Handle URI:
http://hdl.handle.net/10754/598000
Title:
Distribution in flowing reaction-diffusion systems
Authors:
Kamimura, Atsushi; Herrmann, Hans J.; Ito, Nobuyasu
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.
Citation:
Kamimura A, Herrmann HJ, Ito N (2009) Distribution in flowing reaction-diffusion systems. Phys Rev E 80. Available: http://dx.doi.org/10.1103/PhysRevE.80.061132.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-I1-00504
Issue Date:
28-Dec-2009
DOI:
10.1103/PhysRevE.80.061132
PubMed ID:
20365143
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
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).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorKamimura, Atsushien
dc.contributor.authorHerrmann, Hans J.en
dc.contributor.authorIto, Nobuyasuen
dc.date.accessioned2016-02-25T13:10:42Zen
dc.date.available2016-02-25T13:10:42Zen
dc.date.issued2009-12-28en
dc.identifier.citationKamimura A, Herrmann HJ, Ito N (2009) Distribution in flowing reaction-diffusion systems. Phys Rev E 80. Available: http://dx.doi.org/10.1103/PhysRevE.80.061132.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid20365143en
dc.identifier.doi10.1103/PhysRevE.80.061132en
dc.identifier.urihttp://hdl.handle.net/10754/598000en
dc.description.abstractA 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.en
dc.description.sponsorshipA. 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).en
dc.publisherAmerican Physical Society (APS)en
dc.titleDistribution in flowing reaction-diffusion systemsen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionEidgenossische Technische Hochschule Zurich, Zurich, Switzerlanden
dc.contributor.institutionUniversity of Tokyo, Tokyo, Japanen
dc.contributor.institutionUniversidade Federal do Ceara, Fortaleza, Brazilen
kaust.grant.numberKUK-I1-00504en

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