Abstract
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.
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This work was supported by National Science Foundation through the grant DMS-0906387.
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Lee, E. Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems. J Stat Phys 142, 643–656 (2011). https://doi.org/10.1007/s10955-011-0139-5
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DOI: https://doi.org/10.1007/s10955-011-0139-5