Coarsening and percolation in a disordered ferromagnet
arXiv:1611.04828 · doi:10.1103/PhysRevE.95.022101
Abstract
By studying numerically the phase-ordering kinetics of a two-dimensional ferromagnetic Ising model with quenched disorder -- either random bonds or random fields -- we show that a critical percolation structure forms in an early stage and is then progressively compactified by the ensuing coarsening process. Results are compared with the non-disordered case, where a similar phenomenon is observed, and interpreted within a dynamical scaling framework.
arXiv comment15 pages, 7 figures
References in corpus (29)
- Theory of Phase Ordering Kinetics
- Recent advances in percolation theory and its applications
- Random Walks, Reaction-Diffusion, and Nonequilibrium Dynamics of Spin Chains in One-dimensional Random Environments
- Freezing into Stripe States in Two-Dimensional Ferromagnets and Crossing Probabilities in Critical Percolation
- Domain Growth in Ising Systems with Quenched Disorder
- Exact results for curvature-driven coarsening in two dimensions
- Domain growth morphology in curvature driven two dimensional coarsening
- Nonequilibrium dynamics of random field Ising spin chains: exact results via real space RG
- Domain Growth in Random Magnets
- Crossover in Growth Law and Violation of Superuniversality in the Random Field Ising Model
- Winding angle variance of Fortuin-Kasteleyn contours
- Fate of 2D Kinetic Ising Ferromagnets and Critical Percolation Crossing Probabilities
- Ageing in disordered magnets and local scale-invariance
- Growing correlations and aging of an elastic line in a random potential
- Geometry of phase separation
- Off equilibrium response function in the one dimensional random field Ising model
- Growth Law and Superuniversality in the Coarsening of Disordered Ferromagnets
- Superuniversality in phase-ordering disordered ferromagnets
- How soon after a zero-temperature quench is the fate of the Ising model sealed?
- Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
- Aging in coarsening diluted ferromagnets
- Scaling in Late Stage Spinodal Decomposition with Quenched Disorder
- Super-Aging in two-dimensional random ferromagnets
- Geometric properties of two-dimensional coarsening with weak disorder
- Coarsening in inhomogeneous systems
- Frozen into stripes: fate of the critical Ising model after a quench
- Scaling in the Aging Dynamics of the Site-diluted Ising Model
- Phase ordering in disordered and inhomogeneous systems
- Phase ordering in 3d disordered systems
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- Asymptotic States of Ising Ferromagnets with Long-range Interactions
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- Nonequilibrium critical dynamics of the two-dimensional Ising model
- Growth Kinetics and Aging Phenomena in a Frustrated System
- High-degeneracy Potts coarsening
- Coarsening and percolation in the Ising Model with quenched disorder
- Critical clusters in liquid crystals: Fractal geometry and conformal invariance
- Anomalous Ising freezing times
- Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
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- Field-induced freezing in the unfrustrated Ising antiferromagnet
- Dilution of Ferromagnets via a Random Graph-based Strategy