Abstract
The diffusion-limited reaction proposed by Anacker and Kopelman is investigated by means of correlation functions. This system is self-organized at a stationary state irrespective of initial conditions. In the present article we theoretically find the power-law spectra for the fluctuation of reactant densities: the power spectrum in d-dimensional system is proportional to f−1 (f=frequency) for d=2 and f−3⁄2 for d=1. Computer simulations comfirm the result for d=1. On the other hand, in the case of d=2, good agreement between theoretical and numerical results is not yet obtained.
