Journal of Theoretical and Computational Studies
GRAND CANONICAL PARTITION FUNCTION FOR PARASTATISTICAL SYSTEMS
Research Group on Theoretical and Mathematical Physics, Physics Department, Gadjah Mada University, Bulaksumur Yogyakarta 55281, Indonesia
A closed form formulation of the grand canonical partition function (GCPF) for generalized parastatistical systems is obtained, which include a nice determinant formula for parabose systems of any order. The obtained GCPF is not suitable for calculating thermodynamics quantities in the continuum energy limit. Except for a special case that is (in our terminology) the $(1,1)$-statistics, where the calculation can be done rather easily, to obtain some simple thermodynamics results. In particular, it is found that the $(1,1)$-statistics exhibits a Bose like condensation.