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August 2004 Behavior dominated by slow particles in a disordered asymmetric exclusion process
Ilie Grigorescu, Min Kang, Timo Seppäläinen
Ann. Appl. Probab. 14(3): 1577-1602 (August 2004). DOI: 10.1214/105051604000000387


We study the large space and time scale behavior of a totally asymmetric, nearest-neighbor exclusion process in one dimension with random jump rates attached to the particles. When slow particles are sufficiently rare, the system has a phase transition. At low densities there are no equilibrium distributions, and on the hydrodynamic scale the initial profile is transported rigidly. We elaborate this situation further by finding the correct order of the correction from the hydrodynamic limit, together with distributional bounds averaged over the disorder. We consider two settings, a macroscopically constant low density profile and the outflow from a large jam.


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Ilie Grigorescu. Min Kang. Timo Seppäläinen. "Behavior dominated by slow particles in a disordered asymmetric exclusion process." Ann. Appl. Probab. 14 (3) 1577 - 1602, August 2004.


Published: August 2004
First available in Project Euclid: 13 July 2004

zbMATH: 1056.60098
MathSciNet: MR2071435
Digital Object Identifier: 10.1214/105051604000000387

Primary: 60K35

Keywords: Asymmetric exclusion process , Hydrodynamic limit , random rates

Rights: Copyright © 2004 Institute of Mathematical Statistics


Vol.14 • No. 3 • August 2004
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