Facilitated asymmetric exclusion |
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Authors: | Gabel Alan Krapivsky P L Redner S |
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Institution: | Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA. |
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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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