Towards a microscopic derivation of the large phonon Boltzmann equation

TL;DR

This paper explores the derivation of the large phonon Boltzmann equation from microscopic principles, focusing on weakly nonlinear wave equations to bridge microscopic dynamics and macroscopic kinetic descriptions.

Contribution

It provides a framework for deriving the phonon Boltzmann equation rigorously from microscopic wave equations in the kinetic limit.

Findings

Established a formal derivation of the phonon Boltzmann equation from microscopic models.

Identified key assumptions and conditions for the kinetic limit to hold.

Bridged microscopic wave dynamics with macroscopic kinetic theory.

Abstract

We outline the kinetic limit for weakly nonlinear wave equations