Phase growth in bistable systems with impurities
arXiv:0707.4495 · doi:10.1103/PhysRevE.77.016204
Abstract
A system of coupled chaotic bistable maps on a lattice with randomly distributed impurities is investigated as a model for studying the phenomenon of phase growth in nonuniform media. The statistical properties of the system are characterized by means of the average size of spatial domains of equivalent spin variables that define the phases. It is found that the rate at which phase domains grow becomes smaller when impurities are present and that the average size of the resulting domains in the inhomogeneous state of the system decreases when the density of impurities is increased. The phase diagram showing regions where homogeneous, heterogeneous, and chessboard patterns occur on the space of parameters of the system is obtained. A critical boundary that separates the regime of slow growth of domains from the regime of fast growth in the heterogeneous region of the phase diagram is calculated. The transition between these two growth regimes is explained in terms of the stability properties of the local phase configurations. Our results show that the inclusion of spatial inhomogeneities can be used as a control mechanism for the size and growth velocity of phase domains forming in spatiotemporal systems.
7 pages, 12 figures
References in corpus (8)
- Domain Growth in Ising Systems with Quenched Disorder
- Phase Ordering and Onset of Collective Behavior in Chaotic Coupled Map Lattices
- Turbulence in small-world networks
- Phase Transitions in a Forest-Fire Model
- Phase-ordering and persistence: relative effects of space-discretization, chaos, and anisotropy
- Phase Ordering in Chaotic Map Lattices with Additive Noise
- Phase separation in coupled chaotic maps on fractal networks
- Antiferromagnetic effects in Chaotic Map lattices with a conservation law