Scaling Relations for Gravitational Clustering in two Dimensions

Abstract

It is known that radial collapse around density peaks can explain the key features of the evolution of a correlation function in gravitational clustering in three dimensions. The same model also makes spe-ciÐc predictions for two dimensions. In this paper we test these predictions in two dimensions with the help of N-body simulations. We Ðnd that there is no stable clustering in the extremely nonlinear regime, but a nonlinear scaling relation does exist and can be used to relate the linear and the nonlinear corre-lation function. In the intermediate regime, the simulations agree with the model.