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We investigate the relaxational dynamics of the order parameter of chiralsymmetry breaking, the sigma mean-field, with a heat bath consisting of quarksand antiquarks. A semiclassical stochastic Langevin equation of motion isobtained from the linear sigma model with constituent quarks. The equilibrationof the system is studied for a first order phase transition and a criticalpoint, where a different behavior is found. At the first order phase transitionwe observe the phase coexistence and at a critical point the phenomenon ofcritical slowing down with large relaxation times. We go beyond existingLangevin studies and include reheating of the heat bath by determining theenergy dissipation during the relaxational process. The energy of the entiresystem is conserved. In a critical point scenario we again observe criticalslowing down.

Equilibration and relaxation times at the chiral phase transition including reheating