Show that for a system in the grand canonical ensemble [ {overline{(N E)}-bar{N} bar{E}}=left(frac{partial U}{partial N}ight)_{T, V}

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Show that for a system in the grand canonical ensemble

\[
\{\overline{(N E)}-\bar{N} \bar{E}\}=\left(\frac{\partial U}{\partial N}ight)_{T, V} \overline{(\Delta N)^{2}}
\]

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Statistical Mechanics

ISBN: 9780123821881

3rd Edition

Authors: Paul D. Beale

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Question Posted: Mar 16, 2024 07:01 AM

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Show that for a system in the grand canonical ensemble [ {overline{(N E)}-bar{N} bar{E}}=left(frac{partial U}{partial N}ight)_{T, V}

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From eqn 451 we get leftfracpartial barNpartial betaightalpha VoverlineN EbarN ...View the full answer

Statistical Mechanics

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