On complexity of branching droplets in electrical field
This work addresses a specific problem in fluid dynamics or materials science, focusing on droplet behavior under electrical fields, and appears incremental as it applies existing complexity measures to a new experimental condition.
The study investigated how applying an electrical potential affects the morphology of decanol droplets in a sodium decanoate solution, finding that the current increases complexity in terms of graph-theoretic measures like connected components, nodes, morphological complexity, and compressibility.
Decanol droplets in a thin layer of sodium decanoate with sodium chloride exhibit bifurcation branching growth due to interplay between osmotic pressure, diffusion and surface tension. We aimed to evaluate if morphology of the branching droplets changes when the droplets are subject to electrical potential difference. We analysed graph-theoretic structure of the droplets and applied several complexity measures. We found that, in overall, the current increases complexity of the branching droplets in terms of number of connected components and nodes in their graph presentations, morphological complexity and compressibility.