Total current fluctuations in the asymmetric simple exclusion process. (English) Zbl 1241.82051

Summary: A limit theorem for the total current in the asymmetric simple exclusion process (ASEP) with step initial condition is proven. This extends the result of K. Johansson [Commun. Math. Phys. 209, No. 2, 437–476 (2000; Zbl 0969.15008)] on TASEP to ASEP.
See the authors, Commun. Math. Phys. 290, No. 1, 129–154 (2009; Zbl 1184.60036). {
©2009 American Institute of Physics}


82C22 Interacting particle systems in time-dependent statistical mechanics
60F05 Central limit and other weak theorems
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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[2] DOI: 10.1088/0305-4470/39/41/S03 · Zbl 1129.82028
[3] DOI: 10.1007/s002200050027 · Zbl 0969.15008
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[11] DOI: 10.1007/BF02100489 · Zbl 0789.35152
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