Gm. Schutz, NONEQUILIBRIUM CORRELATION-FUNCTIONS IN THE A-]0 SYSTEM WITH DRIVEN DIFFUSION(A), Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(2), 1996, pp. 1475-1478
We solve the one-dimensional stochastic reaction-diffusion system A A --> 0 with driven diffusional relaxation and hard-core particles. Fl
uctuations in the total density (i.e., the mth moments (N-m) of the de
nsity distribution at any time t greater than or equal to 0) do not de
pend on the driving held, irrespective of the initial condition. For r
andom initial conditions even local density fluctuations do not depend
on the driving. A local perturbation in a random initial state evolve
s diffusively with a superimposed algebraic decay in time. The effect
of the driving can be absorbed in a Galilei transformation.