Zusammenfassung
A power-law distribution is found in the density profile of reacting
systems A+B -> C+D and 2A -> 2C under a flow in two and three
dimensions. Different densities of reactants A and B are fixed at both
ends. For the reaction A+B, the concentration of reactants
asymptotically decay in space as x(-1/2) and x(-3/4) in two dimensions
and three dimensions, respectively. For 2A, it decays as log(x)/x in two
dimensions. The decay of A+B is explained considering the effect of
segregation of reactants in the isotropic case. The decay for 2A is
explained by the marginal behavior of two-dimensional diffusion. A
logarithmic divergence of the diffusion constant with system size is
found in two dimensions.
Nutzer