# Random-manifold to random-periodic depinning of an elastic interface

@article{Bustingorry2010RandommanifoldTR, title={Random-manifold to random-periodic depinning of an elastic interface}, author={Sebastian Bustingorry and Alejandro B. Kolton and Thierry Giamarchi}, journal={Physical Review B}, year={2010}, volume={82}, pages={094202} }

We study numerically the depinning transition of driven elastic interfaces in a random-periodic medium with localized periodic-correlation peaks in the direction of motion. The analysis of the moving interface geometry reveals the existence of several characteristic lengths separating different length-scale regimes of roughness. We determine the scaling behavior of these lengths as a function of the velocity, temperature, driving force, and transverse periodicity. A dynamical roughness diagram…

## 18 Citations

### Anisotropic finite-size scaling of an elastic string at the depinning threshold in a random-periodic medium

- 2010

Physics

We numerically study the geometry of a driven elastic string at its sample-dependent depinning threshold in random-periodic media. We find that the anisotropic finite-size scaling of the average…

### The elastic depinning transition of vortex lattices in two dimensions

- 2012

Physics

Large-scale numerical simulations are used to study the elastic dynamics of two-dimensional vortex lattices driven on a disordered medium in the case of weak disorder. We investigate the so-called…

### Uniqueness of the thermodynamic limit for driven disordered elastic interfaces

- 2013

Mathematics

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…

### Maximum relative height of elastic interfaces in random media.

- 2011

Physics

Physical review. E, Statistical, nonlinear, and soft matter physics

The distribution of the maximal relative height of self-affine one-dimensional elastic interfaces in a random potential is studied and Pickands' theorem is derived to derive an exact analytical description for the right tail of the MRH distributions.

### Theory and experiments for disordered elastic manifolds, depinning, avalanches, and sandpiles

- 2022

Physics

Reports on progress in physics. Physical Society

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 quenched disorder. The ensuing field…

### Roughening of the anharmonic Larkin model.

- 2019

Physics

Physical review. E

The roughening of d-dimensional directed elastic interfaces subject to quenched random forces is studied, and it is shown that such d=1 case is directly related to a family of Brownian functionals parameterized by n, ranging from the random-acceleration model for n=1 to the Lévy arcsine-law problem for n =∞.

### Length scales and scale-free dynamics of dislocations in dense solid solutions

- 2020

Materials Science, Physics

Materials Theory

The fundamental interactions between an edge dislocation and a random solid solution are studied by analyzing dislocation line roughness profiles obtained from molecular dynamics simulations of…

### Depinning and flow of a vortex line in a uniaxial random medium

- 2022

Physics

Physical Review B

We study numerically and analytically the dynamics of a single directed elastic string driven through a 3-dimensional disordered medium. In the quasistatic limit the string is super-rough in the…

### Mean-field theories for depinning and their experimental signatures.

- 2021

Physics

Physical review. E

This work model forces as an Ornstein-Uhlenbeck process, and solves the model largely analytically, allowing it to describe in all regimes the distributions of velocity, avalanche size, and duration.

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

- 2021

Physics

Journal of physics. Condensed matter : an Institute of Physics journal

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.

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