A Guide to Physics Problems. Part 2. Thermodynamics, Statistical Physics, and Quantum Mechanics

212 SOLUTIONS

From (S.4.92.3)

and

SinceVis proportional to

The relativefluctuation isgiven by

4.93 Energy Fluctuation in Canonical Ensemble

(Colorado, Stony Brook)

Firstsolution: For a canonical ensemble:

where On the other hand,

Differentiating(S.4.93.2), we obtain

By inspecting (S.4.93.1)–(S.4.93.3), we find that

Now, the heat capacity at constant volume, is given by