Derivation of the Blackbody Radiation Spectrum by Classical Statistical Mechanics

Details Derivation of the Blackbody Radiation Spectrum by Classical Statistical Mechanics Derivation of the Blackbody Radiation Spectrum by Classical Statistical Mechanics

Sep 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971phrvd...4.1597t&link_type=abstract

Physical Review D, vol. 4, Issue 6, pp. 1597-1601

Physics

Condensed Matter

Statistical Mechanics

19

Scientific paper

It is assumed that the fluctuating radiation energy density in a blackbody cavity is the sum of two stochastically independent terms: a zero-point energy density ρ0 with Lorentz-invariant spectrum which persists at the absolute zero of temperature, and a temperature-dependent energy density ρT which satisfies the laws of statistical mechanics. The mean-square fluctuation <(δρT)2> of ρT is calculated from classical electromagnetic theory and is shown to depend explicitly on <ρ0>. Classical statistical mechanics leads then uniquely from <(δρT)2> to <ρT>, which turns out to satisfy Planck's formula.

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