English

Weakly nonadditive Polychronakos statistics

Quantum Gases 2014-05-20 v2

Abstract

A two-parametric fractional statistics is proposed, which can be used to model a weakly-interacting Bose-system. It is shown that the parameters of the introduced weakly nonadditive Polychronakos statistics can be linked to effects of interactions as well as finite-size corrections. The calculations of the specific heat and condensate fraction of the model system corresponding to harmonically trapped Rb-87 atoms are made. The behavior of the specific heat of three-dimensional isotropic harmonic oscillators with respect to the values of the statistics parameters is studied in the temperature domain including the BEC-like phase transition point.

Keywords

Cite

@article{arxiv.1401.4029,
  title  = {Weakly nonadditive Polychronakos statistics},
  author = {Andrij Rovenchak},
  journal= {arXiv preprint arXiv:1401.4029},
  year   = {2014}
}

Comments

19 pages, 4 figures

R2 v1 2026-06-22T02:47:23.056Z