  Stochastic resetting models diverse phenomena across numerous scientific
disciplines. Current understanding stems from the renewal framework, which
relates systems subject to global resetting to their non-resetting
counterparts. Yet, in interacting many-body systems, even the simplest
scenarios involving resetting give rise to the notion of local resetting, whose
analysis falls outside the scope of the renewal approach. A prime example is
that of diffusing particles with excluded volume interactions that
independently attempt to reset their position to the origin of a 1D lattice.
With renewal rendered ineffective, we instead employ a mean-field approach
whose validity is corroborated via extensive numerical simulations. The
emerging picture sheds first light on the non-trivial interplay between
interactions and resetting in many-body systems.
