摘要 : We study the transient dynamics of an A + B → 0 process on a pair of randomly coupled networks, where reactants are initially separated.We find that, for sufficiently small fractions q of cross couplings, the concentration of A (o... 展开 We study the transient dynamics of an A + B → 0 process on a pair of randomly coupled networks, where reactants are initially separated.We find that, for sufficiently small fractions q of cross couplings, the concentration of A (or B) particles decays linearly in a first stage and crosses over to a second linear decrease at a mixing time tx . By numerical and analytical arguments, we show that for symmetric and homogeneous structures tx ∝ (~(〈k〉)/q) log(~(〈k〉)/q) where 〈k〉 is the mean degree of both networks. Being this behavior is in marked contrast with a purely diffusive process, where the mixing time would go simply like 〈k〉/q, we identify the logarithmic slowing down in t_x to be the result of a spontaneous mechanism of repulsion between the reactants A and B due to the interactions taking place at the networks' interface. We show numerically how this spontaneous repulsion effect depends on the topology of the underlying networks. 收起