The results of grand canonical Monte Carlo study of two-dimensional lattice gas model of network-forming particles on a triangular lattice are reported. The model takes into account the effects of molecular association, resulting from the orientation-dependent interactions as well as the effects of cooperative interactions, which lead to the weakening of the bond energies. A phase transition between the dilute and the condensed phase is considered. Phase diagrams for different systems are presented and it is shown that the systems studied belong to the universality class of two-dimensional Ising model.
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