Solid State Physics 2013: Debye model: average phonon energy at low T

Solid State Physics 2013
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Debye model: average phonon energy at low T

Posted by Will S on May 30, 2013, 7:25 pm

I am doing the second question on 2006 paper and got stuck with showing the average phonon energy at low T is a linear function of temperature.

So the average phonon energy = total energy (i.e. the expression we differentiate to find heat capacity) divided by the total number of phonons?

total number of phonons is integral of g(omega) x bose factor

Is that right?

I'm a bit confused as I am not getting the right T dependence and also there is the zero point energy in the total energy?

I think I'm doing it wrong. Is that the right expression for the total number of phonons?

Thanks

Message Thread

Debye model: average phonon energy at low T - Will S May 30, 2013, 7:25 pm
- Re: Debye model: average phonon energy at low T - Will S May 30, 2013, 7:30 pm
  - Re: Debye model: average phonon energy at low T - Steve Simon May 30, 2013, 8:53 pm
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