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Publication Date

Summer 2008

Degree Type

Thesis - Campus Access Only

Degree Name

Master of Science (MS)




Patrick Hamill

Subject Areas

Physics, Theory


This thesis describes the process of coagulation for a collection of liquid droplets residing on a two-dimensional substrate. The droplets are assumed to move over the substrate by Brownian motion and to coalesce with each other upon collision. In this analysis, the contact angle of the droplets with the substrate is determined not to have an impact on the coagulation. A simulation is run in which 800 droplets are deposited onto a square substrate with periodic boundary conditions. The number of droplets decreases with time, and the mean droplet size increases. The time-dependent number of droplets proves to be a good match to what is predicted by the well-established Smoluchowski method.