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A Discrete Model For Pattern Formation In Volatile Thin Films

M. Malik-GarbiO. Agam — 2012

Mathematical Modelling of Natural Phenomena

We introduce a model, similar to diffusion limited aggregation (DLA), which serves as a discrete analog of the continuous dynamics of evaporation of thin liquid films. Within mean field approximation the dynamics of this model, averaged over many realizations of the growing cluster, reduces to that of the idealized evaporation model in which surface tension is neglected. However fluctuations beyond the mean field level play an important role, and...

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