We characterize the soft modes of the dynamical matrix at the depinning transition, and compare the matrix with the properties of the Anderson model (and long-range generalizations). The density of states at the edge of ...

The depinning transition of elastic interfaces with an elastic interaction kernel decaying as 1/rd+σ is characterized by critical exponents which continuously vary with σ. These exponents are expected to be unique and ...

The thermal rounding of the depinning transition of an elastic interface sliding on a washboard potential is studied through analytic arguments and very accurate numerical simulations. We confirm the standard view that ...

In this paper, we perform a detailed study of the scaling properties of a ferromagnetic thin film model. Recently, interest has increased in the scaling properties of the magnetic domain wall (MDW) motion in disordered ...

We study the different dynamical regimes of a vortex lattice driven by ac forces in the presence of random pinning via numerical simulations. The behavior of the different observables is characterized as a function of the ...

We found some misprints in our paper. Since some of them are in equations, we believe it is necessary to add this erratum.The conclusions of our work remain unchanged in spite of these corrections.

We study the nonsteady relaxation of a driven one-dimensional elastic interface at the depinning transition by extensive numerical simulations concurrently implemented on graphics processing units. We compute the time-dependent ...