Fluctuations of TASEP on a Ring in Relaxation Time Scale

DOI10.1002/cpa.21702zbMath1390.82040arXiv1605.07102OpenAlexW2963903428MaRDI QIDQ4638323

Zhipeng Liu, Jinho Baik

Publication date: 4 May 2018

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07102

zbMATH Keywords

Bethe ansatztotally asymmetric simple exclusion processKPZ dynamics

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23) Time-dependent percolation in statistical mechanics (82C43)

Related Items (26)

Multi-point distribution of discrete time periodic TASEP ⋮ Brownian bridges for late time asymptotics of KPZ fluctuations in finite volume ⋮ Multipoint distribution of TASEP ⋮ Riemann surfaces for integer counting processes ⋮ Height fluctuations of stationary TASEP on a ring in relaxation time scale ⋮ Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density ⋮ Periodic TASEP with general initial conditions ⋮ Fluctuation exponents of the KPZ equation on a large torus ⋮ Mixing times for the simple exclusion process with open boundaries ⋮ Differential equations for the KPZ and periodic KPZ fixed points ⋮ Mixing times for the TASEP in the maximal current phase ⋮ KPZ limit theorems ⋮ Mixing time and cutoff for one-dimensional particle systems ⋮ The lower tail of \(q\)-pushTASEP ⋮ Integral formulas of ASEP and \(q\)-TAZRP on a ring ⋮ Time-time covariance for last passage percolation with generic initial profile ⋮ Solution of the Kolmogorov equation for TASEP ⋮ The KPZ universality class and related topics ⋮ Riemann surface crossover for the spectral gaps of open TASEP ⋮ Nonstationary generalized TASEP in KPZ and jamming regimes ⋮ Multipoint distribution of periodic TASEP ⋮ Limiting one-point distribution of periodic TASEP ⋮ One-point distribution of the geodesic in directed last passage percolation ⋮ Current statistics in the q-boson zero range process ⋮ Riemann surface for TASEP with periodic boundaries ⋮ From the Riemann surface of TASEP to ASEP

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