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In this short review article, we discuss the use of the Ising lattice model as a testbed for improving the theory of both homogeneous and heterogeneous nucleation. First, we briefly review classical nucleation theory (CNT), and two typical simple systems on which simulations are performed -hard spheres, and the Ising lattice model. Then we review some results obtained by this approach, and point to possible new directions for research and improvement.doi:10.14311/ap.2015.55.0029 fatcat:72t4k3zhtvhspczyfyak22p5ue