Generalized car-parking problem as a model for particle deposition with entropy-activated rate process

Abstract

We study a class of generalized car-parking problems and show analytically that whereas the properties (structure and density) of the configurations generated by the generalized and the standard parking processes are different at most times, they are identical at the jamming limit (t→+∞). We indicate how such models can be used to describe more realistic particle deposition processes which combine bulk diffusion and irreversible adsorption. This provides a theoretical basis to explain recent simulation results.