Asymmetric exclusion process with global hopping

作者:Arita Chikashi*; Bouttier Jeremie; Krapivsky P L; Mallick Kirone
来源:Physical Review E, 2013, 88(4): 042120.
DOI:10.1103/PhysRevE.88.042120

摘要

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) = 0.185 277 ... , 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.

  • 出版日期2013-10-10
  • 单位中国地震局