15-11U

# 15-11U

By - Posted on 19 December 2015

UDC:
531.19
PACS:
05.30.Pr

Two-parametric modifications of anyon statistics

M. Hornetska
A. Rovenchak

We consider two-parametric models of fractional statistics aiming to find an expression for the occupation numbers of free anyons. Virial coefficients are found for several types of statistics: $\kappa$-deformed Polychronakos and Haldane--Wu statistics, modified with the $q$-exponential Polychronakos and Haldane--Wu statistics in the bosonic limit, incomplete and nonadditive Gentile statistics for different values of the maximum level filling. Relations between different types of fractional statistics and statistics anyons are established and analyzed.

Year:
2015
Pages:
21