Grand canonical versus canonical ensemble: universal structure of statistics and thermodynamics in a critical region of Bose-Einstein condensation of an ideal gas in arbitrary trap

DOI10.1007/s10955-015-1361-3zbMath1329.82043OpenAlexW1439275944MaRDI QIDQ904379

Vladimir V. Kocharovsky, Sergey V. Tarasov, Vitaly V. Kocharovsky

Publication date: 13 January 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-015-1361-3

zbMATH Keywords

critical phenomenacanonical ensembleBose-Einstein condensationgrand canonical ensemblemesoscopic systemcritical region

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30)

Related Items (3)

Towards an exact solution for the three-dimensional Ising model: a method of the recurrence equations for partial contractions ⋮ On the permanents of circulant and degenerate Schur matrices ⋮ Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas

Cites Work

• Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas
• The central limit theorem and the problem of equivalence of ensembles
• Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit
• Condensate fluctuations in trapped Bose gases: Canonical vs. microcanonical le
• Critical phenomena and renormalization-group theory
• The equivalence of ensembles for lattice systems: Some examples and a counterexample
• The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble
• Ideal quantum gases in D-dimensional space and power-law potentials
• Universal fine structure of the specific heat at the criticalλ-point for an ideal Bose gas in an arbitrary trap
• Theory of the weakly interacting Bose gas
• Statistical mechanics of an ideal Bose gas in a confined geometry
• Bose–Einstein condensation of a finite-size Bose system
• Self-similar analytical solution of the critical fluctuations problem for the Bose–Einstein condensation in an ideal gas
• Bose-Condensed Gases at Finite Temperatures
• Cumulants of partitions
• Particle number fluctuations in an ideal Bose gas
• The canonical perfect Bose gas in Casimir boxes
• Fluctuations of the Bose–Einstein condensate
• On the Bose-Einstein Condensation
• On the Bose-Einstein condensation
• Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
• Master equation vs. partition function: canonical statistics of ideal Bose-Einstein condensates
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