Numerical simulations of fragmentation of the Affleck-Dine condensate

We present numerical simulations of the fragmentation of the Affleck-Dine condensate in two spatial dimensions. We argue analytically that the final state should consist of both Q balls and anti-Q balls in a state of maximum entropy with most of the balls small and relativistic. Such behavior is found in simulations on a 100×100 lattice with cosmologically realistic parameter values. During the fragmentation process, we observe a filamentlike texture in the spatial distribution of charge. The total charge in the Q balls is found to be almost equal to the charge in anti-Q balls and is typically orders of magnitude larger than charge asymmetry. Analytical considerations indicate that apart from geometrical factors, the results of the simulated two-dimensional case should apply also to the fully realistic three-dimensional case.