  The Schelling model has become a paradigm in social sciences to explain the
emerge of residential spatial segregation even in the presence of high
tolerance to mixed neighborhoods by the side of citizens. In particular, we
consider a noisy constrained version of the Schelling model, in which agents
maximize its satisfaction, related to the composition of the local
neighborhood, by infinite-range movements towards satisfying vacancies. We add
to it an aging effect by making the probability of agents to move inversely
proportional to the time they have been satisfied in their present location.
This mechanism simulates the development of an emotional attachment to a
location where an agent has been satisfied for a while. The introduction of
aging has several major impacts on the model statics and dynamics: the phase
transition between a segregated and a mixed phase of the original model
disappears, and we observe segregated states with high level of agent
satisfaction even for high values of the tolerance. In addition, the new
segregated phase is dynamically characterized by a slow power-law coarsening
process and by a glassy-like dynamics in which the asymptotic time
translational invariance is broken.
