  We present a relativistic molecular dynamics approach based on the
Nambu--Jona-Lasinio Lagrangian. We derive the relativistic time evolution
equations for an expanding plasma, discuss the hadronization cross section and
how they act in such a scenario. We present in detail how one can transform the
time evolution equation to a simulation program and apply this program to study
the expansion of a plasma created in experiments at RHIC and LHC. We present
first results on the centrality dependence of $v_2$ and of the transverse
momentum spectra of pions and kaons and discuss in detail the hadronisation
mechanism.
