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Phonon Dispersion Treatment of the Thermodynamic and Physical Properties of Vitreous and Disordered Solids (Paperback)
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Phonon Dispersion Treatment of the Thermodynamic and Physical Properties of Vitreous and Disordered Solids (Paperback)
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This volume is the study of the physical, thermal and structural
properties of disordered solids such as glasses. These solids are
usually referred to as amorphous or vitreous materials. The
properties of these disordered solids are very different from
similar ordered solids and the study of their properties has been
limited by the lack of a suitable model. The Debye model neglects
the effect of frequency on phase velocity by assuming a constant
phase velocity in spite of quite different velocities of
longitudinal and transverse acoustical waves and assumes a common
cut-off frequency for them. Barber and Martin have developed a
function for the lattice heat capacities of isotropic solids that
permits estimates to be made of acoustic cut-off frequencies and
corresponding wavelengths. The function, referred to as the Phonon
Dispersion Model, is superior to the model of Debye. Meanwhile,
transition from supercooled fluids to amorphous or vitreous solids
continues to be one of the most difficult, yet fascinating,
challenges of our time. Binder and Kob have provided a recent
update focusing on the statistical mechanics of the glass
transition and amorphous state of materials. This volume combines
the Phonon Dispersion Model of Barber and the rigor of statistical
mechanics to enhance the understanding of the physical, thermal and
structural properties, as well as the nature of interactive forces
in vitreous and disordered solids. The Phonon Dispersion Model has
been successfully applied to the temperature-heat capacity data of
primitive lattice metals, single and polycrystalline copper,
diamond, vitreous and crystalline alkali di-, tri- and
tetra-silicates, quartz and minerals.
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