The non-equilibrium dynamics of phoretically active colloids could
lead to spontaneous formation of interesting structures and patterns
due to the presence of long-range Coulomb-like interactions. I discuss
three examples: formation of small stable clusters or "molecules" that
can exhibit functionality that depends on geometry, collective
chemotaxis in a solution of catalytically active colloids that could
lead to clusters formation, aster condensation, and spontaneous
oscillations, and swarming - in the form of a comet - of light-induced
thermally active colloids with negative Soret coefficient.
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