Fractional kinetic equations of the diffusion, diffusion–advection, and Fokker–Planck type
are presented as a useful approach for the description of transport dynamics in complex …

The subject of this paper is the evolution of Brownian particles in disordered environments.
The “Ariadne's clew” we follow is understanding of the general statistical mechanisms which …

Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

The processes involving the basic phenomena of relaxation, diffusion, oscillations and wave
propagation are of great relevance in physics; from a mathematical point of view they are …

A review of classical percolation theory is presented, with an emphasis on novel
applications to statistical topography, turbulent diffusion, and heterogeneous media …

Chaotic transport in a laminar fluid flow in a rotating annulus is studied experimentally by
tracking large numbers of tracer particles for long times. Sticking and unsticking of particles …

Smart active particles can acquire some limited knowledge of the fluid environment from
simple mechanical cues and exert a control on their preferred steering direction. Their goal …

Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

In recent years the phenomenon of anomalous diffusion has attracted more and more
attention. One of the main impulses was initiated by de Gennes' idea of the “ant in the …