Rescaling of diffusion coefficients in two-time scale chemical systems

We study reaction-diffusion systems which involve processes that occur on different time scales. In particular, we apply a multiscale analysis to obtain a reduced description of the slow dynamics. Under certain assumptions this reduction yields a new set of reaction-diffusion equations with rescaled...

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Autores principales: Strier, D.E., Dawson, S.P.
Formato: Artículo publishedVersion
Publicado: 2000
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00219606_v112_n2_p825_Strier
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00219606_v112_n2_p825_Strier_oai
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spelling I28-R145-paper_00219606_v112_n2_p825_Strier_oai2024-08-16 Strier, D.E. Dawson, S.P. 2000 We study reaction-diffusion systems which involve processes that occur on different time scales. In particular, we apply a multiscale analysis to obtain a reduced description of the slow dynamics. Under certain assumptions this reduction yields a new set of reaction-diffusion equations with rescaled diffusion coefficients. We analyze the Selkov model [E. E. Selkov, Eur. J. Biochem. 4, 79 (1968)] and the ferrocyanide-iodide-sulfite reaction [E. C. Edblom et al., J. Am. Chem. Soc. 108, 2826 (1986)] to determine whether the rescaling in this case may account for the difference of diffusivities that the formation of certain types of patterns requires. © 2000 American Institute of Physics. Fil:Strier, D.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dawson, S.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00219606_v112_n2_p825_Strier info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J Chem Phys 2000;112(2):825-834 Rescaling of diffusion coefficients in two-time scale chemical systems info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00219606_v112_n2_p825_Strier_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
description We study reaction-diffusion systems which involve processes that occur on different time scales. In particular, we apply a multiscale analysis to obtain a reduced description of the slow dynamics. Under certain assumptions this reduction yields a new set of reaction-diffusion equations with rescaled diffusion coefficients. We analyze the Selkov model [E. E. Selkov, Eur. J. Biochem. 4, 79 (1968)] and the ferrocyanide-iodide-sulfite reaction [E. C. Edblom et al., J. Am. Chem. Soc. 108, 2826 (1986)] to determine whether the rescaling in this case may account for the difference of diffusivities that the formation of certain types of patterns requires. © 2000 American Institute of Physics.
format Artículo
Artículo
publishedVersion
author Strier, D.E.
Dawson, S.P.
spellingShingle Strier, D.E.
Dawson, S.P.
Rescaling of diffusion coefficients in two-time scale chemical systems
author_facet Strier, D.E.
Dawson, S.P.
author_sort Strier, D.E.
title Rescaling of diffusion coefficients in two-time scale chemical systems
title_short Rescaling of diffusion coefficients in two-time scale chemical systems
title_full Rescaling of diffusion coefficients in two-time scale chemical systems
title_fullStr Rescaling of diffusion coefficients in two-time scale chemical systems
title_full_unstemmed Rescaling of diffusion coefficients in two-time scale chemical systems
title_sort rescaling of diffusion coefficients in two-time scale chemical systems
publishDate 2000
url http://hdl.handle.net/20.500.12110/paper_00219606_v112_n2_p825_Strier
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00219606_v112_n2_p825_Strier_oai
work_keys_str_mv AT strierde rescalingofdiffusioncoefficientsintwotimescalechemicalsystems
AT dawsonsp rescalingofdiffusioncoefficientsintwotimescalechemicalsystems
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