Abstract
The results of the cell cluster calculation of the additive free energy constant C in the asymptotic high density form of the free energy F N∾γ→1 − 2 ln( γ − 1) + C + 2 ln( λ σ) where τ is the ratio of the system area to its close-packed area, permit the prediction of a phase transition for hard squares between the free-volume solid state and the state determined by the Pade' approximant to the virial series. Molecular dynamics calculations show the free volume pressure to be correct over a considerable range of solidstate densities. The computer experiments also yield qualitative indications that there are two distinct phases in hard square systems.
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