Asymmetric exclusion process with global hopping.
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-ln2)](-1)=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.
Institut de Physique Théorique, IPhT, CEA Saclay and URA 2306, CNRS, 91191 Gif-sur-Yvette Cedex, France and Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany.
Chikashi
C
Arita
Jérémie
J
Bouttier
P L
PL
Krapivsky
Kirone
K
Mallick