Behavior dominated by slow particles in a disordered asymmetric exclusion process.

DOI10.1214/105051604000000387zbMath1056.60098arXivmath/0303336OpenAlexW2036990522MaRDI QIDQ1879921

Ilie Grigorescu, Timo Seppäläinen, Min Kang

Publication date: 15 September 2004

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303336

zbMATH Keywords

asymmetric exclusion processhydrodynamic limitrandom rates

Mathematics Subject Classification ID

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

Related Items (3)

Gumbel laws in the symmetric exclusion process ⋮ Slow-to-start traffic model: traffic saturation and scaling limits ⋮ Quantitative estimates for the flux of TASEP with dilute site disorder

Cites Work

• Departures from many queues in series
• Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder
• A scaling limit for queues in series
• Convergence to the maximal invariant measure for a zero-range process with random rates.
• Asymmetric conservative processes with random rates
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Exact steady states of disordered hopping particle models with parallel and ordered sequential dynamics
• Phase transitions in driven diffusive systems with random rates
• The ergodic theory of traffic jams.

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