A Phonon energy and atomic vibration energy

camilo
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When we say that a phonon vibration mode has an average energy <E> are we saying that all atoms (or harmonic oscillators) in a piece of matter (eg. a nanoparticle) will also has that energy, or that the piece of matter as a whole will have that energy ?
In the second case the amplitude of the oscillations of the atoms will be lower the bigger the piece of matter, for a constant <E>, I guess.

Thank you.
 
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The second option is correct and also your conclusion.
 
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