TY - JOUR
T1 - Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems
AU - Lee, Eunghyun
N1 - Funding Information:
This work was supported by National Science Foundation through the grant DMS-0906387.
PY - 2011/2
Y1 - 2011/2
N2 - 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.
AB - 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.
KW - Asymmetric avalanche process
KW - Asymmetric simple exclusion process
KW - Bethe ansatz
KW - Zero range process
UR - https://www.scopus.com/pages/publications/79951512292
UR - https://www.scopus.com/pages/publications/79951512292#tab=citedBy
U2 - 10.1007/s10955-011-0139-5
DO - 10.1007/s10955-011-0139-5
M3 - Article
AN - SCOPUS:79951512292
SN - 0022-4715
VL - 142
SP - 643
EP - 656
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 4
ER -