title: Solvable multispecies reaction-diffusion processes.
abstract: A family of one-dimensional multispecies 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 is also investigated.
authors.affiliation: Institute for Advanced Studies in Basic Sciences, P. O. Box 159, Zanjan 45195, Iran. roshani@iasbs.ac.ir
authors.forename: F
authors.initials: F
authors.lastname: Roshani
authors.forename: M
authors.initials: M
authors.lastname: Khorrami
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods*; D004058:Diffusion; D008433:Mathematics; D008962:Models, Theoretical