# Numerical Approaches on Driven Elastic Interfaces in Random Media

@article{Ferrero2013NumericalAO, title={Numerical Approaches on Driven Elastic Interfaces in Random Media}, author={Ezequiel E. Ferrero and Sebastian Bustingorry and Alejandro B. Kolton and Alberto Rosso}, journal={Comptes Rendus Physique}, year={2013}, volume={14}, pages={641-650} }

Abstract We discuss the universal dynamics of elastic interfaces in quenched random media. We focus on the relation between the rough geometry and collective transport properties in driven steady-states. Specially devised numerical algorithms allow us to analyze the equilibrium, creep, and depinning regimes of motion in minimal models. The relevance of our results for understanding domain wall experiments is outlined.

## 28 Citations

Viscoelastic Interfaces Driven in Disordered Media

- Physics
- 2016

As we have seen in the previous chapter, the driven dynamics of heterogeneous systems often proceeds by random jumps called avalanches, which display scale-free statistics. This critical…

The effect of disorder geometry on the critical force in disordered elastic systems

- Physics
- 2014

We address the effect of disorder geometry on the critical force in disordered elastic systems. We focus on the model system of a long-range elastic line driven in a random landscape. In the…

Viscoelastic Interfaces Driven in Disordered Media and Applications to Friction

- Physics
- 2014

Many complex systems respond to a continuous input of energy by an accumulation of stress over time, interrupted by sudden energy releases called avalanches. Recently, it has been pointed out that…

Uniqueness of the thermodynamic limit for driven disordered elastic interfaces

- Mathematics, Physics
- 2013

We study the finite-size fluctuations at the depinning transition for a one-dimensional elastic interface of size L displacing in a disordered medium of transverse size M = kLζ with periodic boundary…

Driven Interfaces: From Flow to Creep Through Model Reduction

- Physics
- 2016

The response of spatially extended systems to a force leading their steady state out of equilibrium is strongly affected by the presence of disorder. We focus on the mean velocity induced by a…

Deformation and flow of amorphous solids: Insights from elastoplastic models

- Materials Science, PhysicsReviews of Modern Physics
- 2018

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To…

Morphology transition at depinning in a solvable model of interface growth in a random medium

- Physics
- 2013

We propose a simple, exactly solvable, model of interface growth in a random medium that is a variant of the zero-temperature random-field Ising model on the Cayley tree. This model is shown to have…

A numerical study of the statistics of roughness parameters for fluctuating interfaces

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2021

This work considers three cases of numerically simulated one-dimensional interfaces and shows that sample-to-sample fluctuations are rather large when measuring the roughness exponent, and suggests a minimum of independent interface realizations should be used to guarantee sufficient statistical averaging.

Distribution of velocities in an avalanche, and related quantities: Theory and numerical verification

- PhysicsEPL (Europhysics Letters)
- 2019

We study several probability distributions relevant to the avalanche dynamics of elastic interfaces driven on a random substrate: The distribution of size, duration, lateral extension or area, as…

Statistics of zero crossings in rough interfaces with fractional elasticity.

- Mathematics, MedicinePhysical review. E
- 2018

The results drawn from the analysis of rough interfaces subject to particular boundary conditions or constraints, along with discretization effects, are relevant for the practical analysis of zeros in interface imaging experiments or in numerical analysis.

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