Depinning free of the elastic approximation

Abstract

We model the isotropic depinning transition of a domain-wall using a two dimensional Ginzburg-Landau scalar field instead of a directed elastic string in a random media. An exact algorithm accurately targets both the critical depinning field and the critical configuration for each sample. For random bond disorder of weak strength $\Delta$, the critical field scales as ${\Delta }^{4/3}$ in agreement with the predictions for the quenched Edwards-Wilkinson elastic model. However, critical configurations display overhangs beyond a characteristic length $l_0\sim {\Delta }^{-\alpha }$, with $\alpha \approx 2.2$, indicating a finite-size crossover. At the large scales, overhangs recover the orientational symmetry which is broken by directed elastic interfaces. We obtain quenched Edwards-Wilkinson exponents below $l_0$ and invasion percolation depinning exponents above $l_0$. A full picture of domain wall isotropic depinning in two dimensions is hence proposed.

arXiv comment9 pages, 9 figures

References in corpus (49)

• 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
• Vortex-glass phases in type-II superconductors
• 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
• Driven Interface Depinning in a Disordered Medium
• Roughness at the depinning threshold for a long-range elastic string
• Interface Depinning in a Disordered Medium - Numerical Results
• Depinning of elastic manifolds
• Driven Depinning in Anisotropic Media
• Universality Classes for Interface Growth with Quenched Disorder
• 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
• 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
• The mechanisms of spatial and temporal earthquake clustering
• Numerical Calculation of the Functional renormalization group fixed-point functions at the depinning transition
• Depinning transition and thermal fluctuations in the random-field Ising model
• Non-steady relaxation and critical exponents at the depinning transition
• Numerical Approaches on Driven Elastic Interfaces in Random Media
• Spatio-temporal patterns in ultra-slow domain wall creep dynamics
• Short time relaxation of a driven elastic string in a random medium
• Depinning exponents of the driven long-range elastic string
• Creep motion of elastic interfaces driven in a disordered landscape
• Functional renormalization group for anisotropic depinning and relation to branching processes
• Magnetic domain wall creep and depinning: a scalar field model approach
• Crossover behavior in interface depinning
• Intermittent collective dynamics of domain walls in the creep regime
• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Universal distribution of threshold forces at the depinning transition
• Localization of soft modes at the depinning transition
• Depinning transition at the upper critical dimension
• Universal scaling of the velocity field in crack front propagation
• Universal Critical Exponents of the Magnetic Domain Wall Depinning Transition
• From bulk descriptions to emergent interfaces: connecting the Ginzburg-Landau and elastic line models
• Uniqueness of the thermodynamic limit for driven disordered elastic interfaces
• Anisotropic Avalanches and Critical Depinning of Three-Dimensional Magnetic Domain Walls
• Universality class of the depinning transition in the two-dimensional Ising model with quenched disorder
• Roughness of a Tilted Anharmonic String at Depinning
• Depinning of stiff directed lines in random media
• Tuning Ginzburg-Landau theory to quantitatively study thin ferromagnetic materials
• Variant Monte Carlo algorithm for driven elastic strings in random media

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