Thermodynamic properties of several lattice hard-sphere models were obtained from grand canonical histogram- reweighting Monte Carlo simulations. Sphere centers occupy positions on a simple cubic lattice of unit spacing and exclude neighboring sites up to a distance σ. The nearestneighbor exclusion model, σ=√2, was previously found to have a second-order transition. Models with integer values of σ=1 or 2 do not have any transitions. Models with σ=√3 and σ=3 have weak first-order fluid-solid transitions while those with σ=2√2, 2√3, and 3√2 have strong fluid-solid transitions. Pressure, chemical potential, and density are reported for all models and compared to the results for the continuum, theoretical predictions, and prior simulations when available.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry