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Consider a solid of N atoms in contact with ta heat reservoir in the temperature region where the Debye T3 law is valid.

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4. Consider a solid of \(N\) atoms in contact with ta heat reservoir in the temperature region where the Debye \(T^{3}\) law is valid. Show that the energy fluctuation is given by

$$ \frac{\left\langle E^{2}\right\rangle-\langle E\rangle^{2}}{\langle E\rangle^{2}} \approx \frac{0.07}{N}\left(\frac{\theta_{D}}{T}\right)^{3} $$

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