Numerical Approaches on Driven Elastic Interfaces in Random Media

Abstract

We discuss the universal dynamics of elastic interfaces in quenched random media. We focus in the relation between the rough geometry and collective transport properties in driven steady-states. Specially devised numerical algorithms allow us to analyze the equilibrium, creep, and depinning regimes of motion in minimal models. The relevance of our results for understanding domain wall experiments is outlined.

20 pages, 6 figures, review article

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Cited by in corpus (37)

• Modification of perpendicular magnetic anisotropy and domain wall velocity in Pt/Co/Pt by voltage-induced strain
• Pinning dependent field driven domain wall dynamics and thermal scaling in an ultrathin Pt/Co/Pt magnetic film
• Pinning of Domain Walls in thin Ferromagnetic Films
• Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates
• Spatio-temporal patterns in ultra-slow domain wall creep dynamics
• How collective asperity detachments nucleate slip at frictional interfaces
• Creep motion of elastic interfaces driven in a disordered landscape
• Deformation and flow of amorphous solids: An updated review of mesoscale elastoplastic models
• Magnetic domain wall creep and depinning: a scalar field model approach
• Transient magnetic domain wall AC dynamics by means of MOKE microscopy
• 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
• Scaling laws in earthquake occurrence: Disorder, viscosity, and finite size effects in Olami-Feder-Christensen models
• Universal Critical Exponents of the Magnetic Domain Wall Depinning Transition
• Driven interfaces: from flow to creep through model reduction
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
• Thermally rounded depinning of an elastic interface on a washboard potential
• Effect of disorder geometry on the critical force in disordered elastic systems
• On the critical region of long-range depinning transitions
• A numerical study of the statistics of roughness parameters for fluctuating interfaces
• Domain-wall roughness in GdFeCo thin films: crossover length scales and roughness exponents
• Viscoelastic Interfaces Driven in Disordered Media and Applications to Friction
• Tuning Ginzburg-Landau theory to quantitatively study thin ferromagnetic materials
• Distribution of velocities in an avalanche, and related quantities: Theory and numerical verification
• Rough infection fronts in a random medium
• Curvature-driven AC-assisted creep dynamics of magnetic domain walls
• Depinning free of the elastic approximation
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Morphology transition at depinning in a solvable model of interface growth in a random medium
• Pinning-depinning transitions in two classes of discrete elastic-string models in (2+1)-dimensions
• Statistics of zero crossings in rough interfaces with fractional elasticity
• Effect of Ir growth pressure on the domain wall dynamics in Ta/Pt/Co/Ir/Ta stacks
• Soil creep facilitated by cyclic variations of environmental conditions
• Field-dependent roughness of moving domain walls in a Pt/Co/Pt magnetic thin film
• Microscopic interplay of temperature and disorder of a one-dimensional elastic interface