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The initial distribution of gluons at the very early times after a highenergy heavy ion collision is described by the bulk scale $Q_s$ of gluonsaturation in the nuclear wavefunction. The subsequent evolution of the systemtowards kinetic equilibrium is described by a non-linear Landau equation forthe single particle distributions \cite{Mueller1,Mueller2}. In this paper, wesolve this equation numerically for the idealized initial conditions proposedby Mueller, and study the evolution of the system to equilibrium. We discussthe sensitivity of our results on the dynamical screening of collineardivergences. In a particular model of dynamical screening, the convergence tothe hydrodynamic limit is seen to be rapid relative to hydrodynamic timescales. The equilibration time, the initial temperature, and the chemicalpotential are shown to have a strong functional dependence on the initial gluonsaturation scale $Q_s$.Comment: 34 pages, 10 figure

From a colored glass condensate to the gluon plasma: Equilibration in high energy heavy ion collisions