KnowraGrand canonical ensembleLinked fromLinked fromThe 13 pages that link to Grand canonical ensemble, each with the reason it gives.All 13Broader topic 2Related 8Narrower topic 1Compared with 2Chemical potentialBroader topic: It treats chemical potential as the control parameter for particle exchange.Statistical mechanicsBroader topic: It permits particle-number fluctuations when the system is open to a reservoir.Fermi–Dirac statisticsNarrower topic: The distribution follows from treating particle number and energy exchange statistically.Boltzmann distributionRelated: Its state probabilities add particle-number weighting to thermal energy weighting.Bose–Einstein statisticsRelated: It yields the standard occupation distribution when particle number can fluctuate.Thermodynamic potentialRelated: Its natural potential is the grand potential, suited to variable particle number.Canonical ensembleCompared with: It relaxes the fixed-particle-number constraint and allows particle exchange.Microcanonical ensembleCompared with: It relaxes both fixed-energy and fixed-particle-number constraints.Thermodynamic limitRelated: Its particle-number fluctuations often simplify calculations in the thermodynamic limit.Quantum statisticsRelated: It provides the framework for distributions with a chemical potential.Bose–Einstein distributionRelated: The distribution follows by averaging state occupation in this ensemble.Gibbs paradoxRelated: Its particle-number weighting handles indistinguishable particles across variable populations.Particle statisticsRelated: It yields occupation distributions when particle number can vary.