Consider an ensemble of classical systems with each system made up of a large number of statistically independent subsystems, so a a Show that the entropy of the full ensemble is equal to the sum of the entropies of the sub ensembles a S a S a

Question: Consider an ensemble of classical systems with each system made up of a large number of statistically independent subsystems, so = a

Consider an ensemble of classical systems with each system made up of a large number of statistically independent subsystems, so ρ = ∏_a ρ_a. Show that the entropy of the full ensemble is equal to the sum of the entropies of the sub ensembles a: S = ∑_a S_a.

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