Spiral chemical waves subjected to a spatiotemporal random excitability are
experimentally and numerically investigated in relation to the light-sensi
tive Belousov-Zhabotinsky reaction. Brownian motion is identified and chara
cterized by an effective diffusion coefficient which shows a rather complex
dependence on the time and length scales of the noise relative to those of
the spiral. A kinematically based model is proposed whose results are in g
ood qualitative agreement with experiments and numerics.