  Information plays a pivotal role in the thermodynamics of nonequilibrium
processes with feedback. However, much remains to be learned about the nature
of information fluctuations in small scale devices and their relation with
fluctuations in other thermodynamics quantities, like heat and work. Here we
derive a series of fluctuation theorems for information flow and partial
entropy production in a Brownian particle model of feedback cooling and extend
them to arbitrary driven diffusion processes. We then analyze the long-time
behavior of the feedback-cooling model in detail. Our results provide insights
into the structure and origin of large deviations of information and
thermodynamic quantities in autonomous Maxwell's demons.
