Affleck-Dine dynamics, Q-ball formation and thermalisation

We present both analytically and numerically the consistent analysis from the Affleck-Dine (AD) dynamics to the subsequent semiclassical evolution in both gravity-mediated and gauge-mediated models. We obtain analytically the elliptic motions in the AD dynamics as the analogy of the well-known Kepler-problem, and by solving the equations of motion in a lattice, we find that the semiclassical evolution goes through three distinct stages as a nonequilibrium process of reheating the Universe: pre-thermalisation, bubble collisions and thermalisation. We report that the second stage of our case lasts rather long compared to the second stage of the reheating case, and the thermalisation process is unique due to the presence of ``thermal Q-balls''.