Modeling Active Colloids: From Active Brownian Particles to Hydrodynamic and Chemical Fields

Active colloids are self-propelled particles moving in viscous fluids by consuming fuel from their surroundings. Here, we review the numerical and theoretical modeling of active propelled self-generated near-surface flows. We start with generic model an Brownian particle taking into account potential forces effective pairwise interaction, which include hydrodynamic phoretic interactions. Also, squirmer as a microswimmer is introduced. then discuss explicit fluid flow full hydrodynamic-chemical coupling. Finally, recent advances selected topics used to study motion crowded complex environments, microrheology baths, colloidal engines, adaptive responses help machine learning techniques, well effects colloid inertia.