Multi-species extension of the solvable partially asymmetric reaction- diffusion processes

Abstract

By considering the master equation of the partially asymmetric diffusion process on a one-dimensional lattice, the most general boundary condition (i.e. interactions) for the multi-species reaction-diffusion processes is considered. Resulting system has various interactions including diffusion to left and right, two-particle interactions $A_a{A}_b-->A_c{A}_d$ and the extended n-particle drop-push interactions to left and right. We obtain three distinct new models. The conditions on reaction rates to ensure the solvability of the resulting models are obtained. The two-particle conditional probabilities are calculated exactly.

arXiv comment17 pages, accepted for publication in J. Math. Phys. (2005)

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Cited by in corpus (3)

• Dynamic Boundaries in Asymmetric Exclusion Processes
• Solvable reaction-diffusion processes without exclusion
• Solvable multi-species reaction-diffusion processes, with particle-dependent hopping rates