English

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

Statistical Mechanics 2015-06-11 v1 Disordered Systems and Neural Networks Soft Condensed Matter

Abstract

A technique of hyperbolic scaling is applied to calculate a reaction front velocity in an irreversible autocatalytic conversion reaction A+B2AA+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).

Keywords

Cite

@article{arxiv.1210.2232,
  title  = {Application of hyperbolic scaling for calculation of reaction-subdiffusion front propagation},
  author = {A. Iomin and I. M. Sokolov},
  journal= {arXiv preprint arXiv:1210.2232},
  year   = {2015}
}