We analytically calculate some thermodynamic quantities of an ideal g-on
gas obeying generalized exclusion statistics. We show that the specific heat of
a g-on gas (gξ =0) vanishes linearly in any dimension as Tβ0 when
the particle number is conserved and exhibits an interesting dual symmetry that
relates the particle-statistics at g to the hole-statistics at 1/g at low
temperatures. We derive the complete solution for the cluster coefficients
blβ(g) as a function of Haldane's statistical interaction g in D
dimensions. We also find that the cluster coefficients blβ(g) and the virial
coefficients alβ(g) are exactly mirror symmetric (l=odd) or antisymmetric
(l=even) about g=1/2. In two dimensions, we completely determine the closed
forms about the cluster and the virial coefficients of the generalized
exclusion statistics, which exactly agree with the virial coefficients of an
anyon gas of linear energies. We show that the g-on gas with zero chemical
potential shows thermodynamic properties similar to the photon statistics. We
discuss some physical implications of our results.Comment: 24 pages, Revtex, Corrected typo