On the solvable multi-species reaction-diffusion processes

Details On the solvable multi-species reaction-diffusion processes On the solvable multi-species reaction-diffusion processes

2001-01-10

arxiv.org/abs/cond-mat/0101127v1

Phys. Rev. E64 (2001) 011101

Physics

Condensed Matter

Statistical Mechanics

13 pages, LaTeX2e

Scientific paper

10.1103/PhysRevE.64.011101

A family of one-dimensional multi-species reaction-diffusion processes on a lattice is introduced. It is shown that these processes are exactly solvable, provided a nonspectral matrix equation is satisfied. Some general remarks on the solutions to this equation, and some special solutions are given. The large-time behavior of the conditional probabilities of such systems are also investigated.

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