Thermodynamics for fractional exclusion statistics

1996/01/31 by Serguei B. Isakov, Daniel P. Arovas, Jan Myrheim +1 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat #hep-th

paper · pdf · doi:10.1016/0375-9601(96)00157-0

published as Phys.Lett. A212 (1996) 299-303 · 9 pages, Revtex, no figures. References corrected

openalex publication_date 1996/04/01 · arxiv created 1996/05/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

Cited by

• Number fluctuation in an interacting trapped gas in one and two dimensions
• Thermodynamics of ideal quantum gas with fractional statistics inDdimensions
• Applications of the Collective Field Theory for the Calogero–Sutherland Model
• Exclusion statistics in a two-dimensional trapped Bose gas
• GENERALIZED PARTITION FUNCTIONS, INTERPOLATING STATISTICS AND HIGHER VIRIAL COEFFICIENTS
• Finite size effects in canonical Fermi systems