Weakly nonadditive Polychronakos statistics

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.

19 pages, 4 figures

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Cited by in corpus (5)

• Correlation function intercepts for $\tilde{\mu },q$-deformed Bose gas model implying effective accounting for interaction and compositeness of particles
• Two-parametric fractional statistics models for anyons
• Intermediate statistics: addressing the thermoelectric properties of solids
• Work Required for Selective Quantum Measurement
• Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas