This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the asymmetric avalanche process and the asymmetric zero range process. The time-integrated currents of the asymmetric avalanche process and the asymmetric zero range process are immediate from the results of the asymmetric simple exclusion process.
- Asymmetric avalanche process
- Asymmetric simple exclusion process
- Bethe ansatz
- Zero range process
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics