Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

We study the intermittency of fluid velocities in porous media and its relation to anomalous
dispersion. Lagrangian velocities measured at equidistant points along streamlines are …

To explore the character of transport in a plasma turbulence model with avalanche transport,
the motion of tracer particles has been followed. Both the time evolution of the moments of …

Technological advances and a burst of new microscopy methods have boosted the use of
quantitative tracking experiments, in Soft Matter and Biological Physics but also in the Life …

In this article we demonstrate the very inspiring role of the continuous-time random walk
(CTRW) formalism, the numerous modifications permitted by its flexibility, its various …

The use of reaction-diffusion models rests on the key assumption that the diffusive process is
Gaussian. However, a growing number of studies have pointed out the presence of …

We review simple aspects of the thermodynamic and dynamical properties of systems with
long-range pairwise interactions (LRI), which decay as 1/rd+ σ at large distances r in d …