期刊
PHYSICAL REVIEW LETTERS
卷 105, 期 21, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.105.210603
关键词
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资金
- NSF [DMR-0906504, CCF-0829541]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0906504] Funding Source: National Science Foundation
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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