Abstract
The effect of an external, stochastic particle input on density fluctuations at nonequilibrium steady states in diffusion–reaction systems is studied using the fluctuation dissipation theory. The following reactions are analyzed: unimolecular decay A→P; one-species bimolecular annihilation A+A→P; and two-species bimolecular annihilation A+B→P. Two mechanisms of particle input are considered: (i) random creation of individual particles, (ii) random creation of geminate pairs. For three-dimensional systems the variance of the particle number in an arbitrary spherical volume is calculated. In one and two dimensions the reaction A+B→P does not achieve a homogeneous steady state if the input of A’s is not correlated with the input of B’s. The origin of this effect is discussed.
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