Statistical Mechanics · Problem 4.1

Formulation of Quantum Statistics — R. K. Pathria

Physics — Statistical Mechanics · grand-canonical-ensemble-entropy

Problem

Show that the entropy of a system in the grand canonical ensemble can be written as

S = -k\sum_{r,s} P_{r,s} \ln P_{r,s},

where

P_{r,s}

is given by eqn. (4.1.9).