Rescaling of diffusion coefficients in two-time scale chemical systems

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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: JOUR
Acceso en línea: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 todo:paper_00219606_v112_n2_p825_Strier2023-10-03T14:23:59Z Rescaling of diffusion coefficients in two-time scale chemical systems Strier, D.E. Dawson, S.P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
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
url http://hdl.handle.net/20.500.12110/paper_00219606_v112_n2_p825_Strier
work_keys_str_mv AT strierde rescalingofdiffusioncoefficientsintwotimescalechemicalsystems
AT dawsonsp rescalingofdiffusioncoefficientsintwotimescalechemicalsystems
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