Facilitated Asymmetric Exclusion

Details Facilitated Asymmetric Exclusion Facilitated Asymmetric Exclusion

2010-07-19

arxiv.org/abs/1007.3217v2

Phys. Rev. Lett. 105, 210603 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, revtex4 format. Version 2 contains various minor changes in response to referee comments. For publication

Scientific paper

10.1103/PhysRevLett.105.210603

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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