Adiabatic kinetics in the theory of diffusion-limited recombination. II

For pt.I see ibid., vol.25, p.5283-95, (1992). Deterministic evolution that corresponds to the adiabatic Liouvillean for recombination A+B to 0 derived in the preceding paper I, is found. It is expressed by a set of linear kinetics equations for occupation numbers, nsigma i(t), sigma =a,b and describes flows of particles inside domains to time-independent interfaces between A and B phases, where the particles annihilate. The interface locations are defined by a static 'potential'. Averaging of nsigma i(t) has been carried out both over random distribution of locations of interfaces and a Gaussian distribution of initial density profile. For an arbitrary fraction of initial species and comparable diffusion coefficients, the expectation value of density decays as t-d/2, while standard variance, (( delta csigma i)2)1/2, decreases more slowly at t to infinity , i.e. a t-d/4 for the d-dimensional case, pointing to the importance of initial fluctuations for the deterministic kinetics.