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Stefan-Boltzmann law

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The total emission capacity $ u $ of an absolutely-black body is proportional to the fourth power of its absolute temperature $ T $:

$$ u = \sigma T ^ {4} , $$

where $ \sigma = ( 5.67032 \pm 0.00071) \cdot 10 ^ {-1} Bt/m ^ {2} \cdot K ^ {4} $( the Stefan–Boltzmann constant). This law was obtained empirically from analysis of experimental data by J. Stefan (1879), and was proposed in thermodynamic terms by L. Boltzmann (1884).

References

[a1] M. Born, "Atomic physics" , Blackie & Son (1958)
How to Cite This Entry:
Stefan-Boltzmann law. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Stefan-Boltzmann_law&oldid=55163
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article