Lattice hard spheres

Lattice hard spheres refers to athermal lattice gas models, in which pairs of sites separated by less than some short distance Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \sigma } cannot be simultaneously occupied.

Basically the differences with the standard lattice gas model (Ising model) are:

• An occupied site excludes the occupation of some of the neighboring sites.

• No energy interactions between pairs of occupied sites are considered.

These systems exhibit phase (order-disorder) transitions

• See Ref. 1 for some results of three-dimensional lattice hard sphere systems (on a simple cubic lattice)

• See Ref 2. for results of two-dimensional systems (lattice hard disks) on a square lattice.

References

1. A. Z. Panagiotopoulos, "Thermodynamic properties of lattice hard-sphere models", J. Chem. Phys. 123, 104504 (2005)
2. Heitor C. Marques Fernandes, Jeferson J. Arenzon, and Yan Levin "Monte Carlo simulations of two-dimensional hard core lattice gases" J. Chem. Phys. 126, 114508 (2007).