Dissipation and Fluctuation at the Chiral Phase Transition

Abstract

Utilizing the Langevin scenario for the linear sigma model we investigate the effect of friction and white noise on the evolution and stability of collective pionic fields in heavy ion collisions. We find that the smaller the volume the more stable pionic fluctuations become (the avergae mass increases). On the other hand the variance of the mass square increases even more, so for a system preheated in 10 fm3 volume individual trajectories do become unstable during a rapid one dimensional expansion in contrast to the ensemble averaged solution. This result supports the idea of looking for disoriented chiral condensate (DCC) formation in individual events.