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