Investigations on diffusion in systems with memory [I.V.L. Costa, R. Morgado, M.V.B.T. Lima, F.A. Oliveira, Europhys. Lett. 63 (2003) 173] have established a hierarchical connection between mixing, ergodicity, and the fluctuation–dissipation theorem (FDT). This hierarchy means that ergodicity...

We present here a discussion for a reaction rate theory for non-Markovian systems. We show that the state of the art of the theory is not enough to explain the rates obtained for systems with long-range memories. We discuss as well the limits for a system of many interacting particles to be...

The statistical properties of random walks evolving on real configurations of a crumpled wire rigidly jammed in two dimensions is investigated. These crumpled hierarchical structures with complex topology are obtained from a metallic wire injected at a constant rate into a transparent planar...