Phase transition for classical fermions (Q1280674)

There is no commonly accepted notion of a classical analogue for quantum fermions. One recipe amounts to a formal limit in relevant formulas, like Hartree or Thomas-Fermi type equations. The main objective of the paper is to give lattice random variable model that mimics the behaviour expected from ``classical fermions'' and gives rise to formulas obtained in the semiclassical limit. Equilibrium distributions are utilized. It is found that a second-order phase transition is possible, corresponding to that from the superconductive to the normal state of matter.