Distribution in flowing reaction-diffusion systems.
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.
Kamimura
Atsushi
A
Computational Physics for Engineering Materials, IfB, ETH Zürich, Schafmattstrasse 6, CH-8093 Zürich, Switzerland.
Herrmann
Hans J
HJ
Ito
Nobuyasu
N
D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D015233:Models, Statistical; D012212:Rheology / Q000379:methods*