Application of hyperbolic scaling for calculation of reaction-subdiffusion front propagation

preprint2012arXivOpen access

Abstract

A technique of hyperbolic scaling is applied to calculate a reaction front velocity in an irreversible autocatalytic conversion reaction A+B → 2AA+B\,\rightarrow\, 2A under subdiffusion. The method, based on the geometric optics approach is a technically elegant observation of the propagation front failure obtained in Phys. Rev. E {\bf 78}, 011128 (2008).

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