Thermodynamics for Fractional Exclusion Statistics

Abstract

We discuss the thermodynamics of a gas of free particles obeying Haldane's exclusion statistics, deriving low temperature and low density expansions. For gases with a constant density of states, we derive an exact equation of state and find that temperature-dependent quantities are independent of the statistics parameter.

9 pages, Revtex, no figures. References corrected

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Cited by in corpus (40)

• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Exclusion Statistics in Conformal Field Theory Spectra
• Exclusion Statistics in Conformal Field Theory -- generalized fermions and spinons for level-1 WZW theories
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• The effect of interactions on Bose-Einstein condensation in a two-dimensional harmonic trap
• Quasi-particles in Fractional Quantum Hall Effect Edge Theories
• Universal behaviour of ideal and interacting quantum gases in two dimensions
• A multispecies Calogero-Sutherland model
• Thermodynamics of ideal quantum gas with fractional statistics in D dimensions
• Exclusion Statistics in a trapped two-dimensional Bose gas
• Higher-order local and non-local correlations for 1D strongly interacting Bose gas
• Thermodynamic Bethe Ansatz with Haldane Statistics
• Applications of the Collective Field Theory for the Calogero-Sutherland Model
• From creation and annihilation operators to statistics
• Thermodynamics of statistically interacting quantum gas in D dimensions
• Spinon statistics in integrable spin-S Heisenberg chains
• Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas
• Exclusion statistics in conformal field theory and the UCPF for WZW models
• Number Fluctuation in an interacting trapped gas in one and two dimensions
• Towards a quantum-mechanical model for multispecies exclusion statistics
• Statistical mechanics and thermodynamics for multispecies exclusion statistics
• Fractional exclusion statistics -- the method to describe interacting particle systems as ideal gases
• Joule-Thomson coefficient of ideal anyons within fractional exclusion statistics
• Exclusion statistics,operator algebras and Fock space representations
• Fractional exclusion statistics and shot noise in ballistic conductors
• Exclusion Statistics in a two-dimensional trapped Bose gas
• An exactly solvable phase transition model: generalized statistics and generalized Bose-Einstein condensation
• Quantum liquids of particles with generalized statistics
• Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas
• Condensation in ideal Fermi gases
• General statistics of particles without spin
• The fourth virial coefficient of anyons
• Thermodynamic Bethe ansatz for generalized extensive statistics
• Fluctuations of the Fermi condensate in ideal gases
• Generalized partition functions, interpolating statistics and higher virial coefficients
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Thermodynamics of Statistical Anyons
• Equation of State for Exclusion Statistics in a Harmonic Well
• Canonical-grandcanonical ensemble in-equivalence in Fermi systems?
• Many-body constraints and non-thermal behavior in 1D open systems with Haldane exclusion statistics