Problem set 3
This week's exercises are about the microcanonical ensemble and thermodynamics.
The exercises are 3.1, 3.2, 3.5 ,3.7, 3.9 and 3.11 from Sethna's book.
Answers can be found here.
![](https://www.uio.no/studier/emner/matnat/fys/FYS4130/v12/exercise-blog/blog-images/ensembles.gif)
Illustration of the three most important ensembles in statistical mechanics. (Figure taken from B. Veytsman and M. Kotelyanskii)
Publisert 3. feb. 2012 13:54
- Sist endret 10. feb. 2012 12:25
For exercise 3.5, the relation $ln(1-x) \approx -x$, valid for $x\ll 1$ is useful. It holds both ways, i.e. it can be used both to expand the logarithm and to recombine terms as logarithms.
In exercise 3.11 b) there appears to be a sign error in the definition of $P(S,V,N)$. Equation (3.36) should be used in its place.
Answers to problem set 3 have been posted.
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