- #1
Euclid
- 214
- 0
Is it possible to obtain the relation
[tex] S = \log Z + \langle U \rangle /T[/tex]
directly from the Boltzmann distribution?
Edit: It seems that we can if we use the VN entropy:
[tex] S = -\Sigma p_i \log p_i [/tex]
This suggests that the entropy of a single microstate should be
[tex] s = -\log( \frac{e^{-\epsilon \beta}}{Z})[/tex]
Is there some way to justify this last formula?
[tex] S = \log Z + \langle U \rangle /T[/tex]
directly from the Boltzmann distribution?
Edit: It seems that we can if we use the VN entropy:
[tex] S = -\Sigma p_i \log p_i [/tex]
This suggests that the entropy of a single microstate should be
[tex] s = -\log( \frac{e^{-\epsilon \beta}}{Z})[/tex]
Is there some way to justify this last formula?
Last edited: