Stochastic higher spin vertex models on the line. (English) Zbl 1348.82055
The authors develop a four-parameter family of stochastic interacting particle systems on the line, which are built off of higher spin representations of the six-vertex model \(R\)-matrix. These systems can be diagonalized explicitly in terms of a complete set of Bethe ansatz eigenfunctions, and they also enjoy certain Markov dualities. Using this, the authors compute the moment and then Laplace-type transform formulas for these processes.
Reviewer: Nasir N. Ganikhodjaev (Kuantan)
MSC:
| 82C22 | Interacting particle systems in time-dependent statistical mechanics |
| 82C28 | Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics |
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