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...

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...

Diffusion of transported particles in the intracellular medium is described by means of a generalized diffusion equation containing forces due to the cytoskeleton network and to the protein motors. We find that the enhanced diffusion observed in experiments depends on the nature of the force...

An experimental study of fragmentation of brittle solids under the application of repeated impulsive force is made, emphasizing the behavior of the diversity of fragments. Several scaling relations involving diversity and number of fragments are obtained from experiments and the results are...

We have recently introduced a simple spatial computer simulation model to study the evolution of the linguistic diversity. The model considers processes of selective geographic colonization, linguistic anomalous diffusion and mutation. In the approach, we ascribe to each language a fitness...

Here we describe how some important scaling laws observed in the distribution of languages on Earth can emerge from a simple computer simulation. The proposed language dynamics includes processes of selective geographic colonization, linguistic anomalous diffusion and mutation, and interaction...

Long sequences of slidings of solid blocks on an inclined rough surface subjected to small controlled perturbations are examined and scaling relations are found for the time distribution of slidings between pairs of large events as well as after and before the largest events. These scaling laws...

A susceptibility function χ(L) is introduced to quantify some aspects of the intermittent stick-slip dynamics of a rough metallic cylinder of length L on a rough metallic incline submitted to small controlled perturbations and maintained below the angle of repose. This problem is studied from...

Extensive computer simulation is used to revisit and to generalize two classical problems: (i) the random car-parking dynamics of A. Rényi and (ii) the irreversible random sequential adsorption (RSA) of parallel squares of same size on a planar substrate of area L2. In this paper, differently...

Basic statistical properties of monolayer packing configurations of a string of beads of diameter D in a planar cavity of size L×L×D are extensively investigated from experiments. The observed packing density p of the beads within the cavity is examined as a function of the packing fraction δ...