THERMODYNAMIC PROPERTIES OF PARTICLES WITH INTERMEDIATE STATISTICS

Analytic expressions for the distribution function of an ideal gas of particles (exclusons) which have statistics intermediate between Fermi -Dirac and Bose-Einstein an obtained for all values of the Haldane sta tistics parameter alpha is an element of[0,1]. The analytic structure of the distribution function is investigated and found to have no sing ularities in the physical region when the parameter a lies in the rang e 0<alpha less than or equal to 1. High- and low-temperature series ar e also derived for the internal energy E and heat capacity C-V of the D-dimensional excluson gas. The low-temperature series for the thermod ynamic properties illustrate the pseudofermion nature of exclusons.