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arXiv · 1012.5540

Multi-species reaction-diffusion models admitting shock solutions

S. Masoomeh Hashemi·Amir Aghamohammadi
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Abstract

A method for classifying $n$-species reaction-diffusion models, admitting shock solutions is presented. The most general one-dimensional two-species reaction-diffusion model with nearest neighbor interactions admitting uniform product measures as the stationary states is studied. Satisfying more constraints, these models may experience single-shock solutions. These models are generalized to multi-species models. The two-species models are studied in detail. Dynamical phase transitions of such models are also investigated.

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S. Masoomeh Hashemi, Amir Aghamohammadi. 2011-01-02. Multi-species reaction-diffusion models admitting shock solutions. https://doi.org/10.1088/1742-5468%2F2010%2F12%2Fp12035

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