Publication : t13/195

Asymmetric Exclusion Process with Global Hopping

Arita C. (Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany)
Bouttier J. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Krapivsky P. L. (Department of Physics, Boston University, Boston, MA 02215, USA)
Mallick K. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
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 non-trivial stationary state with density profile varying over the spatial extent of the system. The density profile undergoes a non-equilibrium phase transition when the average density passes through the critical value 1-1/[4(1-ln 2)]=0.185277..., 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.
Année de publication : 2013
Revue : Phys. Rev. E 88 042120 (2013)
DOI : 10.1103/PhysRevE.88.042120
Preprint : arXiv:1307.4367
Lien :
PACS : 02.50.-r, 05.40.-a, 05.70.Ln
Langue : Anglais

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