Creep motion of elastic interfaces driven in a disordered landscape

Abstract

The thermally activated creep motion of an elastic interface weakly driven on a disordered landscape is one of the best examples of glassy universal dynamics. Its understanding has evolved over the last 30 years thanks to a fruitful interplay between elegant scaling arguments, sophisticated analytical calculations, efficient optimization algorithms and creative experiments. In this article, starting from the pioneer arguments, we review the main theoretical and experimental results that lead to the current physical picture of the creep regime. In particular, we discuss recent works unveiling the collective nature of such ultra-slow motion in terms of elementary activated events. We show that these events control the mean velocity of the interface and cluster into "creep avalanches" statistically similar to the deterministic avalanches observed at the depinning critical threshold. The associated spatio-temporal patterns of activated events have been recently observed in experiments with magnetic domain walls. The emergent physical picture is expected to be relevant for a large family of disordered systems presenting thermally activated dynamics.

arXiv commentReview article. 25 pages, 14 figures

References in corpus (63)

• Theoretical perspective on the glass transition and amorphous materials
• Anderson Transitions
• Crackling Noise
• Creep and depinning in disordered media
• Collective Transport: From Superconductors to Earthquakes
• Dynamics of a ferromagnetic domain wall: avalanches, depinning transition and the Barkhausen effect
• The abelian sandpile and related models
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Beyond power laws: Universality in the average avalanche shape
• Fractional Laplacian in Bounded Domains
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• 2-loop Functional Renormalization Group Theory of the Depinning Transition
• Nonequilibrium Dynamics of Interfaces and Lines
• An extremal model for amorphous media plasticity
• Roughness at the depinning threshold for a long-range elastic string
• Interface Depinning in a Disordered Medium - Numerical Results
• Depinning of elastic manifolds
• Avalanche-size distribution at the depinning transition: A numerical test of the theory
• Driven Depinning in Anisotropic Media
• Origin of the roughness exponent in elastic strings at the depinning threshold
• Universal pinning energy barrier for driven domain walls in thin ferromagnetic films
• Onset of Propagation of Planar Cracks in Heterogeneous Media
• Width distribution of contact lines on a disordered substrate
• Height fluctuations of a contact line: a direct measurement of the renormalized disorder correlator
• Dynamics below the depinning threshold
• Pinning dependent field driven domain wall dynamics and thermal scaling in an ultrathin Pt/Co/Pt magnetic film
• Creep dynamics of elastic manifolds via exact transition pathways
• Viscoelastic Effects in Avalanche Dynamics: A Key to Earthquake Statistics
• Pinning of Domain Walls in thin Ferromagnetic Films
• Creep motion of an elastic string in a random potential
• Domain Wall Motion and Interfacial Dzyaloshinskii-Moriya Interactions in Pt/Co/Ir$(t_{\mathrm{Ir}})$/Ta Multilayers
• The mechanisms of spatial and temporal earthquake clustering
• Non-steady relaxation and critical exponents at the depinning transition
• Universal Depinning Transition of Domain Walls in Ultrathin Ferromagnets
• Inter-event correlations from avalanches hiding below the detection threshold
• Avalanche dynamics of elastic interfaces
• Numerical Results for the Ground-State Interface in a Random Medium
• Numerical Approaches on Driven Elastic Interfaces in Random Media
• Glassy Motion of Elastic Manifolds
• Disordered Elastic Systems and One-Dimensional Interfaces
• Creep in One Dimension and Phenomenological Theory of Glass Dynamics
• Spatio-temporal patterns in ultra-slow domain wall creep dynamics
• Experimental evidence for three universality classes for reaction fronts in disordered flows
• Monte Carlo Dynamics of driven Flux Lines in Disordered Media
• Anisotropic Surface Growth Model in Disordered Media
• Velocity-force characteristics of a driven interface in a disordered medium
• Scaling of Energy Barriers for Flux Lines and Other Random Systems
• Magnetic domain wall creep and depinning: a scalar field model approach
• Statics and dynamics of elastic manifolds in media with long-range correlated disorder
• Intermittent collective dynamics of domain walls in the creep regime
• Transient magnetic domain wall AC dynamics by means of MOKE microscopy
• Common universal behaviors of magnetic domain walls driven by spin-polarized electrical current and magnetic field
• Creep and thermal rounding close to the elastic depinning threshold
• Excess velocity of magnetic domain walls close to the depinning field
• Localization of soft modes at the depinning transition
• Driven interfaces: from flow to creep through model reduction
• Universal scaling of the velocity field in crack front propagation
• Anisotropic Avalanches and Critical Depinning of Three-Dimensional Magnetic Domain Walls
• Effect of disorder geometry on the critical force in disordered elastic systems
• Roughening of the anharmonic Larkin model
• On the critical region of long-range depinning transitions
• Nonsteady dynamic properties of a domain wall for the creep state under an alternating driving field
• Distribution of velocities in an avalanche, and related quantities: Theory and numerical verification

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• Curvature-driven AC-assisted creep dynamics of magnetic domain walls
• Spatio-temporal dynamics of voltage-induced resistance transition in the double-exchange model
• Depinning free of the elastic approximation
• Effect of Ir growth pressure on the domain wall dynamics in Ta/Pt/Co/Ir/Ta stacks
• Infection fronts in randomly varying transmission-rate media
• Deterministic roughening in the dc-driven precessional regime of domain walls
• Microscopic interplay of temperature and disorder of a one-dimensional elastic interface
• Yielding versus random organization: convex absorbing transitions in soft matter
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