Defect-induced phase transition in the asymmetric simple exclusion process
1 Institut für Theoretische Physik, Universität zu Köln - 50937 Köln, Germany
2 CSDC Università di Firenze - via G. Sansone 1, 50019 Sesto Fiorentino, Italy
Received: 20 February 2015
Accepted: 17 April 2015
We reconsider the long-standing question of the critical defect hopping rate rc in the one-dimensional totally asymmetric exclusion process (TASEP) with a slow bond (defect). For r < rc a phase-separated state is observed due to queuing at the defect site, whereas for the defect site, has only local effects on the stationary state of the homogeneous system. Mean-field theory predicts (when hopping rates outside the defect bond are equal to 1) but numerical investigations seem to indicate . Here we improve the numerics to show that rc > 0.99 and give strong evidence that indeed as predicted by mean-field theory, and anticipated by recent theoretical findings.
PACS: 02.50.Ey – Stochastic processes / 05.70.Fh – Phase transitions: general studies / 05.60.-k – Transport processes
© EPLA, 2015