%0 Journal Article %1 WOS:000273227500043 %A Kamimura, Atsushi %A Herrmann, Hans J %A Ito, Nobuyasu %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2009 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW E %K reaction-diffusion reactions; segregation} systems; {chemical %N 6, 1 %R 10.1103/PhysRevE.80.061132 %T Distribution in flowing reaction-diffusion systems %V 80 %X 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.

@article{WOS:000273227500043, abstract = {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.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Kamimura, Atsushi and Herrmann, Hans J and Ito, Nobuyasu}, biburl = {https://www.bibsonomy.org/bibtex/2d51e2665b0fca103c2867822535d1fbe/ppgfis_ufc_br}, doi = {10.1103/PhysRevE.80.061132}, interhash = {2b8d7e8f25e6ba0bbdfc4e1813a912d1}, intrahash = {d51e2665b0fca103c2867822535d1fbe}, issn = {1539-3755}, journal = {PHYSICAL REVIEW E}, keywords = {reaction-diffusion reactions; segregation} systems; {chemical}, number = {6, 1}, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Distribution in flowing reaction-diffusion systems}, tppubtype = {article}, volume = 80, year = 2009 }