Timeline for Yang-Baxter equation for the asymmetric simple exclusion process (ASEP)
Current License: CC BY-SA 3.0
3 events
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| Nov 22, 2016 at 15:37 | comment | added | Leonid Petrov | @Y.Pei first, $x=(\xi - 1)/(Q \xi - 1)$. Second, what do you mean by YB equation for the S matrix? I think of something like SLL = LLS, where L are vertex weights like $(u-sQ^g)/(1-su)$ and S is that S matrix you're asking about. For the stochastic six vertex you need to set $s=1/\sqrt{Q}$, and then $u_{1,2}$ are spectral parameters of two vertices one above another in the slides, they play the role of $x_{1,2}$. | |
| Nov 22, 2016 at 14:46 | comment | added | Y. Pei | Thanks for your answer. What is $x_\alpha$ in terms of $\xi_\alpha$ explicitly? What is the Yang-Baxter equation for the stochastic six vertex model involving the $S$-matrix? I fail to find it on page 13 of arXiv:1601.05770 or page 6 of the slides. The vertex weights in the vertex with diagonal edges in the above references are ${u - s q^g \over 1 - s u}$. How is it related to the $S$-matrix? | |
| Nov 19, 2016 at 12:09 | history | answered | Leonid Petrov | CC BY-SA 3.0 |