Exploitation-exploration transition in the physics of fluid-driven
branching
Exploitation-exploration transition in the physics of fluid-driven
branching
Self-organized branching structures can emerge spontaneously as interfacial instabilities in both simple and complex fluids, driven by the interplay between bulk material rheology, boundary constraints, and interfacial forcing. In our experiments, injecting dye between a source and a sink in a Hele-Shaw cell filled with a yield-stress fluid reveals an …