Solvable reaction-diffusion processes without exclusion
Statistical Mechanics
2009-11-11 v1
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.
Cite
@article{arxiv.cond-mat/0601155,
title = {Solvable reaction-diffusion processes without exclusion},
author = {M. Alimohammadi},
journal= {arXiv preprint arXiv:cond-mat/0601155},
year = {2009}
}
Comments
13 pages, accepted for publication in Jour. Math. Phys