Abstract:
We consider one-dimensional interacting particle systems with reversible dynamics whose scaling limits are not diffusive. As a prototype of these models we consider the zero-range process with long jumps and the zero-range process with degenerated bond disorder. We obtain a central limit theorem for the density of particles and for the current through a bond on those systems. The scaling limit is given by a fractional Brownian motion of Hurst parameter H in (0,1/2).