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Minimal models of active Brownian colloids consisting of self-propelledspherical particles with purely repulsive interactions have recently beenidentified as excellent quantitative testing grounds for theories of activematter and have been the subject of extensive numerical and analyticalinvestigation. These systems do not exhibit aligned or flocking states, but dohave a rich phase diagram, forming active gases, liquids and solids with novelmechanical properties. This article reviews recent advances in theunderstanding of such models, including the description of the active gas andits swim pressure, the motility-induced phase separation and the high-densitycrystalline and glassy behavior.

Minimal model of active colloids highlights the role of mechanical interactions in controlling the emergent behavior of active matter