Statistical Mechanics · Problem 4.12

Formulation of Quantum Statistics — R. K. Pathria

Physics — Statistical Mechanics · grand-canonical-cross-fluctuation

Problem

Show that for a system in the grand canonical ensemble

\overline{(\overline{NE}) - \bar{N}\,\bar{E}} = \left(\frac{\partial U}{\partial N}\right)_{T,V} \overline{(\Delta N)^2}.