Scaling Relations for Gravitational Clustering in Two Dimensions

It is known that radial collapse around density peaks can explain the keyfeatures of evolution of correlation function in gravitational clustering inthree dimensions. The same model also makes specific predictions for twodimensions. In this paper we test these predictions in two dimensions with thehelp of N-Body simulations. We find that there is no stable clustering in theextremely non-linear regime, but a nonlinear scaling relation does exist andcan be used to relate the linear and the non-linear correlation function. Inthe intermediate regime, the simulations agree with the model.Comment: Revised version, To appear in Ap