Abstract
Starting from the Bethe ansatz solution for the open totally asymmetric simple exclusion process (TASEP), we compute the largest eigenvalue of the deformed Markovian matrix, in exact agreement with results obtained by the matrix ansatz. We also compute the eigenvalues of the higher conserved charges. The key step is to find a simpler equivalent T-Q relation, which is similar to the one for the TASEP with periodic boundary conditions.
| Original language | English (US) |
|---|---|
| Article number | 103105 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2018 |
| Issue number | 10 |
| DOIs | |
| State | Published - Oct 24 2018 |
Fingerprint
Keywords
- exact results
- exclusion processes
- integrable spin chains and vertex models
- quantum integrability (Bethe ansatz)
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty
Cite this
Equivalent T-Q relations and exact results for the open TASEP. / Crampe, Nicolas; Nepomechie, Rafael.
In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, No. 10, 103105, 24.10.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Equivalent T-Q relations and exact results for the open TASEP
AU - Crampe, Nicolas
AU - Nepomechie, Rafael
PY - 2018/10/24
Y1 - 2018/10/24
N2 - Starting from the Bethe ansatz solution for the open totally asymmetric simple exclusion process (TASEP), we compute the largest eigenvalue of the deformed Markovian matrix, in exact agreement with results obtained by the matrix ansatz. We also compute the eigenvalues of the higher conserved charges. The key step is to find a simpler equivalent T-Q relation, which is similar to the one for the TASEP with periodic boundary conditions.
AB - Starting from the Bethe ansatz solution for the open totally asymmetric simple exclusion process (TASEP), we compute the largest eigenvalue of the deformed Markovian matrix, in exact agreement with results obtained by the matrix ansatz. We also compute the eigenvalues of the higher conserved charges. The key step is to find a simpler equivalent T-Q relation, which is similar to the one for the TASEP with periodic boundary conditions.
KW - exact results
KW - exclusion processes
KW - integrable spin chains and vertex models
KW - quantum integrability (Bethe ansatz)
UR - http://www.scopus.com/inward/record.url?scp=85056092711&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85056092711&partnerID=8YFLogxK
U2 - 10.1088/1742-5468/aae2e0
DO - 10.1088/1742-5468/aae2e0
M3 - Article
AN - SCOPUS:85056092711
VL - 2018
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
SN - 1742-5468
IS - 10
M1 - 103105
ER -