Large deviation theory to model systems under an external feedback

Abstract

In this paper we address the problem of systems under an external feedback. This is performed using a large deviation approach and rate distortion from information theory. In particular we define a lower boundary for the maximum entropy reduction that can be obtained using a feedback apparatus with a well defined accuracy in terms of measurement of the state of the system. The large deviation approach allows also to define a new set of potentials, including information, which similarly to more conventional thermodynamic potentials can define the state with optimal use of the information given the accuracy of the feedback apparatus.

arXiv comment9 pages, 3 figures