Matteo Scandola — University of Trento # Analyzing Active Droplet Dynamics: Leveraging Image Processing for Non-Equilibrium Statistical Physics # Active matter can harness energy from its surroundings and propel itself away from equilibrium. Its constituents absorb energy from the environment and dissipate it, e.g. through motion or the exertion of mechanical forces. The investigation of these systems offers promising new perspectives on the field of non-equilibrium statistical physics, further paving the way for the design of innovative life-like materials and devices. In this work, we analyse the behaviour of a synthetic active matter system consisting of liquid Ethyl Silicate droplet surfers [1], whose self-propulsion decays over time, within a Sodium Dodecyl Sulfate (SDS) solution [2]. By relying on a synergetic combination of techniques, such as computer vision algorithms for accurate droplet detection [3] and analyses grounded on non-equilibrium statistical mechanics and graph theory, we quantitatively characterise all the stages of the dynamic evolution of the system, from its initial diffusive regime up to the generation of large clusters of droplets that appear as the activity wanes. The presented work showcases a comprehensive analysis of an actively evolving system, offering not only a general pipeline for the investigation of analogous problems, but also a deep perspective at the intersection between physics and synthetic biology. 1] C. Watanabe, S. Tanaka, R. J. Löffler, M. M. Hanczyc and J. Gorecki, Dynamic ordering caused by a source-sink relation between two droplets, Soft Matter, 2022, 18, 6465–6474. [2] Shinpei, Tanaka et al. “Dynamic Ordering in a Swarm of Floating Droplets Driven by Solutal Marangoni Effect.” Journal of the Physical Society of Japan 86 (2017): 101004. [3] Martin Weigert, Uwe Schmidt, Robert Haase, Ko Sugawara, and Gene Myers. Star- convex polyhedra for 3d object detection and segmentation in microscopy. In The IEEE Winter Conference on Applications of Computer Vision (WACV), March 2020.