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In absence of advection, reaction-diffusion systems are able to organize intospatiotemporal patterns, in particular spiral and target waves. Wheneveradvection is present and can be parameterised in terms of effective orturbulent diffusion $D_{*}$, these patterns should be attainable on muchgreater, boosted lengthscale. However, so far, experimental evidence of theseboosted patterns in turbulent flow was lacking. Here, we report the firstexperimental observation of boosted target and spiral patterns in an excitablechemical reaction in a quasi two-dimensional turbulent flow. The wave patternsobserved are $\sim 50$ times larger than in the case of molecular diffusiononly. We vary the turbulent diffusion coefficient $D_{*}$ of the flow and findthat the fundamental Fisher-Kolmogorov-Petrovsky-Piskunov (FKPP) equation$v_{f} \propto \sqrt{D_{*}}$ for the asymptotic speed of a reactive waveremains valid. However, not all measures of the boosted wave scale with $D_{*}$as expected from molecular diffusion, since the wavefronts turn out to behighly filamentous.

Large spiral and target waves: Turbulent diffusion boosts scales of pattern formation