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U = 4N k, [ dr A) Show that the total energy of the phonons is given by temperature of this system and the total number of atoms in N solids. Obtain an expression for *T e -1 Here TD is the Debye TD.

U = 4N k, [ dr A) Show that the total energy of the phonons is given by temperature of this system and the total number of atoms in N solids. Obtain an expression for *T e -1 Here TD is the Debye TD.

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Consider phonons in a two-dimensional solid at temperature T. In the Debye approximation, the energy of the phonons is given by ɛ=pci. Where cs is the velocity of sound in the solid and p is the magnitude of the momentum vector (p =hn:/2L Where i = x, y are components). Phonons have two (2) polarizations.
Transcribed Image Text:Consider phonons in a two-dimensional solid at temperature T. In the Debye approximation, the energy of the phonons is given by ɛ=pci. Where cs is the velocity of sound in the solid and p is the magnitude of the momentum vector (p =hn:/2L Where i = x, y are components). Phonons have two (2) polarizations.
U = 4 N k, dx e* -1 Here Tp is the Debye A) Show that the total energy of the phonons is given by temperature of this system and the total number of atoms in N solids. Obtain an expression for Т.
Transcribed Image Text:U = 4 N k, dx e* -1 Here Tp is the Debye A) Show that the total energy of the phonons is given by temperature of this system and the total number of atoms in N solids. Obtain an expression for Т.
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