Stochastic properties of autowave turbulence elimination

The complex spatio-temporal behavior due to spiral breakup and wave interaction, in a 2D reaction diffusion system is eliminated by spatially uniform perturbation. This autowave turbulence is modeled by a stochastic process of defect production and annihilation. The constructed solution agrees well with probabilities – in particular probability to have no defects – estimated from the reaction diffusion system. The time to extinction, related to the probability of eliminating all defects, depends on the medium size and the applied perturbation amplitude.