Distribution in flowing reaction-diffusion systems

Atsushi Kamimura; Hans J. Herrmann; Nobuyasu Ito

doi:10.1103/PhysRevE.80.061132

Distribution in flowing reaction-diffusion systems

Atsushi Kamimura, Hans J. Herrmann, Nobuyasu Ito

Research output: Contribution to journal › Article › peer-review

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. © 2009 The American Physical Society.

Original language	English (US)
Journal	Physical Review E
Volume	80
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.80.061132
State	Published - Dec 28 2009
Externally published	Yes

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10.1103/PhysRevE.80.061132

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@article{5037601873034ef4b38238431f3c81a8,

title = "Distribution in flowing reaction-diffusion systems",

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. {\textcopyright} 2009 The American Physical Society.",

author = "Atsushi Kamimura and Herrmann, {Hans J.} and Nobuyasu Ito",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-I1-00504 Acknowledgements: A. K. acknowledges support from International Academic Exchange Grant Program of the University of Tokyo and the Japan Society for the Promotion of Science. N.I. is supported by the Japan Society for the Promotion of Science (Grant No. 19340110) and KAUST, GRP (Grant No. KUK-I1-00504). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2009",

month = dec,

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doi = "10.1103/PhysRevE.80.061132",

language = "English (US)",

volume = "80",

journal = "Physical Review E",

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AU - Kamimura, Atsushi

AU - Herrmann, Hans J.

AU - Ito, Nobuyasu

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUK-I1-00504 Acknowledgements: A. K. acknowledges support from International Academic Exchange Grant Program of the University of Tokyo and the Japan Society for the Promotion of Science. N.I. is supported by the Japan Society for the Promotion of Science (Grant No. 19340110) and KAUST, GRP (Grant No. KUK-I1-00504). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2009/12/28

Y1 - 2009/12/28

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/598000

UR - https://link.aps.org/doi/10.1103/PhysRevE.80.061132

UR - http://www.scopus.com/inward/record.url?scp=77149151895&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.80.061132

DO - 10.1103/PhysRevE.80.061132

M3 - Article

C2 - 20365143

SN - 1539-3755

VL - 80

JO - Physical Review E

JF - Physical Review E

IS - 6

ER -

Distribution in flowing reaction-diffusion systems

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