Jamming and kinetics of deposition-evaporation systems and associated quantum spin models

A class of models of deposition and evaporation of dimers, trimers,..., k-mers is studied analytically and by simulation. Correlation functions decay as power laws in time, related to broken symmetries in associated spin Hamiltonians. For k{≥}3, the number of jammed and evolving steady states increases exponentially with size. Finite size scaling studies support a phenomenological diffusive picture for dynamics and indicate universality over k in many subspaces.