We examine the thermodynamic characteristics of unified quantum statistics as
a novel framework that undergoes a crossover between Bose-Einstein and
Fermi-Dirac statistics by varying a generalization parameter δ. We find
an attractive intrinsic statistical interaction when δ≤0.5 where the
thermodynamic curvature remains positive throughout the entire physical range.
For 0.5<δ<1 the system exhibits predominantly Fermi-like behavior at
high temperatures, while at low temperatures, the thermodynamic curvature is
positive and the system behaves like bosons. As the temperature decreases
further, the system undergoes a transition into the condensate phase. We also
report on a critical fugacity (z=Z∗) defined as the point at which the
thermodynamic curvature changes sign, i.e. for zZ∗), the
statistical behavior resembles that of fermions (bosons). Also, we extract the
variation of statistical behaviour of the system for different values of
generalization parameter with respect to the temperature. We evaluate the
critical fugacity and critical δ dependent condensation temperature of
the system. Finally, we investigate the specific heat as a function of
temperature and condensation phase transition temperature of the system for
different values of generalization parameter in different dimensions.Comment: 10 pages, 17 figure