Unstable fronts and motile structures formed by microrollers

Abstract

Collections of rolling colloids are shown to pinch off into motile clusters resembling droplets sliding down a windshield. These stable dynamic structures are formed through a fingering instability that relies on hydrodynamic interactions alone. Condensation of objects into stable clusters occurs naturally in equilibrium1 and driven systems2,3,4,5. It is commonly held that potential interactions6, depletion forces7, or sensing8 are the only mechanisms which can create long-lived compact structures. Here we show that persistent motile structures can form spontaneously from hydrodynamic interactions alone, with no sensing or potential interactions. We study this structure formation in a system of colloidal rollers suspended and translating above a floor, using both experiments and large-scale three-dimensional simulations. In this system, clusters originate from a previously unreported fingering instability, where fingers pinch off from an unstable front to form autonomous ‘critters’, whose size is selected by the height of the particles above the floor. These critters are a stable state of the system, move much faster than individual particles, and quickly respond to a changing drive. With speed and direction set by a rotating magnetic field, these active structures offer interesting possibilities for guided transport, flow generation, and mixing at the microscale.