Abstract
A method has been derived to generate a structure of moments for frequency spectrum of a disordered crystal lattice with the use of digital computer. The moments are given by expressions containing mean values of powers of reciprocal masses of chain atoms or it is possible to directly carry out their evaluation. The derivation performed here for a linear chain is applicable even for more complex lattice types. Using the method described below, the structure of moments up to μ42 has been evaluated; numerically the moments up to μ50 have been evaluated. The values of μ22, μ24 and μ26 moments are given in appendix.
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References
Maradudin A. A., Mazur P., Montroll E. W., Weiss G. H.: Rev. Mod. Phys.30 (1958), 175.
Domb C., Maradudin A. A., Montroll E. W., Weiss G. H.: Phys. Rev.115 (1959), 18.
Bradley J.: Annals of Physics15 (1961), 411.
Litzman O., Klvaňa F.: Physica Status Solidi2 (1962), 42.
Deltour J.: Physica32 (1966), 762.
Deltour J.: Physica39 (1968), 424.
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Dvořák, S. Moment evaluation for linear chain. Czech J Phys 20, 1251–1260 (1970). https://doi.org/10.1007/BF01734712
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DOI: https://doi.org/10.1007/BF01734712