Effective modeling of physical systems with fractional statistics

Abstract

We consider two examples of real physical systems approximately described using fractional nonadditive Polychronakos statistics. The values of two statistics parameters are linked to properties of modeled systems using virial expansion. For a two-dimensional Fermi gas with contact interactions, accuracy up to the third virial coefficient is achieved. An approach to model the second virial coefficient of non-Abelian soft-core anyons is analyzed in detail.