Condensation and evaporation on a randomly occupied square lattice

Details Condensation and evaporation on a randomly occupied square lattice Condensation and evaporation on a randomly occupied square lattice

2002-05-24

arxiv.org/abs/cond-mat/0205501v1

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 10 figures

Scientific paper

10.1103/PhysRevE.66.046104

We study the evolution of an initially random distribution of particles on a square 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 (immobile case). In the former case both analytical and computer simulation results are presented, while in the latter only simulation is possible. We introduce growth and culling probabilities appropriate for condensation and evaporation on a two-dimensional surface, and compare results with existing models for this problem. Our results show very interesting behaviour, under certain conditions quite different from earlier models. We find a possibility of hysteresis not reported earlier for such models. ~

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