https://doi.org/10.1140/epjb/e2003-00321-2
Solvable multi-species extensions of the drop-push model
1
Institute for Advanced Studies in Basic Sciences,
PO Box 159, Zanjan 45195, Iran
2
Institute for Studies in Theoretical Physics and
Mathematics, PO Box 5531, Tehran 19395, Iran
Corresponding author: a mamwad@iasbs.ac.ir
Received:
25
July
2003
Published online:
19
November
2003
A family of multispecies drop-push systems on a one-dimensional lattice is investigated. It is shown that this family is solvable in the sense of the Bethe ansatz, provided a nonspectral matrix equation is satisfied. The large-time behavior of the conditional probabilities, and the dynamics of the particle-type change are also investigated.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ga – Markov processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
