Geometric properties of two-dimensional coarsening with weak disorder

Abstract

The domain morphology of weakly disordered ferromagnets, quenched from the high-temperature phase to the low-temperature phase, is studied using numerical simulations. We find that the geometrical properties of the coarsening domain structure, e.g., the distributions of hull enclosed areas and domain perimeter lengths, are described by a scaling phenomenology in which the growing domain scale R(t) is the only relevant parameter. Furthermore, the scaling functions have forms identical to those of the corresponding pure system, extending the 'super-universality' property previously noted for the pair correlation function.

6 pages, 6 figures

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• Domain growth morphology in curvature driven two dimensional coarsening
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Cited by in corpus (26)

• Crossover in Growth Law and Violation of Superuniversality in the Random Field Ising Model
• Geometry of phase separation
• Curvature-driven coarsening in the two dimensional Potts model
• Superuniversality in phase-ordering disordered ferromagnets
• Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
• Topics in coarsening phenomena
• Experimental test of curvature-driven dynamics in the phase ordering of a two dimensional liquid crystal
• Eigenvalue method to compute the largest relaxation time of disordered systems
• Coarsening in inhomogeneous systems
• Critical percolation in the dynamics of the 2d ferromagnetic Ising model
• Scaling in the Aging Dynamics of the Site-diluted Ising Model
• Coarsening and percolation in a disordered ferromagnet
• Percolation and coarsening in the bidimensional voter model
• Quench dynamics of the three-dimensional U(1) complex field theory: geometric and scaling characterisation of the vortex tangle
• Critical percolation in the slow cooling of the bi-dimensional ferromagnetic Ising model
• Driven-dissipative ising model: mean field solution
• Fractal character of the phase ordering kinetics of a diluted ferromagnet
• Phase ordering in disordered and inhomogeneous systems
• Dynamical cluster size heterogeneity
• Topological regulation of activation barriers on fractal substrates
• Phase ordering in 3d disordered systems
• Coarsening and percolation in the Ising Model with quenched disorder
• Differences in the scaling laws of canonical and microcanonical coarsening dynamics for long-range interacting systems
• Critical clusters in liquid crystals: Fractal geometry and conformal invariance
• Ordering kinetics in q-state random-bond clock model: Role of Vortices and Interfaces
• On a relation between roughening and coarsening