS].
Y. M. Kagan and Y. A. Iosilevskii, Sov. Phys. -JETP 15 (1962), 182.
S. Takeno, Prog. Theor. Phys. 29 (1963), 191[PTP].
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P. Mazur and E. Braun, Physica 30 (1964), 1973[CrossRef].
G. W. Ford, M. Kac and P. Mazur, J. Math. Phys. 6 (1965), 504[CrossRef].
- H. Nakazawa, Prog. Theor. Phys. Suppl. No. 36 (1966), 172[PTP].
