Angular momentum induced phase transition in spherical gravitational systems

We present the results of N-body simulations for a self-gravitating system in the microcanonical ensemble for the l2 model, where we fix the magnitude of angular momentum for each particle. In the mean-field limit, the system exhibits a first-order phase transition between a centrally condensed and a quasi-uniform phase in both canonical and microcanonical ensembles. In the present work, we verify the presence of the phase transition via N-body simulations. With increasing particle numbers, the simulation results converge to the mean-field phase transition in accordance with finite size scaling theory. We also use correlations in position and time to investigate the main dynamical features of each phase.