Multi-species reaction-diffusion models admitting shock solutions

Details Multi-species reaction-diffusion models admitting shock solutions Multi-species reaction-diffusion models admitting shock solutions

2010-12-26

arxiv.org/abs/1012.5540v2

Journal of Statistical Mechanics: Theory and Experiment (2010) P12035

Physics

Condensed Matter

Statistical Mechanics

21 pages

Scientific paper

10.1088/1742-5468/2010/12/P12035

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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