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Physical Sciences and Mathematics
Missouri University of Science and Technology
<p>Lattice dynamics<br />Thermodynamics -- Mathematical models<br />Spectrum analysis</p>
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Dynamics Of Disordered Harmonic Lattices, Daniel N. Payton Iii
Dynamics Of Disordered Harmonic Lattices, Daniel N. Payton Iii
Doctoral Dissertations
"Extensive numerical and analytic studies of vibrational spectra, normal modes, thermodynamic properties, and dynamical properties of harmonic systems with varying degrees of substitutional disorder have been made. The effects on observable properties of random mixtures of two or more species of atoms with differing masses and differing couplings to nearest-and next-nearest-neighbors have been investigated. Using the IBM-7030 digital computer, spectra for linear chains of 100,000 atoms have been obtained. Calculations in two and three dimensions have been limited to arrays of approximately 1000 atoms. Varying composition, mass ratio, and order affect the spectra in two and three dimensions in ways …