Asymmetric exclusion process with global hopping

Chikashi Arita; Jérémie Bouttier; P. L. Krapivsky; Kirone Mallick

doi:10.1103/PhysRevE.88.042120

Asymmetric exclusion process with global hopping

Chikashi Arita, Jérémie Bouttier, P. L. Krapivsky, Kirone Mallick

Research output: Contribution to journal › Article › peer-review

Abstract

We study a one-dimensional totally asymmetric simple exclusion process with one special site from which particles fly to any empty site (not just to the neighboring site). The system attains a nontrivial stationary state with a density profile varying over the spatial extent of the system. The density profile undergoes a nonequilibrium phase transition when the average density passes through the critical value ^-1[4 (¹-ln ²)]-1=0.185277, viz., in addition to the discontinuity in the vicinity of the special site, a shock wave is formed in the bulk of the system when the density exceeds the critical density.

Original language	English
Article number	042120
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	88
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.88.042120
Publication status	Published - 10 Oct 2013
Externally published	Yes

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10.1103/PhysRevE.88.042120

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abstract = "We study a one-dimensional totally asymmetric simple exclusion process with one special site from which particles fly to any empty site (not just to the neighboring site). The system attains a nontrivial stationary state with a density profile varying over the spatial extent of the system. The density profile undergoes a nonequilibrium phase transition when the average density passes through the critical value -1[4 (1-ln 2)]-1=0.185277, viz., in addition to the discontinuity in the vicinity of the special site, a shock wave is formed in the bulk of the system when the density exceeds the critical density.",

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AU - Krapivsky, P. L.

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AB - We study a one-dimensional totally asymmetric simple exclusion process with one special site from which particles fly to any empty site (not just to the neighboring site). The system attains a nontrivial stationary state with a density profile varying over the spatial extent of the system. The density profile undergoes a nonequilibrium phase transition when the average density passes through the critical value -1[4 (1-ln 2)]-1=0.185277, viz., in addition to the discontinuity in the vicinity of the special site, a shock wave is formed in the bulk of the system when the density exceeds the critical density.

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DO - 10.1103/PhysRevE.88.042120

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Asymmetric exclusion process with global hopping

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