Derivation of the Blackbody Radiation Spectrum by Classical Statistical Mechanics
Abstract
It is assumed that the fluctuating radiation energy density in a blackbody cavity is the sum of two stochastically independent terms: a zeropoint energy density ρ_{0} with Lorentzinvariant spectrum which persists at the absolute zero of temperature, and a temperaturedependent energy density ρ_{T} which satisfies the laws of statistical mechanics. The meansquare fluctuation <(δρ_{T})^{2}> of ρ_{T} is calculated from classical electromagnetic theory and is shown to depend explicitly on <ρ_{0}>. Classical statistical mechanics leads then uniquely from <(δρ_{T})^{2}> to <ρ_{T}>, which turns out to satisfy Planck's formula.
 Publication:

Physical Review D
 Pub Date:
 September 1971
 DOI:
 10.1103/PhysRevD.4.1597
 Bibcode:
 1971PhRvD...4.1597T