Large Deviations Principle for the tagged empirical field of a general interacting gas

Abstract

This paper deals with rare events in a general interacting gas at high temperature. The main result is a Large Deviations Principle for the tagged empirical field, which features the competition of an energy term and an entropy term. The approach to proving this Large Deviations Principle is to first deduce one for the tagged empirical field of non-interacting particles at high temperature, and upgrade that result to interacting particle systems.