Solvable multispecies reaction-diffusion processes - art. no. 011101

Authors
Roshani, F Khorrami, M
Citation
F. Roshani et M. Khorrami, Solvable multispecies reaction-diffusion processes - art. no. 011101, PHYS REV E, 6401(1), 2001, pp. 1101
Citations number
20
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6401
Issue
1
Year of publication
2001
Part
1
Database
ISI
SICI code
1063-651X(200107)6401:1<1101:SMRP-A>2.0.ZU;2-K
Abstract
A family of one-dimensional multispecies reaction-diffusion processes on a lattice is introduced. It is shown that these processes are exactly solvabl e, provided a nonspectral matrix equation is satisfied. Some general remark s 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.