  We examine the fluctuations of the empirical density measure for the colour
version of the symmetric nearest neighbour zero range particle systems in
dimension one. We show that the weak limit of these fluctuations is the
solution of a system of coupled generalized Ornstein-Uhlenbeck processes. We
also discuss how this result may be used to prove a central limit theorem for
the tagged particle on the level of finite dimensional distributions, and
identify the limiting variance. This is the central limit theorem associated to
propagation of chaos for this interacting particle system.
