Clues on chemical mechanisms from renormalizability: The example of a noisy cubic autocatalytic model

We study the effect of external power-law noise on the renormalizability of a specific reaction-diffusion system of equations describing a cubic autocatalytic chemical reaction. We show that changing the noise exponent modifies the divergence structure of loop integrals and thus the renormalizability of the model. The effects of noise-generated higher order interactions are discussed. We show how noise induces new interaction terms that can be interpreted as a manifestation of some (internal) “chemical mechanism”. We also show how ideas of effective field theory can be applied to construct a more fundamental chemical model for this system.