Solvable reaction-diffusion processes without exclusion

Abstract

For reaction-diffusion processes without exclusion, in which the particles can exist in the same site of a one-dimensional lattice, we study all the integrable models which can be obtained by imposing a boundary condition on the master equation of the asymmetric diffusion process. The annihilation process is also added. The Bethe ansatz solution and the exact N-particle conditional probabilities are obtained.

13 pages, accepted for publication in Jour. Math. Phys

References in corpus (2)

• Solvable multi-species reaction-diffusion processes, including the extended drop-push model
• Multi-species extension of the solvable partially asymmetric reaction- diffusion processes

Cited by in corpus (1)

• Class of solvable reaction-diffusion processes on Cayley tree