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Active matter systems - such as a collection of active colloidal particles -operate far from equilibrium with complex inter-particle interactions thatgovern their collective dynamics. Predicting the collective dynamics of suchsystems may aid the design of self-shaping structures comprised of activecolloidal units with a prescribed dynamical function. Here, using theory andsimulations, we study the dynamics of a chemically self-interacting activecolloidal chain consisting of active Brownian particles connected by harmonicsprings in two dimensions to obtain design principles for extended structuresof active colloidal particles. We show that two-dimensional confinement andchemo-repulsive interactions between the freely jointed active particles leadto an emergent rigidity in the steady-state dynamics. In the chemo-attractiveregime, the chains fold into crystals that abruptly halt their motion. Further,in an active chain consisting of a binary mixture of monomers, we show thatanti-symmetric chemical affinities between distinct species give rise to novelphenomena, such as sustained oscillations and reversal of the direction ofmotion.

Emergent rigidity, crystallization, and undulatory propulsion from chemical self-interaction in a freely-jointed active colloidal chain