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Front propagation in the A+B->2A reaction under subdiffusion
Froemberg, D.; Schmidt-Martens, H.; Sokolov, Igor M., 1958-; Sagués i Mestre, Francesc
Universitat de Barcelona
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.
2011-07-26
Física estadística
Dinàmica
Termodinàmica
Sistemes no lineals
Química física
Statistical physics
Thermodynamics
Nonlinear systems
Dynamics
Physical chemistry
(c) American Physical Society, 2008
Article
The American Physical Society
         

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