Dresden 2014 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 40: Poster - Quantum Systems/ Stat. Phys./ Diffusive Process
DY 40.15: Poster
Thursday, April 3, 2014, 17:00–19:00, P3
Steady-State Droplet Size Distributions for Breath Figures with Dripping — •Jakob de Maeyer1,2, Johannes Blaschke1,2, and Jürgen Vollmer1,2 — 1Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS), 37077 Göttingen, Germany — 2Fakultät für Physik, Georg-August-Universität Göttingen, 37077 Göttingen, Germany
The concept of condensing droplets on a surface (breath figures) plays a crucial role in microfabrication and high-efficiency heat transfer.
Recent studies have shown that existing scaling theories fail to explain experimental data on the droplet size distribution. A faithful description must explicitly deal with growth mechanisms of the smallest droplets and their fractal packing. The fractal droplet arrangement introduces non-trivial and non-universal scaling exponents.
Here, we show that the arising of the non-universal exponents is related to the breakdown of a common approximation in Smoluchowski models of droplet aggregation: there is no simple decomposition of the coalescence kernel into single-particle distribution functions.
We revisit these findings in the light of new experimental data on steady states where droplets are constantly removed from the surface through gravity-induced dripping.