Experimental evidence for three universality classes for reaction fronts in disordered flows

Abstract

Self-sustained reaction fronts in a disordered medium subject to an external flow display self-affine roughening, pinning and depinning transitions. We measure spatial and temporal fluctuations of the front in $1+1$ dimensions, controlled by a single parameter, the mean flow velocity. Three distinct universality classes are observed, consistent with the Kardar-Parisi-Zhang (KPZ) class for fast advancing or receding fronts, the quenched KPZ class (positive-qKPZ) when the mean flow approximately cancels the reaction rate, and the negative-qKPZ class for slowly receding fronts. Both quenched KPZ classes exhibit distinct depinning transitions, in agreement with the theory.

References in corpus (15)

• Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals
• Moving glass theory of driven lattices with disorder
• Nonequilibrium Dynamics of Interfaces and Lines
• Driven Interface Depinning in a Disordered Medium
• Effects of Particle Shape on Growth Dynamics at Edges of Evaporating Colloidal Drops
• Frozen steady states in active systems
• Avalanches and the Directed Percolation Depinning Model: Experiments, Simulations and Theory
• Pattern of Reaction Diffusion Front in Laminar Flows
• Experimental approaches to universal out-of-equilibrium scaling laws: turbulent liquid crystal and other developments
• Anisotropic Surface Growth Model in Disordered Media
• Self-Sustained Reaction Fronts in Porous Media
• Functional renormalization group for anisotropic depinning and relation to branching processes
• Facet Formation in the Negative Quenched Kardar-Parisi-Zhang Equation
• Strong pinning of propagation fronts in adverse flow
• Mapping a depinning transition to polynuclear growth

Cited by in corpus (28)

• Universal Depinning Transition of Domain Walls in Ultrathin Ferromagnets
• Coulomb-gas electrostatics controls large fluctuations of the KPZ equation
• Memory and universality in interface growth
• Vortex dynamics and losses due to pinning: Dissipation from trapped magnetic flux in resonant superconducting radio-frequency cavities
• Creep motion of elastic interfaces driven in a disordered landscape
• Intermittent collective dynamics of domain walls in the creep regime
• Kardar-Parisi-Zhang Interfaces with Inward Growth
• Transient magnetic domain wall AC dynamics by means of MOKE microscopy
• Creep and thermal rounding close to the elastic depinning threshold
• Common universal behaviors of magnetic domain walls driven by spin-polarized electrical current and magnetic field
• KPZ equation with short-range correlated noise: emergent symmetries and non-universal observables
• Eden model with nonlocal growth rules and the kinetic roughening in biological systems
• Universal dimensional crossover of domain wall dynamics in ferromagnetic films
• $1/f^{\alpha }$ power spectrum in the Kardar-Parisi-Zhang universality class
• Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models
• On the critical region of long-range depinning transitions
• Crossover between various initial conditions in KPZ growth: flat to stationary
• Kinetic roughening of the urban skyline
• KPZ fluctuations in finite volume
• Exactly solvable models of growing interfaces and lattice gases: the Arcetri models, ageing and logarithmic sub-ageing
• Depinning in the quenched Kardar-Parisi-Zhang class I: Mappings, simulations and algorithm
• Large-scale kinetic roughening behavior of coffee-ring fronts
• Morphological transitions in supercritical generalized percolation and moving interfaces in media with frozen randomness
• Depinning and flow of a vortex line in an uniaxial random medium
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Interface Collisions
• Infection fronts in randomly varying transmission-rate media
• Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces