Transport coefficients in dense active Brownian particle systems: mode-coupling theory and simulation results

Abstract We discuss recent advances in developing a mode-coupling theory of the glass transition (MCT) two-dimensional systems active Brownian particles (ABPs). The describes structural relaxation close to terms transient dynamical density correlation functions. summarize equations motion that have been derived for collective density-fluctuation dynamics and those tagged-particle motion. latter allow study both passive tracers host systems. In limit small wave numbers, they give rise describing mean-squared displacements (MSDs) these hence long-time diffusion coefficients as transport coefficient quantifying long-range tracer specifically case single ABP glass-forming suspension, has recently studied experiments on colloidal Janus particles. employ event-driven (ED-BD) computer simulations test ABP-MCT find good agreement between two MSD, provided known errors MCT already system (i.e., an overestimation glassiness system) are accounted by empirical mapping packing fractions host-system self-propulsion forces. ED-BD simulation results also compare well experimental data, although peculiar non-monotonic velocities is required. predicts specific dependence Stokes–Einstein relation viscosity matches from simulation. An application within integration-through transients framework calculate density-renormalized effective swim velocity interacting agrees qualitatively with data at densities quantitatively full range only after employed system. Graphic abstract