|
Journal of Physical Studies 17(2), Article 2001 [15 pages] (2013)
DOI: https://doi.org/10.30970/jps.17.2001 FRACTIONAL STATISTICS: LOOKING FROM THE STATISTICAL MECHANICS POINT OF VIEWAndrij Rovenchak
Department for Theoretical Physics, Ivan Franko National University of Lviv, |
 |
The paper contains a review of some principal methods to introduce fractional (intermediate) statistics of identical particles beyond traditional Bose-Einstein and Fermi-Dirac distributions. Anyons and $q$-deformed algebras of creation-annihilation operators are considered as quantum mechanical generalizations. The statistical mechanics approach is analyzed in detail, namely Gentile statistics, Haldane-Wu statistics, and Polychronakos statistics. Nonextensive statistics is described separately. Some relations between different types of fractional statistics are discussed.
PACS number(s): 05.30.-d, 05.30.Ch, 05.30.Pr, 05.20.-y