Computer simulations of the growth of breath figures |
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| Authors: | Daniela Fritter Charles M. Knobler Didier Roux Daniel Beysens |
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| Affiliation: | (1) Department of Chemistry and Biochemistry, University of California, 90024 Los Angeles, California;(2) Centre P. Pascal, CNRS, Domaine Universitaire, 33404 Talence, France;(3) Service de Physique du Solide et de Résonance Magnétique, CEN Saclay, 91191 Gif-sur-Yvette, France |
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| Abstract: | We describe computer simulations of the growth of breath figures, the patterns formed when droplets condense on a cold surface. The focus is on the coalescence of droplets, which is an important growth mechanism, and the conditions for self-similar patterns, which are experimentally observed. It is assumed that individual droplets grow according to a power law; droplets that touch coalesce instantly and are replaced by a new droplet at the center of gravity of the coalescing pair. The average droplet radius, distribution of droplet sizes, surface coverage, and radial distribution function are determined as a function of the time for a variety of initial coverages and polydispersities. These quantities are compared to those determined by experiment, and our simple model is found to be in good accord with the observed behavior. It is observed that the process of coalescence induces spatial correlation between droplets.This paper is dedicated to Howard Reiss on his 66th birthday. |
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| Keywords: | Droplet growth coalescence simulation surfaces patterns |
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