Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

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

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 …

In addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

▪ Abstract This article reviews the transport properties of coherent vortices in rotating
barotropic flows. It is shown that vortices induce regular Lagrangian motion inside their …

We investigate the spreading of passive tracers in closed basins. If the characteristic length
scale of the Eulerian velocities is not very small compared with the size of the basin the …

Superdiffusive behavior, ie,〈 x2 (t)〉∼ t2ν, with ν> 1/2, is in general not completely
characterized by a unique exponent. We study some systems exhibiting strong anomalous …

Chemical and biological processes often take place in fluid flows. Many of them, like
environmental or microfluidical ones, generate filamentary patterns which have a fractal …

We review and discuss some different techniques for describing local dispersion properties
in fluids. A recent Lagrangian diagnostics based on the finite scale Lyapunov exponent …

Fluid mixing is a successful application of chaos. Theory anticipates the coexistence of order
and disorder—symmetry and chaos—as well as self-similarity and multifractality arising from …