Short time relaxation of a driven elastic string in a random medium

Abstract

We study numerically the relaxation of a driven elastic string in a two dimensional pinning landscape. The relaxation of the string, initially flat, is governed by a growing length $L(t)$ separating the short steady-state equilibrated lengthscales, from the large lengthscales that keep memory of the initial condition. We find a macroscopic short time regime where relaxation is universal, both above and below the depinning threshold, different from the one expected for standard critical phenomena. Below the threshold, the zero temperature relaxation towards the first pinned configuration provides a novel, experimentally convenient way to access all the critical exponents of the depinning transition independently.

4.2 pages, 3 figures

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Cited by in corpus (36)

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• Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
• Numerical Calculation of the Functional renormalization group fixed-point functions at the depinning transition
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• Thermal rounding of the depinning transition
• Avalanche dynamics of elastic interfaces
• Theory and simulations on strong pinning of vortex lines by nanoparticles
• Numerical Approaches on Driven Elastic Interfaces in Random Media
• Disordered Elastic Systems and One-Dimensional Interfaces
• Thermal quench effects on ferroelectric domain walls
• Depinning exponents of the driven long-range elastic string
• Nonstationary dynamics of the Alessandro-Beatrice-Bertotti-Montorsi model
• Thermal rounding exponent of the depinning transition of an elastic string in a random medium
• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Short-time domain-wall dynamics in the random-field Ising model with a driving field
• Universal non stationary dynamics at the depinning transition
• Scaling description of creep flow in amorphous solids
• Excess velocity of magnetic domain walls close to the depinning field
• Dynamic effect of overhangs and islands at the depinning transition in two-dimensional magnets
• Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
• Universality class of the depinning transition in the two-dimensional Ising model with quenched disorder
• Roughening of the anharmonic Larkin model
• On the critical region of long-range depinning transitions
• Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models
• Depinning of stiff directed lines in random media
• Depinning phase transition in two-dimensional clock model with quenched randomness
• Anisotropic finite-size scaling of an elastic string at the depinning threshold in a random-periodic medium
• Nonsteady dynamic properties of a domain wall for the creep state under an alternating driving field
• Hamiltonian equation of motion and depinning phase transition in two-dimensional magnets
• Intrinsic anomalous scaling in a ferromagnetic thin film model
• 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
• Depinning free of the elastic approximation
• Scaling properties of a ferromagnetic thin film model at the depinning transition
• Pinning-depinning transitions in two classes of discrete elastic-string models in (2+1)-dimensions
• Nonsteady dynamics at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model
• Field-dependent roughness of moving domain walls in a Pt/Co/Pt magnetic thin film