TY - JOUR AU - Hornetska, M. Ya. AU - Rovenchak, A. A. PY - 2019/01/08 Y2 - 2024/03/28 TI - Two-Parameter Modifications of Anyonic Statistics JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 61 IS - 2 SE - General problems of theoretical physics DO - 10.15407/ujpe61.02.0168 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019119 SP - 168 AB - <p>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: к-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.</p> ER -