Convergence of the stochastic six-vertex model to the ASEP, stochastic six-vertex model and ASEP. (English) Zbl 1413.82005
Summary: In this note, we establish the convergence of the stochastic six-vertex model to the one-dimensional asymmetric simple exclusion process, under a certain limit regime recently predicted by Borodin-Corwin-Gorin. This convergence holds for arbitrary initial data.
MSC:
| 82C22 | Interacting particle systems in time-dependent statistical mechanics |
| 60K35 | Interacting random processes; statistical mechanics type models; percolation theory |
| 65C50 | Other computational problems in probability (MSC2010) |
Keywords:
asymmetric simple exclusion process; stochastic six-vertex model; limit degeneration; currentReferences:
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