Distribution in flowing reaction-diffusion systems

Atsushi Kamimura, Hans J. Herrmann, Nobuyasu Ito

Research output: Contribution to journalArticlepeer-review


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. © 2009 The American Physical Society.
Original languageEnglish (US)
JournalPhysical Review E
Issue number6
StatePublished - Dec 28 2009
Externally publishedYes


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