Question

QUESTION 1 continued! When discussing the statistical physics treatment of phonons (lattice vibrations) in solids, we talked about two early models of the vibrational density of states which were used to try to explain the observed low temperature behavior of the lattice heat capacity $C_v(T)$. These were the Einstein Model (discussed in Ch. 7) & the Debye Model (Discussed in Ch. 10). Modern computers allow the (in principle) exact numerical calculation of $C_v(T)$, however, both models are still useful today to help to understand the Physics behind the low temperature behavior of $C_v(T)$. c. Briefly Discuss the Physics underlying the Einstein Model. What is the primary assumption that this model makes about the behavior of the phonon frequencies as a function of wave vector? d. Briefly Discuss the Physics underlying the Debye Model. What is the primary assumption that this model makes about the behavior of the phonon frequencies as a function of wave vector? Briefly contrast this with the assumption made in the Einstein Model.

          QUESTION 1 continued!
When discussing the statistical physics treatment of phonons (lattice vibrations) in solids, we talked
about two early models of the vibrational density of states which were used to try to explain the observed
low temperature behavior of the lattice heat capacity $C_v(T)$. These were the Einstein Model (discussed
in Ch. 7) & the Debye Model (Discussed in Ch. 10). Modern computers allow the (in principle) exact
numerical calculation of $C_v(T)$, however, both models are still useful today to help to understand the
Physics behind the low temperature behavior of $C_v(T)$.
c. Briefly Discuss the Physics underlying the Einstein Model. What is the primary assumption that
this model makes about the behavior of the phonon frequencies as a function of wave vector?
d. Briefly Discuss the Physics underlying the Debye Model. What is the primary assumption that this
model makes about the behavior of the phonon frequencies as a function of wave vector? Briefly
contrast this with the assumption made in the Einstein Model.

QUESTION 1 continued!
When discussing the statistical physics treatment of phonons (lattice vibrations) in solids, we talked
about two early models of the vibrational density of states which were used to try to explain the observed
low temperature behavior of the lattice heat capacity Cv(T). These were the Einstein Model (discussed
in Ch. 7) the Debye Model (Discussed in Ch. 10). Modern computers allow the (in principle) exact
numerical calculation of Cv(T), however, both models are still useful today to help to understand the
Physics behind the low temperature behavior of Cv(T).
c. Briefly Discuss the Physics underlying the Einstein Model. What is the primary assumption that
this model makes about the behavior of the phonon frequencies as a function of wave vector?
d. Briefly Discuss the Physics underlying the Debye Model. What is the primary assumption that this
model makes about the behavior of the phonon frequencies as a function of wave vector? Briefly
contrast this with the assumption made in the Einstein Model.

Added by Jennifer M.

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