Simple exclusion processes with local resetting

We investigate the stationary state of Symmetric and Totally Asymmetric Simple Exclusion Processes with local resetting, on a one-dimensional lattice periodic boundary conditions, using mean-field approximations, which appear to be exact in thermodynamic limit, kinetic Monte Carlo simulations. In both cases we find that limit models exhibit three different regimes, depending how resetting rate scales system size. The version model has particularly rich behaviour, especially an intermediate regime where vanishes as inverse size, exhibiting 4 phases, including phase separation.