Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries. (English) Zbl 1355.82015
It is known that the stationary state of the ASEP (asymmetric simple exclusion process) with open boundaries is related to the Askey-Wilson polynomials. As a generalization, here one shows that multi-ASEP is related to Koornwinder polynomials.
Reviewer: Guy Jumarie (Montréal)
MSC:
| 82B41 | Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics |
| 60J75 | Jump processes (MSC2010) |
| 81Q80 | Special quantum systems, such as solvable systems |
| 60J10 | Markov chains (discrete-time Markov processes on discrete state spaces) |
| 82B31 | Stochastic methods applied to problems in equilibrium statistical mechanics |
| 82C20 | Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics |
| 82C22 | Interacting particle systems in time-dependent statistical mechanics |
