Effective medium approach for heterogeneous reaction-diffusion media
Effective medium approach for heterogeneous reaction-diffusion media
Publication Type:
Journal ArticleSource:
Journal of Chemical Physics, Volume 131, Number 21 (2009)URL:
https://www.scopus.com/inward/record.uri?eid=2-s2.0-72049114197&doi=10.1063%2f1.3265987&partnerID=40&md5=b85b9f006e69649de7129394cf753bdaKeywords:
Bistables, Diffusion in liquids, Diffusion length, Effective diffusion, Effective medium, Effective medium theories, Forecasting, Front velocity, Heterogeneous reactions, Quantitative agreement, Reaction rate coefficients, Reaction rates, Small diffusion, Theoretical predictionAbstract:
An effective medium theory that can be used to calculate effective diffusion and reaction rate coefficients in random heterogeneous reaction-diffusion systems is described. The predictions of the theory are compared with simulations of spatially distributed media with different types of heterogeneity. The magnitude of the front velocity in bistable media is used to gauge the accuracy of the theoretical predictions. Quantitative agreement is found if the diffusion length in the heterogeneities is large compared to the characteristic width of the front. However, for small diffusion lengths the agreement depends on the type of heterogeneity. The effective medium predictions are also compared with simulations on systems with regular or temporal disorder. © 2009 American Institute of Physics.
