Coarsening and percolation in the Ising Model with quenched disorder
arXiv:1711.04562 · doi:10.1088/1742-6596/956/1/012018
Abstract
Through large-scale numerical simulations, we study the phase ordering kinetics of the Ising Model after a zero-temperature quench from a high-temperature homogeneous initial condition. Analysing the behaviour of two important quantities -- the winding angle and the pair-connectedness -- we reveal the presence of a percolating structure in the pattern of domains. We focus on the pure case and on the random field and random bond Ising Model.
6 pages, 4 figures. To appear on Journal of Physics: Conference Series (2018)
References in corpus (8)
- Recent advances in percolation theory and its applications
- Exact results for curvature-driven coarsening in two dimensions
- Domain growth morphology in curvature driven two dimensional coarsening
- Winding angle variance of Fortuin-Kasteleyn contours
- How soon after a zero-temperature quench is the fate of the Ising model sealed?
- Geometric properties of two-dimensional coarsening with weak disorder
- Coarsening in inhomogeneous systems
- Coarsening and percolation in a disordered ferromagnet