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http://hdl.handle.net/2445/18918
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 Dinàmica Termodinàmica Sistemes no lineals Química física Statistical physics Thermodynamics Nonlinear systems Dynamics 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. |
Note: | Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.78.011128 |
It is part of: | Physical Review E, 2008, vol. 78, núm. 1, p. 011128-1-011128-4 |
URI: | http://hdl.handle.net/2445/18918 |
Related resource: | http://dx.doi.org/10.1103/PhysRevE.78.011128 |
ISSN: | 1063-651X |
Appears in Collections: | Articles publicats en revistes (Ciència dels Materials i Química Física) |
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