Abstract
We describe a triangular lattice model able to undergo a liquid-gas transition. The model is obtained by adding an attractive force to the Frisch-Hasslacher-Pomeau gas in the form of non-local interaction. Several types of interactions are suggested and their properties are discussed. When the attractive forces are strong enough the model decomposes into a dense and a light phase. The equation of state of the model is analogous to a van der Waals equation. The theoretical prediction of the equation of state, obtained using a Boltzmann or factorization assumption, agrees well with numerical observations. The isotropy of the model is tested by a numerical computation of the two-dimensional power spectrum.
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