Representative Ensembles in Statistical Mechanics

Abstract

The notion of representative statistical ensembles, correctly representing statistical systems, is strictly formulated. This notion allows for a proper description of statistical systems, avoiding inconsistencies in theory. As an illustration, a Bose-condensed system is considered. It is shown that a self-consistent treatment of the latter, using a representative ensemble, always yields a conserving and gapless theory.

Latex file, 18 pages

References in corpus (2)

• Fluctuations of composite observables and stability of statistical systems
• Nonequivalent operator representations for Bose-condensed systems

Cited by in corpus (15)

• Cold Bosons in Optical Lattices
• Basics of Bose-Einstein Condensation
• Bose-Einstein condensation and gauge symmetry breaking
• Bose-Einstein-condensed gases in arbitrarily strong random potentials
• Quantum Probabilities as Behavioral Probabilities
• Information Processing by Networks of Quantum Decision Makers
• Nonequilibrium representative ensembles for isolated quantum systems
• Quantum decision making by social agents
• Difference in Bose-Einstein condensation of conserved and unconserved particles
• Processing Information in Quantum Decision Theory
• Particle fluctuations in nonuniform and trapped Bose gases
• Quasiequilibrium Mixture of Itinerant and Localized Bose Atoms in Optical Lattice
• Entanglement production with Bose atoms in optical lattices
• From Coherent Modes to Turbulence and Granulation of Trapped Gases
• Models of Mixed Matter