Probability distributions in statistical ensembles with conserved charges

Abstract

The probability distributions for charged particle numbers and their densities are derived in statistical ensembles with conservation laws. It is shown that if this limit is properly taken then the canonical and grand canonical ensembles are equivalent. This equivalence is proven on the most general, probability distribution level.

5 pages. A little bit shorter version due to some editorial and language changes. To be published in Phys. Rev. C