Excluded Volume and Fermi - Dirac Statistics In ClassicalSystemsDaniel

We examine the eeect of the excluded volume interactions on the density proole and other related physical quantities as a classical version of the Pauli exclusion principle. We rst introduce a lattice model of random walk of classical particles where the Pauli's exclusion principle operates in real space and show that it reproduces exactly the Fermi-Dirac distribution and satisses the relation between the speciic heat and the energy uctuations. We also show a counter example where the excluded volume interaction does not lead to the Fermi-Dirac statistics in the context of the continuum system of one dimensional elastic hard spheres.