Effective modeling of physical systems with fractional statistics
Bohdana Sobko and Andrij Rovenchak
Professor Ivan Vakarchuk Department for Theoretical Physics, Ivan Franko National University of Lviv Lviv UA-79005, Ukraine
Received December 22, 2021, published online June 20, 2022
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.
Key words: virial expansion, nonadditive Polychronakos statistics, nonideal Fermi gas, non-Abelian anyons, Tsallis q-exponential.