PROBABILITY-DISTRIBUTION OF HARD-DISK AND HARD-SPHERE GASES OVER FINITE SUBVOLUMES

The probability distribution of a gas consisting of No hard disks (har d spheres) over finite subvolumes is modeled by the hypergeometric dis tribution. The effects of mutual exclusion between particles are incor porated by a density dependent effective volume per particle. This eff ective volume is related to the fluctuation in particle number. The be havior of the computed effective volume is compared with analytical ex pressions calculated from well-known equations of state. Corrections f or this effective volume due to the considered finite-size effects are proposed.