PHZ3400 Phonons: Difference between revisions

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<math>C_{v} = \frac{\partial \epsilon (T)}{\partial T} = 3nk_{B}</math>
<math>C_{v} = \frac{\partial \epsilon (T)}{\partial T} = 3nk_{B}</math>


-This is wrong at low temperatures
-Works fine at high temperature, but at low temperature the quantum mechanical nature of the material dominates. The Debye model gives the correct interpretation at low temperature.


==Quantization of sound waves: phonons==
==Quantization of sound waves: phonons==

Revision as of 09:15, 20 March 2009

Law of Dulong and Pettit: failure of classical physics

-Works fine at high temperature, but at low temperature the quantum mechanical nature of the material dominates. The Debye model gives the correct interpretation at low temperature.

Quantization of sound waves: phonons

Bose-Einstein distribution

Classical limit

Thermodynamics of phonons

Low T specific heat

Debye model

Planck distribution and the black-body radiation law

Experimental probes of phonons