Classical physics and blackbody radiation

TL;DR

This paper explores the classical derivation of blackbody radiation spectrum through numerical solutions of a one-dimensional model, revealing properties like quasistationary states, Stefan-Boltzmann law consistency, and a high-frequency cutoff without statistical assumptions.

Contribution

It demonstrates that classical equations of motion can produce blackbody spectrum features typically attributed to quantum theory, advancing understanding of classical field-matter interactions.

Findings

Classical model exhibits quasistationary states with scaling properties

Spectrum aligns with Stefan-Boltzmann law

High-frequency cutoff observed in the spectrum

Abstract

We investigate the properties of the blackbody spectrum by direct numerical solution of the classical equations of motion of a one-dimensional model that contains the essential general features of the field-matter interaction. Our results, which do not rely on any statistical assumption, show that the classical blackbody spectrum exhibits remarkable properties: (i) a quasistationary state characterized by scaling properties, (ii) consistency with the Stefan-Boltzmann law, and (iii) a high-frequency cutoff. Our work is a preliminary step in the understanding of statistical properties of infinite dimensional systems.