Multiparticle space-time transitions in the totally asymmetric simple exclusion process

DOI10.1007/s11232-011-0127-6zbMath1274.82038OpenAlexW2047413898MaRDI QIDQ377642

V. B. Priezzhev, A. M. Povolotskii

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-011-0127-6

zbMATH Keywords

Bethe ansatztotally asymmetric simple exclusion processKardar-Parisi-Zhang universality classdeterminant point process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) 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)

Related Items (7)

Current fluctuations of the one dimensional symmetric simple exclusion process with step initial condition ⋮ Scalar products of state vectors in totally asymmetric exactly solvable models on a ring ⋮ Generalized Green functions and current correlations in the TASEP ⋮ Determinant representation for some transition probabilities in the TASEP with second class particles ⋮ Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition ⋮ Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz ⋮ Determinantal transition kernels for some interacting particles on the line

Cites Work

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• Eynard-Mehta theorem, Schur process, and their Pfaffian analogs
• Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP
• Dynamic Scaling of Growing Interfaces
• Transition between Airy₁and Airy₂processes and TASEP fluctuations
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria

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