Active Brownian dynamics in a Random Lorentz gas

Active Brownian particles are a minimal model of both synthetic and biological active matter. Despite the simplicity of the model, its theoretical description remains incomplete in many regimes, especially at high densities. Although a dynamical mean-field theory (DMFT) of the system is then available, its analysis is hindered by the difficulty of solving the resulting equations. Using high-dimensional simulations of an active Brownian random Lorentz gas model, we extract physical insights expected to emerge from the DMFT. Our results broadly enrich the understanding of active matter.