Large deviations and optimal control theory applied to active Brownian particles
We analyse rare events in a system of active particles, using large deviation theory . In these systems, the active work measures how far the local self-forcing of active particles translates into real motion. I will give a short overview of the relevant large deviation theory, and I will use it analyse events in which the active work takes a non-typical value, over a long period of time. I will explain how these events can also be used to identify "optimal control strategies" that enable particles to use their active forces to generate real motion. I will describe potential connections between this optimal control theory and evolution by natural selection.