title: Solution of a one-dimensional stochastic model with branching and coagulation reactions.
abstract: We solve a one-dimensional stochastic model of interacting particles on a chain. Particles can have branching and coagulation reactions; they can also appear on an empty site and disappear spontaneously. This model, which can be viewed as an epidemic model and/or as a generalization of the voter model, is treated analytically beyond the conventional solvable situations. With help of a suitably chosen string function, which is simply related to the density and the noninstantaneous two-point correlation functions of the particles, exact expressions of the density and of the noninstantaneous two-point correlation functions, as well as the relaxation spectrum are obtained on a finite and periodic lattice.
authors.affiliation: Institute of Theoretical Physics, Swiss Federal Institute of Technology of Lausanne, CH-1015 Lausanne, Switzerland.
authors.forename: M
authors.initials: M
authors.lastname: Mobilia
authors.forename: P A
authors.initials: PA
authors.lastname: Bares