Eur. Phys. J. B 36, 99-104 (2003)
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

Abstract

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.