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arXiv · 1007.3217

Facilitated Asymmetric Exclusion

Alan Gabel·P. L. Krapivsky·S. Redner
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Abstract

We introduce a class of facilitated asymmetric exclusion processes in which particles are pushed by neighbors from behind. For the simplest version in which a particle can hop to its vacant right neighbor only if its left neighbor is occupied, we determine the steady state current and the distribution of cluster sizes on a ring. We show that an initial density downstep develops into a rarefaction wave that can have a jump discontinuity at the leading edge, while an upstep results in a shock wave. This unexpected rarefaction wave discontinuity occurs generally for facilitated exclusion processes.

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BibTeXRIS

Alan Gabel, P. L. Krapivsky, S. Redner. 2010-10-25. Facilitated Asymmetric Exclusion. https://doi.org/10.1103/physrevlett.105.210603

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