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

Published 8 Oct 2012 in cond-mat.stat-mech, cond-mat.dis-nn, and cond-mat.soft | (1210.2232v1)

Abstract: A technique of hyperbolic scaling is applied to calculate a reaction front velocity in an irreversible autocatalytic conversion reaction $A+B\,\rightarrow\, 2A$ 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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