Multi-species reaction-diffusion models admitting shock solutions

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.

21 pages

References in corpus (4)

• Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities
• Shocks in the asymmetric exclusion process with internal degree of freedom
• The Study of Shocks in Three-States Driven-Diffusive Systems: A Matrix Product Approach
• Dynamical phase transition in one-dimensional kinetic Ising model with nonuniform coupling constants