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Active matter, whose motion is driven, and glasses, whose dynamics arearrested, seem to lie at opposite ends of the spectrum in nonequilibriumsystems. In spite of this, both classes of systems exhibit a multitude ofstable states that are dynamically isolated from one another. While thisdefining characteristic is held in common, its origin is different in eachcase: for active systems, the irreversible driving forces can producedynamically frozen states, while glassy systems vitrify when they getkinetically trapped on a rugged free energy landscape. In a mixture of activeand glassy particles, the interplay between these two tendencies leads to novelphenomenology. We demonstrate this with a spin glass model that we generalizeto include an active component. In the absence of a ferromagnetic bias, we findthat the spin glass transition temperature depresses with the active fraction,consistent with what has been observed for fully active glassy systems. When abias does exist, however, a new type of transition becomes possible: the systemcan be cooled out of the glassy phase. This unusual phenomenon, known asreentrance, has been observed before in a limited number of colloidal andmicellar systems, but it has not yet been observed in active glass mixtures.Using low order perturbation theory, we study the origin of this reentranceand, based on the physical picture that results, suggest how our predictionsmight be measured experimentally.

Reentrance in an active spin glass model