Portions of this entry contributed by Peter J. Walsh
An ensemble of systems in contact with a heat reservoir for which and or and are specified. Grand canonical ensembles have probability distributions of
where is the energy of state r, is the number of states and
Canonical Ensemble, Chemical Potential, Ensemble
References
Fowler, R. H. and Guggenheim, E. A. Statistical Thermodynamics: A Version of Statistical Mechanics for Students of Physics and Chemistry. Cambridge, England: University Press, p. 541, 1949.