Clustering and thermodynamics in the lattice-gas model

We study the cluster properties of the lattice-gas model (isomorphous to the usual ferromagnetic Ising model). An unexpected signal in the size of the largest geometrical cluster is found in the vicinity of the liquid–gas coexistence line. A precise localization of the percolation lines and percolating regions of the phase diagram, for both geometrical and physical clusters, is also given.