Year: 2015
Type: article
Abstract: 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 r ≥ rc the defect site, has only local effects on the stationary state of the homogeneous system.Mean-field theory predicts rc = 1 (when hopping rates outside the defect bond are equal to 1) but numerical investigations seem to indicate rc ≈ 0.80 (2).Here we improve the numerics to show that rc > 0.99 and give strong evidence that indeed rc = 1 as predicted by mean-field theory, and anticipated by recent theoretical findings.
Source: Europhysics Letters (EPL)
Authors: Johannes Schmidt, Vladislav Popkov, Andreas Schadschneider
Institution: University of Cologne
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Deutsche Forschungsgemeinschaft
Award: G4101231989
OpenAlex ID: W2201543070