Acta Physica Polonica B

Vol. 37, No. 5, May 2006, page 1571


Time Evolution of the Reaction Front in the System with One Static and One Subdiffusive Reactant

T. Kosztolowicz, K.D. Lewandowska

We study a subdiffusion-reaction system with initially separated reactants in the case where one of the reactants is static. Using the scaling method we show that the reaction front xf evolves in time according to the power law xf\sim t\alpha /2 where \alpha is the subdiffusion parameter. Comparing the theoretical formula with the experimental data we find that the transport of acids molecules inside the tooth enamel during the caries progress is of subdiffusive character.

PACS numbers: 82.33.Ln, 02.50.Ey



 
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