Application of hyperbolic scaling for calculation of reaction-subdiffusion front propagation
A. Iomin, I. M. Sokolov
TL;DR
This paper introduces a hyperbolic scaling technique, inspired by geometric optics, to accurately calculate the velocity of reaction fronts in subdiffusive autocatalytic reactions, addressing previous propagation failure issues.
Contribution
It presents a novel application of hyperbolic scaling to reaction-subdiffusion systems, improving the understanding of front propagation in such complex media.
Findings
Successful calculation of reaction front velocity in subdiffusive systems
Identification of propagation failure in previous models
Application of geometric optics approach to reaction-diffusion problems
Abstract
A technique of hyperbolic scaling is applied to calculate a reaction front velocity in an irreversible autocatalytic conversion reaction 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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