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Current issue   Ukr. J. Phys. 2016, Vol. 61, N 2, p.168-177
doi:10.15407/ujpe61.02.0168    Paper

Hornetska M., Rovenchak A.

Ivan Franko National University of Lviv, Chair of theoretical physics
(12, Drahomanov Str., Lviv 79005, Ukraine; e-mail: andrij.rovenchak@gmail.com)

Two-Parameter Modifications of Anyonic Statistics

Section: Chronicle, bibliographic data, and personalia
Original Author's Text: Ukrainian

Abstract: Two-parameter models of fractional statistics aimed at finding an expression for the occupation numbers of free anyons have been considered. Virial coefficients are found for statistics of several types: k-deformed Polychronakos and Haldane–Wu statistics, Polychronakos and Haldane–Wu statistics modified with the q-exponential in the bosonic limit, and incomplete and nonadditive Gentile statistics for various level-filling maxima. A relation between the anyonic statistics and various statistics of fractional types is found and analyzed.

Key words: fractional statistics, anyons, k-deformation, Polychronakos statistics, Haldane– Wu statistics, Gentile statistics

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