Continuously varying exponents in reaction-diffusion systems

We propose a simple reaction-diffusion model-describing a class of competitive multi-species reactions. The model is exactly solvable at its upper critical dimension du=2. The local moments of the component concentrations follow a power-law decay with exponents which vary continuously with system parameters. The exponents also have an underlying multifractal spectrum. The main results are supported by results from a numerical integration of the model