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We have studied the island size distribution and spatial correlation functionof an island growth model under the effect of an elastic interaction of theform $1/r^{3}$. The mass distribution $P_n(t)$ that was obtained presents apronounced peak that widens with the increase of the total coverage of thesystem, $\theta$. The presence of this peak is an indication of theself-organization of the system, since it demonstrates that some sizes are morefrequent than others. We have treated exactly the energy of the system usingperiodic boundary conditions which were used in the Monte-Carlo simulations. Adiscussion about the effect of different factors is presented.Comment: 5 pages, Latex, 4 Postscript figures. Accepted in Phys. Rev.

Monte Carlo study of the elastic interaction in heteroepitaxial growth