Multi-species extension of the solvable partially asymmetric reaction- diffusion processes
Statistical Mechanics
2009-11-11 v1
Abstract
By considering the master equation of the partially asymmetric diffusion process on a one-dimensional lattice, the most general boundary condition (i.e. interactions) for the multi-species reaction-diffusion processes is considered. Resulting system has various interactions including diffusion to left and right, two-particle interactions and the extended n-particle drop-push interactions to left and right. We obtain three distinct new models. The conditions on reaction rates to ensure the solvability of the resulting models are obtained. The two-particle conditional probabilities are calculated exactly.
Keywords
Cite
@article{arxiv.cond-mat/0503120,
title = {Multi-species extension of the solvable partially asymmetric reaction- diffusion processes},
author = {M. Alimohammadi and Y. Naimi},
journal= {arXiv preprint arXiv:cond-mat/0503120},
year = {2009}
}
Comments
17 pages, accepted for publication in J. Math. Phys. (2005)