We investigate how additive weak noise (correlated as well as uncorrelated) modifies the parameters of the Gray–scott reaction diffusion system by performing numerical simulations and applying a renormalization group (RG) analysis in the neighborhood of the spatial scale where biochemical...

We present a response theory for random channel kinetics, based on the method of characteristic functionals. We assume that the fluctuations of the rate coefficients are generated by the contributions of a large number of reaction channels, and can be described in terms of a set of grand...