To what extent do reduced charge fluctuations in Quark-Gluon Plasma survive subsequent evolution in the hadronic stage to serve as a signature of QGP at:the early stages of the collision? We derive the equation for the relaxation of the fluctuations of a conserved (electric or baryon) charge density to their thermodynamic equilibrium magnitude. Estimating the rate of diffusion in rapidity for different charged secondaries, we find that, for conditions of the SPS experiments, the magnitude of the fluctuations relaxes almost to hadronic "resonance gas" magnitude. We estimate the detector acceptance needed to measure such "primordial" long-range fluctuations in RHIC conditions. We also point out that charge fluctuations should be additionally suppressed if freezeout occurs near the QCD critical point and estimate the magnitude of the effect. [References: 13]
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