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Title: Front propagation in the A+B->2A reaction under subdiffusion
Author: Froemberg, D.
Schmidt-Martens, H.
Sokolov, Igor M., 1958-
Sagués i Mestre, Francesc
Keywords: Física estadística
Sistemes no lineals
Química física
Statistical physics
Nonlinear systems
Physical chemistry
Issue Date: 2008
Publisher: The American Physical Society
Abstract: We consider an irreversible autocatalytic conversion reaction A+B->2A under subdiffusion described by continuous-time random walks. The reactants transformations take place independently of their motion and are described by constant rates. The analog of this reaction in the case of normal diffusion is described by the Fisher-Kolmogorov-Petrovskii-Piskunov equation leading to the existence of a nonzero minimal front propagation velocity, which is really attained by the front in its stable motion. We show that for subdiffusion, this minimal propagation velocity is zero, which suggests propagation failure.
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It is part of: Physical Review E, 2008, vol. 78, núm. 1, p. 011128-1-011128-4
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Ciència dels Materials i Química Física)

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