SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Wetting, Droplets and Microfluidics (joint session DY/CPP)

DY 29.11: Vortrag

Mittwoch, 29. März 2023, 12:45–13:00, ZEU 148

Universality in One-Dimensional Breath Figures — •Daniel Dernbach, Adrian Häußler-Möhring, M Muhammad, and Jürgen Vollmer — Institut für Theoretische Physik, Universität Leipzig, Brüderstr. 16, D-04103 Leipzig, Germany

Patterns of droplets which condense upon substrates reveal self-similar features. They are described by a scaling theory with a non-trivial exponent that has been related to the fractal dimension of the scaling of the free area (“porosity”) in between droplets. There is no agreement if this exponent is universal or affected by the dynamics. Here, we present numerical data that address the dependence of the asymptotic scaling of the porosity for hyper-spherical droplets growing on one-dimensional substrates. We vary the droplet dimension and interactions. For a given dimension the exponent is universal up to a critical range of interaction. For longer-ranged interactions the scaling depends on the dynamics.