Hard-Square Lattice Gas

Discontinuous phase transition in a dimer lattice gas

“…(The specific ranges are 3.5 ≤ µ ≤ 3.96 and 4.03 ≤ µ ≤ 4.5.) Extrapolating these data to µ * using a quartic polynomial yields coexisting densities ρ f = 0.1974(1) and ρ s = 0.2421 (1). Applying the same procedure to the pressure data, I find π = 1.00748(2) using the fluid-phase data, and π = 1.00760(2) from the solid phase; I therefore estimate the pressure at coexistence as π coex = 1.00754 (10).…”

Absence of re-entrant phase transition of the antiferromagnetic Ising model on the simple cubic lattice: Monte Carlo study of the hard-sphere lattice gas

“…The atoms can occupy lattice sites under two conditions: only one atom may occupy a lattice site and they interact with infinite repulsion of nearest neighbour pairs. There are many studies of the system: series expansions [22,23,24,25,26], finite-size scaling and transfer matrix [27], Bethe and ring approximations [28], transfer matrix [29,30,31], corner transfer matrix and series expansions [32], exact calculations [33], Monte Carlo simulations [34].…”

Critical phenomena of the hard-sphere lattice gas on the simple cubic lattice

“…A continuous phase transition occurs at a critical activity. There are many studies of the system by various methods: series expansions [1,2,3,4,5], finite-size scaling and transfer matrix [6], Bethe and ring approximations [7], transfer matrix [8,9,10], corner transfer matrix and series expansions [11], exact calculations [12], and Monte Carlo simulations [13,14]. The critical activity is obtained on various lattice.…”