Mode-Coupling Theory for Active Brownian Particles

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A microscopic theory for the dynamics of dense active Brownian particle (ABP) systems, based on the integration-through-transients (ITT) formalism and the mode-coupling theory of the glass transition (MCT), is evaluated to obtain quantities characterizing the non-equilibrium steady state of ABP, such as the coarse-grained density- and activity-dependent swim velocity, the swim pressure tensor, and the activity-dependent static structure factor. The asymptotic behavior of these quantities close to the glass transitionwill be derived. An extension to slightly anisotropic particles is considered in order to understand the activity dependence of translation-rotation coupling in dense ABP.