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We model a binary mixture of passive and active Brownian particles in twodimensions using the effective interaction between passive particles in theactive bath. The activity of active particles and the size ratio of two typesof particles are two control parameters in the system. The effectiveinteraction is calculated from the average force on two particles generated bythe active particles. The effective interaction can be attractive or repulsive,depending on the system parameters. The passive particles form four distinctstructural orders for different system parameters viz; disorder (D), disorderedcluster (DC), ordered cluster (OC), and poly-crystalline order (P C). Thechange in structure is dictated by the change in nature of the effectiveinteraction. We further confirm the four structures using full microscopicsimulation of active and passive mixture. Our study is useful to understand thedifferent collective behaviour in non-equilibrium systems.

Effective single component description of steady state structures of passive particles in an active bath