There is striking evidence that the dynamics of the Earth crust is controlled by a wide variety
of mutually dependent mechanisms acting at different spatial and temporal scales. The …

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 review how the renormalized force correlator Δ (u), the function computed in the
functional renormalization-group (RG) field theory, can be measured directly in numerics …

Interfaces pinned by quenched disorder are often used to model jerky self-organized critical
motion. We study static avalanches, or shocks, defined here as jumps between distinct …

We calculate numerically the sizes S of jumps (avalanches) between successively pinned
configurations of an elastic line (d= 1) or interface (d= 2), pulled by a spring of (small) …

We review the theoretical description of the random field Ising and O (N) models obtained
from the functional renormalization group, either in its nonperturbative implementation or, in …

Crystals deform by the intermittent multiplication and slip avalanches of dislocations. While
dislocation multiplication is well-understood, how the avalanches form, however, is not clear …

We measure the center-of-mass fluctuations of the height of a contact line at depinning for
two different systems: liquid hydrogen on a rough cesium substrate and isopropanol on a …

The interplay between the critical fluctuations and the sample geometry is investigated
numerically using thin random-field ferromagnets exhibiting the field-driven magnetisation …

Elastic systems, such as magnetic domain walls, density waves, contact lines, and cracks,
are pinned by substrate disorder. When driven, they move via avalanches, with power law …