This review describes recent progress in the understanding of the emergence of scale
invariance in far-from-equilibrium growth. The first section is devoted to 'solvable'needle …

In the subsurface, fluids play a critical role by transporting dissolved minerals, colloids, and
contaminants (sometimes over long distances); by mediating dissolution and precipitation …

How do growing bacterial colonies get their shapes? While colony morphogenesis is well
studied in two dimensions, many bacteria grow as large colonies in three-dimensional (3D) …

The use of fractal concepts in understanding various growth phenomena, such as molecular
beam epitaxy (MBE) or fluid flow in porous media, is increasingly important these days. This …

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

" When Bak, Tang, and Wiesenfeld (1987) coined the term Self-Organised Criticality (SOC),
it was an explanation for an unexpected observation of scale invariance and at the same …

The physics of liquids in porous media gives rise to many interesting phenomena, including
imbibition where a viscous fluid displaces a less viscous one. Here we discuss the …

The time evolution of spatial fluctuations in inhomogeneous d-dimensional biological
systems is analyzed. A single species continuous growth model, in which the population …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …

We construct the field theory of quasistatic isotropic depinning for interfaces and elastic
periodic systems at zero temperature, taking properly into account the nonanalytic form of …