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Boltzmann distribution derivation.

  1. Nov 14, 2015 #1

    please check the video at 5:33.

    how can we find the partial derivative w.r.t n1 n2 and on? isnt each state (n1, n2 and on) one discrete state not a continuous variable? is it because we can have multiple particles in the given energy state?

    However its a finite discrete number. as far as I know, derivative is defined on continuous(complete) functions.
  2. jcsd
  3. Nov 15, 2015 #2


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    Correct. But between 5:16 and 5:20 the transition from discrete to continuous is being made. The reason this can be done is that n is always large (and Stirling's formula is a good approximation)
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