Self-organization of meso- and macroscale structures
is a highly
active research field that exploits a wide variety of physicochemical
phenomena, including surface tension, Marangoni flow, and (elasto)capillary
effects. The release of surface-active compounds generates Marangoni
flows that cause repulsion, whereas capillary forces attract floating
particles via the Cheerios effect. Typically, the interactions resulting
from these effects are nonselective because the gradients involved
are uniform. In this work, we unravel the mechanisms involved in the
self-organization of amphiphile filaments that connect and attract
droplets floating at the air–water interface, and we demonstrate
their potential for directional gradient formation and thereby selective
interaction. We simulate Marangoni flow patterns resulting from the
release and depletion of amphiphile molecules by source and drain
droplets, respectively, and we predict that these flow patterns direct
the growth of filaments from the source droplets toward specific drain
droplets, based on their amphiphile depletion rate. The interaction
between such droplets is then investigated experimentally by charting
the flow patterns in their surroundings, while the role of filaments
in source–drain attraction is studied using microscopy. Based
on these observations, we attribute attraction of drain droplets and
even solid objects toward the source to elastocapillary effects. Finally,
the insights from our simulations and experiments are combined to
construct a droplet-based system in which the composition of drain
droplets regulates their ability to attract filaments and as a consequence
be attracted toward the source. Thereby, we provide a novel method
through which directional attraction can be established in synthetic
self-organizing systems and advance our understanding of how complexity
arises from simple building blocks.