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Nonequilibrium quark dynamics in ultrarelativistic heavy ion collisions

Heavy ion collisions at the CERN-SPS (and possibly at the upper end of the planned SIS/200 at GSI) are supposed to reach the transition form hadronic matter to the quarkgluon plasma. The analysis of collective observables such as flow allows to speculate that this transition may show up even down to AGS energies. The description of such a collision by microscopic models thus must treat properly the degrees of freedom emerging from soft QCD. Such a model can be realized by treating quarks as classical particles interacting according to a two-body color potential [1]. The Hamiltonian of this quark molecular dynamics (qMD) reads