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We study the evolution of an initially random distribution of particles on asquare lattice, under certain rules for `growing' and `culling' of particles.In one version we allow the particles to move laterally along the surface(mobile layer) and in the other version this motion is not allowed (immobilecase). In the former case both analytical and computer simulation results arepresented, while in the latter only simulation is possible. We introduce growthand culling probabilities appropriate for condensation and evaporation on atwo-dimensional surface, and compare results with existing models for thisproblem. Our results show very interesting behaviour, under certain conditionsquite different from earlier models. We find a possibility of hysteresis notreported earlier for such models. ~Comment: 13 pages, 10 figure

Condensation and evaporation on a randomly occupied square lattice