  In this paper, we construct under general assumptions the stochastic dynamics
of an interacting particle system in a bounded domain $\Omega$ with sticky
boundary. Under appropriate conditions on the interaction the constructed
process solves the underlying SDE for every starting point in the state space.
Moreover, we also obtain a solution for q.e. starting point in the case of
singular interactions which generalizes former results. Finally, the setting is
applied to the case of particles diffusing in a chromatography tube.
