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Up: Probabilities of Macroscopic States. Previous: Partition Function and Free

Quiz

1.
For some system the dependence of the probability of micro-state $\Prob(E)$ on energy was obtained for different temperatures:
\begin{figure*}
 \InputIfFileExists{prob.pstex_t}{}{}
 \end{figure*}
Check all statements that apply:
(a)
T1>T2>T3
(b)
T3>T2>T1
(c)
T2>T1
(d)
T3>0
(e)
T3<0

2.
Using equation (5), prove that $\sqrt{\left\langle (x-
 \overline{x})^2\right\rangle} /x \sim 1/\sqrt{V}$. What happens with fluctuations in the thermodynamic limit?


© 1997 Boris Veytsman and Michael Kotelyanskii
Thu Sep 4 21:28:23 EDT 1997