Collision probabilities in the rarefaction fan of asymmetric exclusion processes

DOI10.1214/08-AIHP303zbMath1196.60162arXiv0804.1770OpenAlexW2018427918MaRDI QIDQ985343

Pablo A. Ferrari, James B. Martin, Patrícia C. Gonçalves

Publication date: 21 July 2010

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1770

zbMATH Keywords

growth modelasymmetric simple exclusion processrarefaction fansecond-class particle

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (12)

Stationary distributions of the multi-type ASEP ⋮ Coexistence probability in the last passage percolation model is \(6-8\log2\) ⋮ The ASEP speed process ⋮ Determinant representation for some transition probabilities in the TASEP with second class particles ⋮ TASEP hydrodynamics using microscopic characteristics ⋮ On the asymmetric zero-range in the rarefaction fan ⋮ The TASEP speed process ⋮ Color-position symmetry in interacting particle systems ⋮ Correlations in the multispecies TASEP and a conjecture by Lam ⋮ The TAZRP speed process ⋮ Jeu de taquin dynamics on infinite Young tableaux and second class particles ⋮ Exclusion and Zero-Range in the Rarefaction Fan

Cites Work

• The motion of a second class particle for the TASEP starting from a decreasing shock profile
• A phase transition for competition interfaces
• Second class particles in the rarefaction fan
• Stationary distributions of multi-type totally asymmetric exclusion processes
• Competition interfaces and second class particles
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
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