Hard square lattice gas

It is shown that the fluid branch of the hard square lattice gas terminates at a finite activity z f . Estimates of z f indicate that it is identical to the termination activity of the solid branch z s , found by Baxter, Enting, and Tsang [J. Stat. Phys. 22, 465 (1980)] to be at z s =3.7962(1), resulting in a second order phase transition with z f =z s =z c . The radius of convergence of the virial series p(ρ) is found to be smaller than the value of the critical density ρ c . For a finite lattice a complex Yang–Lee zero of the grand partition function converges to z c like the reciprocal width of the lattice.

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