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2008

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18918

Front propagation in the A+B->2A reaction under subdiffusion

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http://dx.doi.org/10.1103/PhysRevE.78.011128

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.

Subject

Física estadística, Dinàmica, Termodinàmica, Sistemes no lineals, Química física

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Statistical physics, Thermodynamics, Nonlinear systems, Dynamics, Physical chemistry

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Articles publicats en revistes (Ciència dels Materials i Química Física)

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FROEMBERG, D., et al. Front propagation in the A+B->2A reaction under subdiffusion. Physical Review E. 2008. Vol. 78, num. 1, pags. 011128-1-011128-4. ISSN 1063-651X. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/18918

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