Non-linear predictions from linear theories in models with Dark Energy

Abstract We study the cluster mass function and its evolution in different models with Dark Energy arising from a self-interacting scalar field, with Ratra and Peebles and SUGRA potentials. Computations are based on a Press and Schechter approximation. The mass functions we obtain are compared with results holding for open models or models with Dark Energy due to a cosmological constant. Evolution results, in some Dark Energy models, closely approach open models.