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, Damián, Ponce Dawson, Silvina
Publicado: 2000
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v112_n2_p825_Strier
http://hdl.handle.net/20.500.12110/paper_00219606_v112_n2_p825_Strier
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00219606_v112_n2_p825_Strier2023-06-08T14:44:02Z Rescaling of diffusion coefficients in two-time scale chemical systems Strier, Damián Ponce Dawson, Silvina 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. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v112_n2_p825_Strier http://hdl.handle.net/20.500.12110/paper_00219606_v112_n2_p825_Strier
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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.
author Strier, Damián
Ponce Dawson, Silvina
spellingShingle Strier, Damián
Ponce Dawson, Silvina
Rescaling of diffusion coefficients in two-time scale chemical systems
author_facet Strier, Damián
Ponce Dawson, Silvina
author_sort Strier, Damián
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219606_v112_n2_p825_Strier
http://hdl.handle.net/20.500.12110/paper_00219606_v112_n2_p825_Strier
work_keys_str_mv AT strierdamian rescalingofdiffusioncoefficientsintwotimescalechemicalsystems
AT poncedawsonsilvina rescalingofdiffusioncoefficientsintwotimescalechemicalsystems
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