Non-equilibrium relaxation of an elastic string in a random potential

Abstract

We study the non--equilibrium motion of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the equilibrated short length scales from the flat long distance geometry that keep memory of the initial condition. We show that, in the long time limit, $L(t)$ has a non--algebraic growth with a universal distribution function. The distribution function of waiting times is also calculated, and related to the previous distribution. The barrier distribution is narrow enough to justify arguments based on scaling of the typical barrier.

5 pages, 3 figs

References in corpus (20)

• Domain wall creep in epitaxial ferroelectric Pb(Zr0.2Ti0.8)O3 thin films
• Creep and depinning in disordered media
• Vortex-glass phases in type-II superconductors
• Domain wall roughness in epitaxial ferroelectric PbZr0.2Ti0.8O3 thin films
• Roughness at the depinning threshold for a long-range elastic string
• Anomalous Fluctuations of Directed Polymers in Random Media
• Creep motion of an elastic string in a random potential
• Domain Growth in Random Magnets
• Large time off-equilibrium dynamics of a manifold in a random potential
• Glassy Motion of Elastic Manifolds
• Monte Carlo Dynamics of driven Flux Lines in Disordered Media
• Velocity-force characteristics of a driven interface in a disordered medium
• Aging Dynamics of an Elastic String Diffusing in a Disordered Media
• Scaling of Energy Barriers for Flux Lines and Other Random Systems
• Functional Renormalization for pinned elastic systems away from their steady states
• Broad relaxation spectrum and the field theory of glassy dynamics for pinned elastic systems
• Aging in the glass phase of a 2D random periodic elastic system
• Directed polymer in random media, in two dimensions: numerical study of the aging dynamics
• Growing length scales during aging in 2d disordered systems
• Non equilibrium dynamics below the super-roughening transition

Cited by in corpus (40)

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• Numerical Approaches on Driven Elastic Interfaces in Random Media
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• Aging in coarsening diluted ferromagnets
• Hyperuniform vortex patterns at the surface of type-II superconductors
• Eigenvalue method to compute the largest relaxation time of disordered systems
• Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors
• Multiscaling analysis of ferroelectric domain wall roughness
• Out-of-equilibrium relaxation of the Edwards-Wilkinson elastic line
• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
• The cooperative effect of load and disorder in thermally activated rupture of a two-dimensional random fuse network
• Domain growth and aging scaling in coarsening disordered systems
• Aging processes in systems with anomalous slow dynamics
• Aging dynamics of non-linear elastic interfaces: the Kardar-Parisi-Zhang equation
• Dynamic effect of overhangs and islands at the depinning transition in two-dimensional magnets
• Relaxation dynamics of an elastic string in random media
• Non equilibrium dynamics of disordered systems : understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
• Quench dynamics of the three-dimensional U(1) complex field theory: geometric and scaling characterisation of the vortex tangle
• Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass
• Characterization of kinetic coarsening in a random-field Ising model
• Dynamic fluctuations of elastic lines in random environments
• Non-equilibrium dynamics of polymers and interfaces in random media : conjecture $\psi =d_s/2$ for the barrier exponent
• Creep motion of a domain wall in the two-dimensional random-field Ising model with a driving field
• Non-equilibrium dynamics of finite-dimensional disordered systems : RG flow towards an "infinite disorder" fixed point at large times
• Driven interfaces in random media at finite temperature : is there an anomalous zero-velocity phase at small external force ?
• Random field Ising model swept by propagating magnetic field wave: Athermal nonequilibrium phase diagram
• Nonsteady dynamic properties of a domain wall for the creep state under an alternating driving field
• Dynamic response and roughening of ferroelectric domain walls driven at planar electrode edges
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Relaxation processes in a system with logarithmic growth
• Roughening of an interface in a system with surface or bulk disorder
• Roughening of the Anharmonic Elastic Interface in Correlated Random Media
• On a relation between roughening and coarsening
• Ordering kinetics in q-state random-bond clock model: Role of Vortices and Interfaces
• Spatio-temporal scaling for out-of-equilibrium relaxation dynamics of an elastic manifold in random media: crossover between the Larkin regime and thermally activated regime
• Anti-hyperuniform diluted vortex matter induced by correlated disorder
• Statistics of zero crossings in rough interfaces with fractional elasticity