Abstract:
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.
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Citas:
---------- APA ----------
Strier, D.E. & Dawson, S.P.
(2000)
. Rescaling of diffusion coefficients in two-time scale chemical systems. Journal of Chemical Physics, 112(2), 825-834.
http://dx.doi.org/10.1063/1.480650---------- CHICAGO ----------
Strier, D.E., Dawson, S.P.
"Rescaling of diffusion coefficients in two-time scale chemical systems"
. Journal of Chemical Physics 112, no. 2
(2000) : 825-834.
http://dx.doi.org/10.1063/1.480650---------- MLA ----------
Strier, D.E., Dawson, S.P.
"Rescaling of diffusion coefficients in two-time scale chemical systems"
. Journal of Chemical Physics, vol. 112, no. 2, 2000, pp. 825-834.
http://dx.doi.org/10.1063/1.480650---------- VANCOUVER ----------
Strier, D.E., Dawson, S.P. Rescaling of diffusion coefficients in two-time scale chemical systems. J Chem Phys. 2000;112(2):825-834.
http://dx.doi.org/10.1063/1.480650