GR8677 #51


Problem



Statistical Mechanics}Specific Heat
Both Debye and Einstein assumed that there are 3N oscillators. (In fact, one can argue that the core of condensed matter begins with the assumption that a continuum piece of matter is basically a tiny mattressa bunch of springs laden together.) Answer is thus (B).
However, Einstein was too lazy, and he decided that all 3N oscillators have the same frequency. Debye assigned a spectrum of frequencies (phonons).


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Comments 
849444209 20131016 06:43:31  嗯，爱因斯坦太懒了
Cambs01 20160914 15:38:22 
I wonder why you have to make this comment which is not related to the question. I assume everyone is encouraged to use English on this website. (btw I am Chinese too.

godkun 20170403 19:31:06 
你是傻逼吗？儿子？

zengwl17206 20170908 22:42:01 
You\'d better delete the comment.

  Pumpkin 20100403 18:46:09  What I'm concerning is 'independent' harmonic
oscillators  In Debye theory of solid, H.O.s are
not independent and that actually makes difference
as you guys arleady referred.
Of course it specified 'vibrational energy', so still
the nearest choice may be (B), but I don't think
it is nice and smooth problem.
kronotsky 20181023 04:23:24 
In classical regimes, equipartition of energy.

  Altair 20051111 09:07:25  "Einstein was too lazy" is an amazing comment! Although it is almost offensive :) the result is sure: I'll never forget Einstein decided that the oscillators have the same frequency!
yosun 20051111 14:21:06 
altair: here's another bit of irreverent triviaEinstein's arsed theory did not produce the right specific heat for low temperatures, and thus deBye's theory, which gave the right resulst for both low and high temperatures, prevailed (recall the law for low temperatures).

 

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