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GR8677 #51
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Statistical Mechanics$\Rightarrow$}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 mattress---a 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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danielsw98667
2019-10-21 06:43:43
3N oscillators - Phonons for Debye - A different version. Armor Services Roofing
casseverhart13
2019-10-07 03:44:16
First-class problem it is really. remodeling
fredluis
2019-09-17 01:54:27
does it depend on interger or fractional quantum hall effects? tree removal
ernest21
2019-08-23 02:02:31
This question is classical in nature. cartoon wars 3
849444209
2013-10-16 06:43:31

 Cambs012016-09-14 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.
 godkun2017-04-03 19:31:06 你是傻逼吗？儿子？
 zengwl172062017-09-08 22:42:01 You\'d better delete the comment.
 tommy222222019-10-13 04:23:36 I dont see any problem with 849444209\'s comments. This website is intended for audiences from all over the world. If he chooses to make a remark in a language which he feels comfortable with, there is no problem with it. Not disturbing at all from my perspective.
Pumpkin
2010-04-03 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
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.
 kronotsky2018-10-23 04:23:24 In classical regimes, equipartition of energy.
 danielsw986672019-10-21 06:49:41 The accurate model of phonons is I think Debye. B. altera " target="_blank">http://www.directics.com/altera/\">altera
Altair
2005-11-11 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!
 yosun2005-11-11 14:21:06 altair: here's another bit of irreverent trivia---Einstein's $1/3$-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 $T^3$ law for low temperatures).

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