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.
| Original language | English |
|---|---|
| Pages (from-to) | 643-656 |
| Number of pages | 14 |
| Journal | Journal of Statistical Physics |
| Volume | 142 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Feb 2011 |
| Externally published | Yes |
Funding
This work was supported by National Science Foundation through the grant DMS-0906387.
Keywords
- Asymmetric avalanche process
- Asymmetric simple exclusion process
- Bethe ansatz
- Zero range process
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
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