  We derive a general lower bound on distributions of entropy production in
interacting active matter systems. The bound is tight in the limit that
interparticle correlations are small and short-ranged, which we explore in four
canonical active matter models. In all models studied, the bound is weak where
collective fluctuations result in long-ranged correlations, which subsequently
links the locations of phase transitions to enhanced entropy production
fluctuations. We develop a theory for the onset of enhanced fluctuations and
relate it to specific phase transitions in active Brownian particles. We also
derive optimal control forces that realize the dynamics necessary to tune
dissipation and manipulate the system between phases. In so doing, we uncover a
general relationship between entropy production and pattern formation in active
matter, as well as ways of controlling it.
