Canonical partition functions: ideal quantum gases, interacting classical gases, and interacting quantum gases

DOI10.1088/1742-5468/aaa37ezbMath1459.82303arXiv1710.02819OpenAlexW3101830173MaRDI QIDQ4964448

Chi-Chun Zhou, Wu-Sheng Dai

Publication date: 2 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02819

Mathematics Subject Classification ID

Statistical mechanics of gases (82D05)

Related Items (5)

Bose-like few-fermion systems ⋮ Calculating eigenvalues of many-body systems from partition functions ⋮ A statistical mechanical approach to restricted integer partition functions ⋮ Unified framework for generalized statistics: canonical partition function, maximum occupation number, and permutation phase of wave function ⋮ Maxwell–Boltzmann statistics of the quantum ideal gas in the canonical ensemble

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculating statistical distributions from operator relations: The statistical distributions of various intermediate statistics
• Schur functions in statistics. I: The preservation theorem
• Gentile statistics with a large maximum occupation number.
• Bose-Einstein condensation in low dimensional systems with deformed bosons
• On new identities for Bell's polynomials
• Schur function analogs for a filtration of the symmetric function space
• The canonical partition function for quons
• The relationship between the Fermi-Dirac distribution and statistical distributions in languages
• Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation
• Partition function of the model of perfect gas of clusters for interacting fluids
• An exactly solvable phase transition model: generalized statistics and generalized Bose–Einstein condensation
• Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model
• Interacting quantum gases in confined space: Two- and three-dimensional equations of state
• Combinants, Bell polynomials and applications
• Canonical partition functions of freely jointed chains
• The explicit expression of the fugacity for weakly interacting Bose and Fermi gases
• SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS
• Classical limit of the canonical partition function
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• The role of Bell polynomials in integration

This page was built for publication: Canonical partition functions: ideal quantum gases, interacting classical gases, and interacting quantum gases