The second class particle process at shocks

DOI10.1016/J.SPA.2024.104298arXiv2309.09570MaRDI QIDQ6123279

Patrik Lino Ferrari, Peter Nejjar

Publication date: 4 March 2024

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.09570

zbMATH Keywords

asymmetric exclusion processscaling limitsecond class particleshock fluctuations

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random matrices (algebraic aspects) (15B52)

Cites Work

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• Strong hydrodynamic limit for attractive particle systems on \(\mathbb{Z}\)
• A phase transition for competition interfaces
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• Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
• Shape fluctuations and random matrices
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• The KPZ fixed point
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• Statistics of TASEP with three merging characteristics
• TASEP fluctuations with soft-shock initial data
• Anomalous shock fluctuations in TASEP and last passage percolation models
• Limit law of a second class particle in TASEP with non-random initial condition
• Universality of slow decorrelation in KPZ growth
• Fluctuation properties of the TASEP with periodic initial configuration
• Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
• Fluctuations of the competition interface in presence of shocks
• Transition between Airy₁and Airy₂processes and TASEP fluctuations
• Limit process of stationary TASEP near the characteristic line
• Microscopic structure at the shock in the asymmetric simple exclusion
• Transition to Shocks in TASEP and Decoupling of Last Passage Times
• Fluctuations in the Discrete TASEP with Periodic Initial Configurations and the Airy1 Process

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