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In this paper, we construct under general assumptions the stochastic dynamicsof an interacting particle system in a bounded domain $\Omega$ with stickyboundary. Under appropriate conditions on the interaction the constructedprocess 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 ofsingular interactions which generalizes former results. Finally, the setting isapplied to the case of particles diffusing in a chromatography tube.

Interacting particle systems with sticky boundary