Driven Depinning in Anisotropic Media

Abstract

We show that the critical behavior of a driven interface, depinned from quenched random impurities, depends on the isotropy of the medium. In anisotropic media the interface is pinned by a bounding (conducting) surface characteristic of a model of mixed diodes and resistors. Different universality classes describe depinning along a hard and a generic direction. The exponents in the latter (tilted) case are highly anisotropic, and obtained exactly by a mapping to growing surfaces. Various scaling relations are proposed in the former case which explain a number of recent numerical observations.

4 pages with 2 postscript figures appended, REVTeX

References in corpus (2)

• Universality Classes for Interface Growth with Quenched Disorder
• Elastic String in a Random Potential

Cited by in corpus (70)

• Imbibition in Disordered Media
• Non-Hermitian Localization and Population Biology
• 2-loop Functional Renormalization Group Theory of the Depinning Transition
• Depinning of elastic manifolds
• Origin of the roughness exponent in elastic strings at the depinning threshold
• Creep dynamics of elastic manifolds via exact transition pathways
• Scaling properties of driven interfaces in disordered media
• Avalanches and the Directed Percolation Depinning Model: Experiments, Simulations and Theory
• Temporal Scaling of Interfaces Propagating in Porous Media
• Anisotropic Scaling in Threshold Critical Dynamics of Driven Directed Lines
• Numerical Approaches on Driven Elastic Interfaces in Random Media
• The Tribology of Sliding Elastic Media
• Anisotropic Interface Depinning - Numerical Results
• Static and Dynamic Properties of Inhomogeneous Elastic Media on Disordered Substrate
• Interface depinning versus absorbing-state phase transitions
• Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments
• Scaling in self-organized criticality from interface depinning?
• Anisotropic Surface Growth Model in Disordered Media
• Higher correlations, universal distributions and finite size scaling in the field theory of depinning
• Creep motion of elastic interfaces driven in a disordered landscape
• Confirming and extending the hypothesis of universality in sandpiles
• Can non-linear elasticity explain contact-line roughness at depinning?
• Scaling Behavior of Driven Interfaces Above the Depinning Transition
• Dynamic criticality in driven disordered systems: Role of depinning and driving rate in Barkhausen noise
• Functional renormalization group for anisotropic depinning and relation to branching processes
• An Exactly Solvable Anisotropic Directed Percolation Model in Three Dimensions
• Driven interfaces in disordered media: determination of universality classes from experimental data
• Pipe network model for scaling of dynamic interfaces in porous media
• Intermittent collective dynamics of domain walls in the creep regime
• Barkhausen avalanches in anisotropic ferromagnets with $180^{\circ }$ domain walls
• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Kinetic roughening in two-phase fluid flow through a random Hele-Shaw cell
• Dynamics of Surface Roughening with Quenched Disorder
• Hyperuniformity in the Manna Model, Conserved Directed Percolation and Depinning
• Directed Surfaces in Disordered Media
• Generic two-phase coexistence in nonequilibrium systems
• Bacterial range expansions on a growing front: Roughness, Fixation, and Directed Percolation
• Eden model with nonlocal growth rules and the kinetic roughening in biological systems
• Strong-coupling phases of the anisotropic Kardar-Parisi-Zhang equation
• Universal Critical Exponents of the Magnetic Domain Wall Depinning Transition
• Facet Formation in the Negative Quenched Kardar-Parisi-Zhang Equation
• Anisotropy and universality: the Oslo model, the rice pile experiment and the quenched Edwards-Wilkinson equation
• Activity statistics, avalanche kinetics, and velocity correlations in surface growth
• Theoretical Continuous Equation Derived from the Microscopic Dynamics for Growing Interfaces in Quenched Media
• Depinning in a two-layer model of plastic flow
• Transition from KPZ to Tilted Interface Critical Behavior in a Solvable Asymmetric Avalanche Model
• On the critical region of long-range depinning transitions
• Glassy dynamics, aging and thermally activated avalanches in interface pinning at finite temperatures
• Anomalous scaling in depinning transitions
• Interface Depinning in the Absence of External Driving Force
• Stochastic Model for a Vortex Depinning in Random Media
• Self-organized criticality in an interface-growth model with quenched randomness
• Correlations of triggering noise in driven magnetic clusters
• Self-organized criticality in the Kardar-Parisi-Zhang-equation
• Some recent (and surprising) results on interface and contact line depinning in random media
• Singularities and Avalanches in Interface Growth with Quenched Disorder
• Depinning in the quenched Kardar-Parisi-Zhang class I: Mappings, simulations and algorithm
• Large-scale kinetic roughening behavior of coffee-ring fronts
• Current statistics in the q-boson zero range process
• Dynamics of driven interfaces near isotropic percolation transition
• Melting of Flux Lines in an Alternating Parallel Current
• Depinning of an anisotropic interface in random media: The tilt effect
• Depinning and flow of a vortex line in an uniaxial random medium
• Pattern Formation in Interface Depinning and Other Models: Erratically Moving Spatial Structures
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Depinning free of the elastic approximation
• Scaling properties of a ferromagnetic thin film model at the depinning transition
• Mapping a depinning transition to polynuclear growth
• Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces
• Crossover scaling functions in the asymmetric avalanche process