We elaborate on a new 3+1 dimensional Monte Carlo parton cascade solving kinetic Boltzmann processes including - for the first time - inelastic multiplication processes (gg <-->ggg) in a unified manner. The back reaction channel is treated fully consistently, exactly obeying detailed balance. The algorithm can handle, in principle, any specified initial conditions for the freed partons, the latter being on their kinetic mass shell. First full simulations with minijet initial conditions demonstrate that the inclusion of the inelastic channels leads to a very fast kinetic and chemical equilibration and also to an early creation of pressure.
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