PHZ3400 Phonons

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Law of Dulong and Pettit: failure of classical physics

$C_{v}={\frac {\partial \epsilon (T)}{\partial T}}=3nk_{B}$

-This is wrong at low temperatures

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

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