10.17192/ed.2010.0002
Blaschke, Johannes P.
Johannes P.
Blaschke
Formation and Evolution of Breath Figures
Philipps-Universität Marburg
2010
Breathfigures
Tropfenform
Tropfenanlagerung
Generalities, Science
Allgemeines, Wissenschaft
Keimbildung
Selbstorganisation
Kondensation
Delaunay-Triangulierung
Renormierung
Voronoi-Diagramm
Physik
2010-05-18
2010-05-18
en
MastersThesis
https://archiv.ub.uni-marburg.de/ed/2010/0002
urn:nbn:de:hebis:04-ed2010-00020
https://archiv.ub.uni-marburg.de/ed/2010/0002/cover.png
application/pdf
https://rightsstatements.org/vocab/InC-NC/1.0/
The condensation of vapor on a planar surface yields a characteristic pattern of small and large droplets, these observed droplet sizes can span many orders of magnitude. This pattern goes by the name of Breath Figures. If deposited droplets are not removed, a renormalization theory by Family and Meakin successfully describes the scale invariant domains of this size distribution (and the scaling behavior of droplet pair correlations) up to a small correction. An analysis of droplets being removed or distorted by gravity (analogous to droplets hanging off a lid) are not covered by this theory.
In this work, we have proposed a correction to the original renormalization theory accounting for the observed correction. Furthermore we have conducted simulations employing Delaunay-triangulations in order to examine droplets hanging from a planar surface. This yielded many interesting deviations from the scaling theory of sessile droplets.