Exact solutions to macroscopic fluctuation theory through classical integrable systems

TL;DR

This paper reviews recent exact solutions in macroscopic fluctuation theory leveraging classical integrable systems, and provides a cumulant generating function for a tagged particle that aligns with microscopic results.

Contribution

It introduces a novel approach connecting macroscopic fluctuation theory with classical integrable systems for exact solutions.

Findings

Cumulant generating function matches previous microscopic analysis

Establishes a link between macroscopic fluctuation theory and integrable systems

Provides a concise overview of recent developments in the field

Abstract

We give a short overview of recent developments in exact solutions for macroscopic fluctuation theory by using connections to classical integrable systems. A calculation of the cumulant generating function for a tagged particle is also given, agreeing with a previous result obtained from a microscopic analysis.