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

TL;DR

This paper establishes a Large Deviations Principle for the tagged empirical field in a general interacting gas at high temperature, revealing the interplay between energy and entropy in rare event probabilities.

Contribution

It introduces a novel LDP for the tagged empirical field in interacting gases, extending results from non-interacting systems at high temperature.

Findings

LDP for tagged empirical field in interacting gases

Energy-entropy competition in rare events

Extension from non-interacting to interacting systems

Abstract

This paper deals with rare events in a general {interacting gas} at high temperature, by means of Large Deviations Principles. The main result is an LDP 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.