Phase ordering induced by defects in chaotic bistable media

Abstract

The phase ordering dynamics of bistable chaotic coupled maps on lattices with defects is investigated. The statistical properties of the system are characterized through the spatial correlation function of the local map phases and the average fraction of neighboring pairs that have opposite phase. The dynamics is studied on lattices with defects with a minimum distance between randomly distributed defects is imposed. We found a critical value of the defects density above which the phases are frozen. The larger size domain phase show several discontinuities and other features as a function of both the coupling strength and the density of defects. A critical boundary separating a homogeneous phase region from a region of coexistence of two phases is calculated on the space of parameters of the system.